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LICENSE
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LICENSE
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GNU AFFERO GENERAL PUBLIC LICENSE
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Version 3, 19 November 2007
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Copyright (C) 2007 Free Software Foundation, Inc. <https://fsf.org/>
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Everyone is permitted to copy and distribute verbatim copies
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of this license document, but changing it is not allowed.
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Preamble
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The GNU Affero General Public License is a free, copyleft license for
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software and other kinds of works, specifically designed to ensure
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cooperation with the community in the case of network server software.
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The licenses for most software and other practical works are designed
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to take away your freedom to share and change the works. By contrast,
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our General Public Licenses are intended to guarantee your freedom to
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When we speak of free software, we are referring to freedom, not
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A secondary benefit of defending all users' freedom is that
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||||
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||||
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||||
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||||
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||||
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||||
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||||
Each time you convey a covered work, the recipient automatically
|
||||
receives a license from the original licensors, to run, modify and
|
||||
propagate that work, subject to this License. You are not responsible
|
||||
for enforcing compliance by third parties with this License.
|
||||
|
||||
An "entity transaction" is a transaction transferring control of an
|
||||
organization, or substantially all assets of one, or subdividing an
|
||||
organization, or merging organizations. If propagation of a covered
|
||||
work results from an entity transaction, each party to that
|
||||
transaction who receives a copy of the work also receives whatever
|
||||
licenses to the work the party's predecessor in interest had or could
|
||||
give under the previous paragraph, plus a right to possession of the
|
||||
Corresponding Source of the work from the predecessor in interest, if
|
||||
the predecessor has it or can get it with reasonable efforts.
|
||||
|
||||
You may not impose any further restrictions on the exercise of the
|
||||
rights granted or affirmed under this License. For example, you may
|
||||
not impose a license fee, royalty, or other charge for exercise of
|
||||
rights granted under this License, and you may not initiate litigation
|
||||
(including a cross-claim or counterclaim in a lawsuit) alleging that
|
||||
any patent claim is infringed by making, using, selling, offering for
|
||||
sale, or importing the Program or any portion of it.
|
||||
|
||||
11. Patents.
|
||||
|
||||
A "contributor" is a copyright holder who authorizes use under this
|
||||
License of the Program or a work on which the Program is based. The
|
||||
work thus licensed is called the contributor's "contributor version".
|
||||
|
||||
A contributor's "essential patent claims" are all patent claims
|
||||
owned or controlled by the contributor, whether already acquired or
|
||||
hereafter acquired, that would be infringed by some manner, permitted
|
||||
by this License, of making, using, or selling its contributor version,
|
||||
but do not include claims that would be infringed only as a
|
||||
consequence of further modification of the contributor version. For
|
||||
purposes of this definition, "control" includes the right to grant
|
||||
patent sublicenses in a manner consistent with the requirements of
|
||||
this License.
|
||||
|
||||
Each contributor grants you a non-exclusive, worldwide, royalty-free
|
||||
patent license under the contributor's essential patent claims, to
|
||||
make, use, sell, offer for sale, import and otherwise run, modify and
|
||||
propagate the contents of its contributor version.
|
||||
|
||||
In the following three paragraphs, a "patent license" is any express
|
||||
agreement or commitment, however denominated, not to enforce a patent
|
||||
(such as an express permission to practice a patent or covenant not to
|
||||
sue for patent infringement). To "grant" such a patent license to a
|
||||
party means to make such an agreement or commitment not to enforce a
|
||||
patent against the party.
|
||||
|
||||
If you convey a covered work, knowingly relying on a patent license,
|
||||
and the Corresponding Source of the work is not available for anyone
|
||||
to copy, free of charge and under the terms of this License, through a
|
||||
publicly available network server or other readily accessible means,
|
||||
then you must either (1) cause the Corresponding Source to be so
|
||||
available, or (2) arrange to deprive yourself of the benefit of the
|
||||
patent license for this particular work, or (3) arrange, in a manner
|
||||
consistent with the requirements of this License, to extend the patent
|
||||
license to downstream recipients. "Knowingly relying" means you have
|
||||
actual knowledge that, but for the patent license, your conveying the
|
||||
covered work in a country, or your recipient's use of the covered work
|
||||
in a country, would infringe one or more identifiable patents in that
|
||||
country that you have reason to believe are valid.
|
||||
|
||||
If, pursuant to or in connection with a single transaction or
|
||||
arrangement, you convey, or propagate by procuring conveyance of, a
|
||||
covered work, and grant a patent license to some of the parties
|
||||
receiving the covered work authorizing them to use, propagate, modify
|
||||
or convey a specific copy of the covered work, then the patent license
|
||||
you grant is automatically extended to all recipients of the covered
|
||||
work and works based on it.
|
||||
|
||||
A patent license is "discriminatory" if it does not include within
|
||||
the scope of its coverage, prohibits the exercise of, or is
|
||||
conditioned on the non-exercise of one or more of the rights that are
|
||||
specifically granted under this License. You may not convey a covered
|
||||
work if you are a party to an arrangement with a third party that is
|
||||
in the business of distributing software, under which you make payment
|
||||
to the third party based on the extent of your activity of conveying
|
||||
the work, and under which the third party grants, to any of the
|
||||
parties who would receive the covered work from you, a discriminatory
|
||||
patent license (a) in connection with copies of the covered work
|
||||
conveyed by you (or copies made from those copies), or (b) primarily
|
||||
for and in connection with specific products or compilations that
|
||||
contain the covered work, unless you entered into that arrangement,
|
||||
or that patent license was granted, prior to 28 March 2007.
|
||||
|
||||
Nothing in this License shall be construed as excluding or limiting
|
||||
any implied license or other defenses to infringement that may
|
||||
otherwise be available to you under applicable patent law.
|
||||
|
||||
12. No Surrender of Others' Freedom.
|
||||
|
||||
If conditions are imposed on you (whether by court order, agreement or
|
||||
otherwise) that contradict the conditions of this License, they do not
|
||||
excuse you from the conditions of this License. If you cannot convey a
|
||||
covered work so as to satisfy simultaneously your obligations under this
|
||||
License and any other pertinent obligations, then as a consequence you may
|
||||
not convey it at all. For example, if you agree to terms that obligate you
|
||||
to collect a royalty for further conveying from those to whom you convey
|
||||
the Program, the only way you could satisfy both those terms and this
|
||||
License would be to refrain entirely from conveying the Program.
|
||||
|
||||
13. Remote Network Interaction; Use with the GNU General Public License.
|
||||
|
||||
Notwithstanding any other provision of this License, if you modify the
|
||||
Program, your modified version must prominently offer all users
|
||||
interacting with it remotely through a computer network (if your version
|
||||
supports such interaction) an opportunity to receive the Corresponding
|
||||
Source of your version by providing access to the Corresponding Source
|
||||
from a network server at no charge, through some standard or customary
|
||||
means of facilitating copying of software. This Corresponding Source
|
||||
shall include the Corresponding Source for any work covered by version 3
|
||||
of the GNU General Public License that is incorporated pursuant to the
|
||||
following paragraph.
|
||||
|
||||
Notwithstanding any other provision of this License, you have
|
||||
permission to link or combine any covered work with a work licensed
|
||||
under version 3 of the GNU General Public License into a single
|
||||
combined work, and to convey the resulting work. The terms of this
|
||||
License will continue to apply to the part which is the covered work,
|
||||
but the work with which it is combined will remain governed by version
|
||||
3 of the GNU General Public License.
|
||||
|
||||
14. Revised Versions of this License.
|
||||
|
||||
The Free Software Foundation may publish revised and/or new versions of
|
||||
the GNU Affero General Public License from time to time. Such new versions
|
||||
will be similar in spirit to the present version, but may differ in detail to
|
||||
address new problems or concerns.
|
||||
|
||||
Each version is given a distinguishing version number. If the
|
||||
Program specifies that a certain numbered version of the GNU Affero General
|
||||
Public License "or any later version" applies to it, you have the
|
||||
option of following the terms and conditions either of that numbered
|
||||
version or of any later version published by the Free Software
|
||||
Foundation. If the Program does not specify a version number of the
|
||||
GNU Affero General Public License, you may choose any version ever published
|
||||
by the Free Software Foundation.
|
||||
|
||||
If the Program specifies that a proxy can decide which future
|
||||
versions of the GNU Affero General Public License can be used, that proxy's
|
||||
public statement of acceptance of a version permanently authorizes you
|
||||
to choose that version for the Program.
|
||||
|
||||
Later license versions may give you additional or different
|
||||
permissions. However, no additional obligations are imposed on any
|
||||
author or copyright holder as a result of your choosing to follow a
|
||||
later version.
|
||||
|
||||
15. Disclaimer of Warranty.
|
||||
|
||||
THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
|
||||
APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
|
||||
HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
|
||||
OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
|
||||
THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
|
||||
PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
|
||||
IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
|
||||
ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
|
||||
|
||||
16. Limitation of Liability.
|
||||
|
||||
IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
|
||||
WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
|
||||
THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
|
||||
GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
|
||||
USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
|
||||
DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
|
||||
PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
|
||||
EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
|
||||
SUCH DAMAGES.
|
||||
|
||||
17. Interpretation of Sections 15 and 16.
|
||||
|
||||
If the disclaimer of warranty and limitation of liability provided
|
||||
above cannot be given local legal effect according to their terms,
|
||||
reviewing courts shall apply local law that most closely approximates
|
||||
an absolute waiver of all civil liability in connection with the
|
||||
Program, unless a warranty or assumption of liability accompanies a
|
||||
copy of the Program in return for a fee.
|
||||
|
||||
END OF TERMS AND CONDITIONS
|
||||
|
||||
How to Apply These Terms to Your New Programs
|
||||
|
||||
If you develop a new program, and you want it to be of the greatest
|
||||
possible use to the public, the best way to achieve this is to make it
|
||||
free software which everyone can redistribute and change under these terms.
|
||||
|
||||
To do so, attach the following notices to the program. It is safest
|
||||
to attach them to the start of each source file to most effectively
|
||||
state the exclusion of warranty; and each file should have at least
|
||||
the "copyright" line and a pointer to where the full notice is found.
|
||||
|
||||
<one line to give the program's name and a brief idea of what it does.>
|
||||
Copyright (C) <year> <name of author>
|
||||
|
||||
This program is free software: you can redistribute it and/or modify
|
||||
it under the terms of the GNU Affero General Public License as published
|
||||
by the Free Software Foundation, either version 3 of the License, or
|
||||
(at your option) any later version.
|
||||
|
||||
This program is distributed in the hope that it will be useful,
|
||||
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
GNU Affero General Public License for more details.
|
||||
|
||||
You should have received a copy of the GNU Affero General Public License
|
||||
along with this program. If not, see <https://www.gnu.org/licenses/>.
|
||||
|
||||
Also add information on how to contact you by electronic and paper mail.
|
||||
|
||||
If your software can interact with users remotely through a computer
|
||||
network, you should also make sure that it provides a way for users to
|
||||
get its source. For example, if your program is a web application, its
|
||||
interface could display a "Source" link that leads users to an archive
|
||||
of the code. There are many ways you could offer source, and different
|
||||
solutions will be better for different programs; see section 13 for the
|
||||
specific requirements.
|
||||
|
||||
You should also get your employer (if you work as a programmer) or school,
|
||||
if any, to sign a "copyright disclaimer" for the program, if necessary.
|
||||
For more information on this, and how to apply and follow the GNU AGPL, see
|
||||
<https://www.gnu.org/licenses/>.
|
||||
|
||||
1
bathymetry/.gitignore
vendored
1
bathymetry/.gitignore
vendored
|
|
@ -1,4 +1,3 @@
|
|||
/1_scad
|
||||
/2_stl
|
||||
/3_pd
|
||||
/4_fig
|
||||
|
|
|
|||
|
|
@ -23,7 +23,3 @@ root = 2_stl
|
|||
[pandas]
|
||||
root = 3_pd
|
||||
file = data.hdf
|
||||
|
||||
[fig]
|
||||
root = 4_fig
|
||||
format = pgf
|
||||
|
|
|
|||
|
|
@ -27,8 +27,6 @@ folders = {
|
|||
'stl': pathlib.Path(config['stl']['root']),
|
||||
'pandas': pathlib.Path(config['pandas']['root']),
|
||||
}
|
||||
if config.getboolean('fig', 'enable', fallback=False):
|
||||
folders['fig'] = pathlib.Path(config.get('fig', 'root'))
|
||||
for path in folders.values():
|
||||
path.mkdir(exist_ok=True)
|
||||
|
||||
|
|
@ -96,11 +94,8 @@ for bloc in blocs:
|
|||
#line.z = all_blocs.z.fillna(line.z)
|
||||
|
||||
lim = float(config['main']['bathy_max'])
|
||||
bathy_line = line.z.copy()
|
||||
#bathy_line = line.z.clip(upper=lim)
|
||||
bathy_line = bathy_line[(bathy_line.index - L0 < -10) | (bathy_line.index - L0 > 0)]
|
||||
bathy_line.index = np.where((bathy_line > lim) & (bathy_line.index < L0), bathy_line.index + 10, bathy_line.index)
|
||||
rubble_line = line.z[(line.z > lim) & (line.index < L0)]
|
||||
bathy_line = line.z.clip(upper=lim)
|
||||
rubble_line = line.z[line.z > lim]
|
||||
|
||||
data_dict = {}
|
||||
for i in range(blocs.size):
|
||||
|
|
@ -168,34 +163,25 @@ if config['main']['plot'] == 'True':
|
|||
)
|
||||
|
||||
fig, ax = plt.subplots()
|
||||
c = ax.tricontourf(
|
||||
ax.scatter(
|
||||
bathy.lon[flt],
|
||||
bathy.lat[flt],
|
||||
bathy.z[flt],
|
||||
#marker='1',
|
||||
#lw=1,
|
||||
c=bathy.z[flt],
|
||||
marker='1',
|
||||
lw=1,
|
||||
)
|
||||
fig.colorbar(c, label='Altitude (m)')
|
||||
ax.plot(
|
||||
ax.scatter(
|
||||
artha.lon,
|
||||
artha.lat,
|
||||
color='k',
|
||||
marker='+',
|
||||
lw=1,
|
||||
label='Studied domain',
|
||||
)
|
||||
ax.legend()
|
||||
ax.grid(alpha=.2)
|
||||
ax.set(
|
||||
xlabel='Longitude (°)',
|
||||
ylabel='Latitude (°)',
|
||||
aspect='equal',
|
||||
)
|
||||
if config.getboolean('fig', 'enable', fallback=False):
|
||||
fig.savefig(folders['fig'].joinpath(
|
||||
f'map.{config.get("fig", "format")}'))
|
||||
|
||||
fig, ax = plt.subplots(figsize=(6,2))
|
||||
fig, ax = plt.subplots()
|
||||
ax.plot(
|
||||
bathy_line.index,
|
||||
bathy_line,
|
||||
|
|
@ -210,25 +196,21 @@ if config['main']['plot'] == 'True':
|
|||
color='r',
|
||||
lw=1,
|
||||
zorder=11,
|
||||
label='Armour',
|
||||
label='Rubble',
|
||||
)
|
||||
blocs.apply(lambda bloc: ax.fill_between(
|
||||
bloc.index,
|
||||
bloc.z,
|
||||
color='k',
|
||||
zorder=12,
|
||||
#alpha=.1,
|
||||
zorder=9,
|
||||
alpha=.1,
|
||||
label='Caisson',
|
||||
))
|
||||
ax.set(
|
||||
xlabel='x (m)',
|
||||
ylabel='y (m)',
|
||||
aspect='equal',
|
||||
xlim=(bathy_line.index.min(), bathy_line.index.max()),
|
||||
)
|
||||
ax.grid()
|
||||
ax.legend()
|
||||
if config.getboolean('fig', 'enable', fallback=False):
|
||||
fig.savefig(folders['fig'].joinpath(
|
||||
f'bathy.{config.get("fig", "format")}'))
|
||||
fig.legend()
|
||||
|
||||
plt.show(block=True)
|
||||
|
|
|
|||
248
report/cours.sty
248
report/cours.sty
|
|
@ -1,248 +0,0 @@
|
|||
\ProvidesPackage{cours}
|
||||
%%% XeLaTeX ONLY
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
%%%%% Packages
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
\@ifclassloaded{beamer}{}{
|
||||
\RequirePackage[xetex]{geometry}
|
||||
\RequirePackage[pdfusetitle]{hyperref}
|
||||
\RequirePackage{enumitem}
|
||||
}
|
||||
\RequirePackage{fontspec}
|
||||
\RequirePackage{polyglossia}
|
||||
\RequirePackage{csquotes}
|
||||
\RequirePackage{amsmath, amssymb, amsbsy}
|
||||
%\RequirePackage{mathtools}
|
||||
\RequirePackage{siunitx}
|
||||
\RequirePackage{stmaryrd}
|
||||
\RequirePackage{dsfont}
|
||||
\RequirePackage{array}
|
||||
\RequirePackage{esvect}
|
||||
\RequirePackage{tikz}
|
||||
\RequirePackage{pgfplots}
|
||||
\RequirePackage{amsthm}
|
||||
\RequirePackage{pgfpages}
|
||||
\RequirePackage[version=4]{mhchem}
|
||||
%\RequirePackage{breqn}
|
||||
\RequirePackage{listings}
|
||||
\RequirePackage{esint}
|
||||
\RequirePackage{tabularx}
|
||||
\RequirePackage{multirow}
|
||||
\RequirePackage{booktabs}
|
||||
%\RequirePackage{multicol}
|
||||
\RequirePackage{setspace}
|
||||
%\RequirePackage{ulem}
|
||||
\RequirePackage{cancel}
|
||||
\RequirePackage{xcolor}
|
||||
\RequirePackage{unicode-math}
|
||||
%\RequirePackage[backend=biber,sorting=ynt]{biblatex}
|
||||
\RequirePackage[notransparent]{svg}
|
||||
\@ifclassloaded{beamer}{}{
|
||||
\RequirePackage[list=true]{subcaption}
|
||||
}
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
%%%%% Langue
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
\setdefaultlanguage{french}
|
||||
\MakeOuterQuote{"}
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
%%%%% Macros
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
%%% Dérivées / Intégrales
|
||||
\renewcommand\d{\mathrm d}
|
||||
\newcommand\dd{\mathop{}\,\mathrm d}
|
||||
\newcommand\deriv[2]{\frac{\d#1}{\d#2}}
|
||||
\newcommand\dderiv[2]{\frac{\d^2#1}{\d#2^2}}
|
||||
\newcommand\der[2]{\frac{\d#1}{\d#2}}
|
||||
\newcommand\dder[2]{\frac{\d^2#1}{\d#2^2}}
|
||||
\newcommand\dpar[2]{\frac{\partial#1}{\partial#2}}
|
||||
\newcommand\ddpar[2]{\frac{\partial^2#1}{\partial#2^2}}
|
||||
\newcommand\derp[2]{\frac{\partial#1}{\partial#2}}
|
||||
\newcommand\dderp[2]{\frac{\partial^2#1}{\partial#2^2}}
|
||||
\newcommand\dint{\int\displaylimits}
|
||||
\newcommand\doint{\oint\displaylimits}
|
||||
|
||||
%%% Symboles
|
||||
\newcommand\bOmega{\boldsymbol\Omega}
|
||||
\newcommand\bepsilon{\boldsymbol\epsilon}
|
||||
\newcommand\btheta{\boldsymbol\theta}
|
||||
\newcommand\bsigma{\boldsymbol\sigma}
|
||||
\renewcommand\epsilon{\varepsilon}
|
||||
%\renewcommand\C{\coulomb}
|
||||
\newcommand\e{\mathrm e}
|
||||
|
||||
\newcommand\RR{\mathbb R}
|
||||
\newcommand\CC{\mathbb C}
|
||||
\newcommand\KK{\mathbb K}
|
||||
\newcommand\NN{\mathbb N}
|
||||
\newcommand\FF{\mathbb F}
|
||||
\newcommand\EE{\mathbb E}
|
||||
\newcommand\DD{\mathbb D}
|
||||
\newcommand\fF{\mathcal F}
|
||||
\newcommand\dD{\mathcal D}
|
||||
\newcommand\lL{\mathcal L}
|
||||
\newcommand\cC{\mathcal C}
|
||||
|
||||
\newcommand\id{\mathbf 1}
|
||||
\newcommand\Id{\mathrm Id}
|
||||
|
||||
%%% Exposant / Indice à gauche
|
||||
\newcommand\trans[1]{\vphantom{#1}^t#1}
|
||||
\newcommand\eul[1]{\vphantom{#1}^E#1}
|
||||
\newcommand\lag[1]{\vphantom{#1}^L#1}
|
||||
\newcommand\indL[2]{\vphantom{#2}_{#1}#2}
|
||||
\newcommand\expL[2]{\vphantom{#2}^{#1}#2}
|
||||
|
||||
%%% Opérateurs mathématiques
|
||||
\newcommand\abs[1]{\left|#1\right|}
|
||||
\newcommand\nor[1]{\left\lVert#1\right\lVert}
|
||||
\newcommand\peigne{\mathbin{\rotatebox[origin=c]{-90}{$\exists$}}}
|
||||
\newcommand\moy[1]{\left<#1\right>}
|
||||
\newcommand\tor[2]{\vphantom{\begin{array}c#2\end{array}}_{#1}\left|\begin{array}c#2\end{array}\right.}
|
||||
|
||||
\DeclareMathOperator\grad{\u{grad}}
|
||||
\DeclareMathOperator\ggrad{\uu{grad}}
|
||||
\let\div\relax
|
||||
\DeclareMathOperator\diverg{\u{div}}
|
||||
\DeclareMathOperator\rot{\u{rot}}
|
||||
\DeclareMathOperator\Ker{Ker}
|
||||
\DeclareMathOperator\sign{sign}
|
||||
\DeclareMathOperator\tr{tr}
|
||||
\DeclareMathOperator\cotan{cotan}
|
||||
\DeclareMathOperator\cond{cond}
|
||||
\DeclareMathOperator\erf{erf}
|
||||
\DeclareMathOperator\erfc{erfc}
|
||||
\DeclareMathOperator\sech{sech}
|
||||
|
||||
%%% Vecteurs et Matrices
|
||||
\renewcommand\u[1]{\underline{#1}}
|
||||
\newcommand\uu[1]{\underline{\underline{#1}}}
|
||||
\newcommand\ov[1]{\overline{#1}}
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
%%%%% Paramétrage des packages
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
%%% Styles de théorèmes
|
||||
\theoremstyle{remark}
|
||||
\newtheorem{rem}{Remarque}
|
||||
\newtheorem*{rem*}{Remarque}
|
||||
\theoremstyle{definition}
|
||||
\newtheorem*{defi}{Définition}
|
||||
\newtheorem{ex}{Exemple}
|
||||
\newtheorem*{theo}{Théorème}
|
||||
|
||||
%%% Listings (code)
|
||||
\lstset{numbers=left,
|
||||
numberstyle=\tiny\color{gray}\ttfamily,
|
||||
language=Python,
|
||||
basicstyle=\linespread{1.2}\ttfamily,
|
||||
columns = flexible,
|
||||
keywordstyle=\color{blue},
|
||||
commentstyle=\itshape\color{gray},
|
||||
stringstyle=\color{ForestGreen},
|
||||
frame=single,
|
||||
stepnumber=5,
|
||||
showstringspaces=true,
|
||||
backgroundcolor=\color{ultralightgray},
|
||||
morekeywords={>>>, np, array, zeros, shape},
|
||||
%breaklines=true,
|
||||
%prebreak=\textbackslash,
|
||||
alsoletter=>
|
||||
}
|
||||
|
||||
%%% Tikz / PGF
|
||||
\usetikzlibrary{shapes}
|
||||
\pgfplotsset{compat=1.14}
|
||||
|
||||
%%% SIUnitX
|
||||
\sisetup{
|
||||
mode = text,
|
||||
%locale = FR,
|
||||
%list-final-separator = {\text{~et~}},
|
||||
%list-pair-separator = {\text{~et~}},
|
||||
%range-phrase = {\text{~à~}},
|
||||
retain-explicit-plus,
|
||||
forbid-literal-units,
|
||||
sticky-per,
|
||||
%inter-unit-product = {.},
|
||||
per-mode = power-positive-first,
|
||||
uncertainty-mode = separate,
|
||||
}
|
||||
\SendSettingsToPgf
|
||||
\DeclareSIUnit\met{met}
|
||||
\DeclareSIUnit\gon{gon}
|
||||
\DeclareSIUnit\bar{bar}
|
||||
\DeclareSIUnit\psi{psi}
|
||||
\DeclareSIUnit\deg{deg}
|
||||
|
||||
%%% Arcs
|
||||
\DeclareFontFamily{OMX}{yhex}{}
|
||||
\DeclareFontShape{OMX}{yhex}{m}{n}{<->yhcmex10}{}
|
||||
\DeclareSymbolFont{yhlargesymbols}{OMX}{yhex}{m}{n}
|
||||
\DeclareMathAccent{\wideparen}{\mathord}{yhlargesymbols}{"F3}
|
||||
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
%%%%% Mise en forme
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
\@ifclassloaded{beamer}{}{
|
||||
\geometry{
|
||||
a4paper,
|
||||
total={16cm, 24cm}
|
||||
}
|
||||
}
|
||||
|
||||
\setmainfont{Inter}
|
||||
\setsansfont{Inter}
|
||||
\setmathfont[mathrm=sym]{Fira Math}
|
||||
\setmonofont[Ligatures=TeX]{Fira Code}
|
||||
|
||||
\definecolor{ENSblue}{RGB}{0,119,139}
|
||||
\definecolor{ultralightgray}{gray}{.95}
|
||||
\definecolor{customblue}{RGB}{0,102,204}
|
||||
|
||||
%\@ifclassloaded{letter}{}{
|
||||
% \renewcommand\thesection{\Roman{section}}
|
||||
% \renewcommand\thesubsection{\thesection.\arabic{subsection}}
|
||||
% \renewcommand\thesubsubsection{\thesubsection.\arabic{subsubsection}}
|
||||
%}
|
||||
|
||||
\@ifclassloaded{beamer}{}{
|
||||
\hypersetup{
|
||||
citecolor=customblue,
|
||||
filecolor=customblue,
|
||||
colorlinks=true,
|
||||
linkcolor=customblue,
|
||||
urlcolor=customblue
|
||||
}
|
||||
|
||||
\setlist[itemize]{nosep}
|
||||
}
|
||||
|
||||
\setcounter{secnumdepth}{3}
|
||||
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
%%%%% Fonctions pgfplots
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
\makeatletter
|
||||
\pgfmathdeclarefunction{erf}{1}{%
|
||||
\begingroup
|
||||
\pgfmathparse{#1 > 0 ? 1 : -1}%
|
||||
\edef\sign{\pgfmathresult}%
|
||||
\pgfmathparse{abs(#1)}%
|
||||
\edef\x{\pgfmathresult}%
|
||||
\pgfmathparse{1/(1+0.3275911*\x)}%
|
||||
\edef\t{\pgfmathresult}%
|
||||
\pgfmathparse{%
|
||||
1 - (((((1.061405429*\t -1.453152027)*\t) + 1.421413741)*\t
|
||||
-0.284496736)*\t + 0.254829592)*\t*exp(-(\x*\x))}%
|
||||
\edef\y{\pgfmathresult}%
|
||||
\pgfmathparse{(\sign)*\y}%
|
||||
\pgfmath@smuggleone\pgfmathresult%
|
||||
\endgroup
|
||||
}
|
||||
\makeatother
|
||||
|
|
@ -1,684 +0,0 @@
|
|||
%% Creator: Matplotlib, PGF backend
|
||||
%%
|
||||
%% To include the figure in your LaTeX document, write
|
||||
%% \input{<filename>.pgf}
|
||||
%%
|
||||
%% Make sure the required packages are loaded in your preamble
|
||||
%% \usepackage{pgf}
|
||||
%%
|
||||
%% Also ensure that all the required font packages are loaded; for instance,
|
||||
%% the lmodern package is sometimes necessary when using math font.
|
||||
%% \usepackage{lmodern}
|
||||
%%
|
||||
%% Figures using additional raster images can only be included by \input if
|
||||
%% they are in the same directory as the main LaTeX file. For loading figures
|
||||
%% from other directories you can use the `import` package
|
||||
%% \usepackage{import}
|
||||
%%
|
||||
%% and then include the figures with
|
||||
%% \import{<path to file>}{<filename>.pgf}
|
||||
%%
|
||||
%% Matplotlib used the following preamble
|
||||
%% \usepackage{fontspec}
|
||||
%% \setmainfont{DejaVuSerif.ttf}[Path=\detokenize{/home/edpibu/Code/openfoam_project/env/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}]
|
||||
%% \setsansfont{DejaVuSans.ttf}[Path=\detokenize{/home/edpibu/Code/openfoam_project/env/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}]
|
||||
%% \setmonofont{DejaVuSansMono.ttf}[Path=\detokenize{/home/edpibu/Code/openfoam_project/env/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}]
|
||||
%%
|
||||
\begingroup%
|
||||
\makeatletter%
|
||||
\begin{pgfpicture}%
|
||||
\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{6.000000in}{2.000000in}}%
|
||||
\pgfusepath{use as bounding box, clip}%
|
||||
\begin{pgfscope}%
|
||||
\pgfsetbuttcap%
|
||||
\pgfsetmiterjoin%
|
||||
\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}%
|
||||
\pgfsetfillcolor{currentfill}%
|
||||
\pgfsetlinewidth{0.000000pt}%
|
||||
\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}%
|
||||
\pgfsetstrokecolor{currentstroke}%
|
||||
\pgfsetdash{}{0pt}%
|
||||
\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}%
|
||||
\pgfpathlineto{\pgfqpoint{6.000000in}{0.000000in}}%
|
||||
\pgfpathlineto{\pgfqpoint{6.000000in}{2.000000in}}%
|
||||
\pgfpathlineto{\pgfqpoint{0.000000in}{2.000000in}}%
|
||||
\pgfpathlineto{\pgfqpoint{0.000000in}{0.000000in}}%
|
||||
\pgfpathclose%
|
||||
\pgfusepath{fill}%
|
||||
\end{pgfscope}%
|
||||
\begin{pgfscope}%
|
||||
\pgfsetbuttcap%
|
||||
\pgfsetmiterjoin%
|
||||
\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}%
|
||||
\pgfsetfillcolor{currentfill}%
|
||||
\pgfsetlinewidth{0.000000pt}%
|
||||
\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}%
|
||||
\pgfsetstrokecolor{currentstroke}%
|
||||
\pgfsetstrokeopacity{0.000000}%
|
||||
\pgfsetdash{}{0pt}%
|
||||
\pgfpathmoveto{\pgfqpoint{0.750000in}{0.571935in}}%
|
||||
\pgfpathlineto{\pgfqpoint{5.400000in}{0.571935in}}%
|
||||
\pgfpathlineto{\pgfqpoint{5.400000in}{1.408065in}}%
|
||||
\pgfpathlineto{\pgfqpoint{0.750000in}{1.408065in}}%
|
||||
\pgfpathlineto{\pgfqpoint{0.750000in}{0.571935in}}%
|
||||
\pgfpathclose%
|
||||
\pgfusepath{fill}%
|
||||
\end{pgfscope}%
|
||||
\begin{pgfscope}%
|
||||
\pgfpathrectangle{\pgfqpoint{0.750000in}{0.571935in}}{\pgfqpoint{4.650000in}{0.836130in}}%
|
||||
\pgfusepath{clip}%
|
||||
\pgfsetrectcap%
|
||||
\pgfsetroundjoin%
|
||||
\pgfsetlinewidth{0.803000pt}%
|
||||
\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
|
||||
\pgfsetstrokecolor{currentstroke}%
|
||||
\pgfsetdash{}{0pt}%
|
||||
\pgfpathmoveto{\pgfqpoint{0.750000in}{0.571935in}}%
|
||||
\pgfpathlineto{\pgfqpoint{0.750000in}{1.408065in}}%
|
||||
\pgfusepath{stroke}%
|
||||
\end{pgfscope}%
|
||||
\begin{pgfscope}%
|
||||
\pgfsetbuttcap%
|
||||
\pgfsetroundjoin%
|
||||
\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}%
|
||||
\pgfsetfillcolor{currentfill}%
|
||||
\pgfsetlinewidth{0.803000pt}%
|
||||
\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}%
|
||||
\pgfsetstrokecolor{currentstroke}%
|
||||
\pgfsetdash{}{0pt}%
|
||||
\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.048611in}}{\pgfqpoint{0.000000in}{0.000000in}}{%
|
||||
\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}%
|
||||
\pgfpathlineto{\pgfqpoint{0.000000in}{-0.048611in}}%
|
||||
\pgfusepath{stroke,fill}%
|
||||
}%
|
||||
\begin{pgfscope}%
|
||||
\pgfsys@transformshift{0.750000in}{0.571935in}%
|
||||
\pgfsys@useobject{currentmarker}{}%
|
||||
\end{pgfscope}%
|
||||
\end{pgfscope}%
|
||||
\begin{pgfscope}%
|
||||
\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
|
||||
\pgfsetstrokecolor{textcolor}%
|
||||
\pgfsetfillcolor{textcolor}%
|
||||
\pgftext[x=0.750000in,y=0.474713in,,top]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 0}%
|
||||
\end{pgfscope}%
|
||||
\begin{pgfscope}%
|
||||
\pgfpathrectangle{\pgfqpoint{0.750000in}{0.571935in}}{\pgfqpoint{4.650000in}{0.836130in}}%
|
||||
\pgfusepath{clip}%
|
||||
\pgfsetrectcap%
|
||||
\pgfsetroundjoin%
|
||||
\pgfsetlinewidth{0.803000pt}%
|
||||
\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
|
||||
\pgfsetstrokecolor{currentstroke}%
|
||||
\pgfsetdash{}{0pt}%
|
||||
\pgfpathmoveto{\pgfqpoint{1.370000in}{0.571935in}}%
|
||||
\pgfpathlineto{\pgfqpoint{1.370000in}{1.408065in}}%
|
||||
\pgfusepath{stroke}%
|
||||
\end{pgfscope}%
|
||||
\begin{pgfscope}%
|
||||
\pgfsetbuttcap%
|
||||
\pgfsetroundjoin%
|
||||
\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}%
|
||||
\pgfsetfillcolor{currentfill}%
|
||||
\pgfsetlinewidth{0.803000pt}%
|
||||
\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}%
|
||||
\pgfsetstrokecolor{currentstroke}%
|
||||
\pgfsetdash{}{0pt}%
|
||||
\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.048611in}}{\pgfqpoint{0.000000in}{0.000000in}}{%
|
||||
\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}%
|
||||
\pgfpathlineto{\pgfqpoint{0.000000in}{-0.048611in}}%
|
||||
\pgfusepath{stroke,fill}%
|
||||
}%
|
||||
\begin{pgfscope}%
|
||||
\pgfsys@transformshift{1.370000in}{0.571935in}%
|
||||
\pgfsys@useobject{currentmarker}{}%
|
||||
\end{pgfscope}%
|
||||
\end{pgfscope}%
|
||||
\begin{pgfscope}%
|
||||
\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
|
||||
\pgfsetstrokecolor{textcolor}%
|
||||
\pgfsetfillcolor{textcolor}%
|
||||
\pgftext[x=1.370000in,y=0.474713in,,top]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 20}%
|
||||
\end{pgfscope}%
|
||||
\begin{pgfscope}%
|
||||
\pgfpathrectangle{\pgfqpoint{0.750000in}{0.571935in}}{\pgfqpoint{4.650000in}{0.836130in}}%
|
||||
\pgfusepath{clip}%
|
||||
\pgfsetrectcap%
|
||||
\pgfsetroundjoin%
|
||||
\pgfsetlinewidth{0.803000pt}%
|
||||
\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
|
||||
\pgfsetstrokecolor{currentstroke}%
|
||||
\pgfsetdash{}{0pt}%
|
||||
\pgfpathmoveto{\pgfqpoint{1.990000in}{0.571935in}}%
|
||||
\pgfpathlineto{\pgfqpoint{1.990000in}{1.408065in}}%
|
||||
\pgfusepath{stroke}%
|
||||
\end{pgfscope}%
|
||||
\begin{pgfscope}%
|
||||
\pgfsetbuttcap%
|
||||
\pgfsetroundjoin%
|
||||
\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}%
|
||||
\pgfsetfillcolor{currentfill}%
|
||||
\pgfsetlinewidth{0.803000pt}%
|
||||
\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}%
|
||||
\pgfsetstrokecolor{currentstroke}%
|
||||
\pgfsetdash{}{0pt}%
|
||||
\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.048611in}}{\pgfqpoint{0.000000in}{0.000000in}}{%
|
||||
\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}%
|
||||
\pgfpathlineto{\pgfqpoint{0.000000in}{-0.048611in}}%
|
||||
\pgfusepath{stroke,fill}%
|
||||
}%
|
||||
\begin{pgfscope}%
|
||||
\pgfsys@transformshift{1.990000in}{0.571935in}%
|
||||
\pgfsys@useobject{currentmarker}{}%
|
||||
\end{pgfscope}%
|
||||
\end{pgfscope}%
|
||||
\begin{pgfscope}%
|
||||
\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
|
||||
\pgfsetstrokecolor{textcolor}%
|
||||
\pgfsetfillcolor{textcolor}%
|
||||
\pgftext[x=1.990000in,y=0.474713in,,top]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 40}%
|
||||
\end{pgfscope}%
|
||||
\begin{pgfscope}%
|
||||
\pgfpathrectangle{\pgfqpoint{0.750000in}{0.571935in}}{\pgfqpoint{4.650000in}{0.836130in}}%
|
||||
\pgfusepath{clip}%
|
||||
\pgfsetrectcap%
|
||||
\pgfsetroundjoin%
|
||||
\pgfsetlinewidth{0.803000pt}%
|
||||
\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
|
||||
\pgfsetstrokecolor{currentstroke}%
|
||||
\pgfsetdash{}{0pt}%
|
||||
\pgfpathmoveto{\pgfqpoint{2.610000in}{0.571935in}}%
|
||||
\pgfpathlineto{\pgfqpoint{2.610000in}{1.408065in}}%
|
||||
\pgfusepath{stroke}%
|
||||
\end{pgfscope}%
|
||||
\begin{pgfscope}%
|
||||
\pgfsetbuttcap%
|
||||
\pgfsetroundjoin%
|
||||
\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}%
|
||||
\pgfsetfillcolor{currentfill}%
|
||||
\pgfsetlinewidth{0.803000pt}%
|
||||
\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}%
|
||||
\pgfsetstrokecolor{currentstroke}%
|
||||
\pgfsetdash{}{0pt}%
|
||||
\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{-0.048611in}}{\pgfqpoint{0.000000in}{0.000000in}}{%
|
||||
\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}%
|
||||
\pgfpathlineto{\pgfqpoint{0.000000in}{-0.048611in}}%
|
||||
\pgfusepath{stroke,fill}%
|
||||
}%
|
||||
\begin{pgfscope}%
|
||||
\pgfsys@transformshift{2.610000in}{0.571935in}%
|
||||
\pgfsys@useobject{currentmarker}{}%
|
||||
\end{pgfscope}%
|
||||
\end{pgfscope}%
|
||||
\begin{pgfscope}%
|
||||
\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
|
||||
\pgfsetstrokecolor{textcolor}%
|
||||
\pgfsetfillcolor{textcolor}%
|
||||
\pgftext[x=2.610000in,y=0.474713in,,top]{\color{textcolor}\sffamily\fontsize{10.000000}{12.000000}\selectfont 60}%
|
||||
\end{pgfscope}%
|
||||
\begin{pgfscope}%
|
||||
\pgfpathrectangle{\pgfqpoint{0.750000in}{0.571935in}}{\pgfqpoint{4.650000in}{0.836130in}}%
|
||||
\pgfusepath{clip}%
|
||||
\pgfsetrectcap%
|
||||
\pgfsetroundjoin%
|
||||
\pgfsetlinewidth{0.803000pt}%
|
||||
\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}%
|
||||
\pgfsetstrokecolor{currentstroke}%
|
||||
\pgfsetdash{}{0pt}%
|
||||
\pgfpathmoveto{\pgfqpoint{3.230000in}{0.571935in}}%
|
||||
\pgfpathlineto{\pgfqpoint{3.230000in}{1.408065in}}%
|
||||
\pgfusepath{stroke}%
|
||||
\end{pgfscope}%
|
||||
\begin{pgfscope}%
|
||||
\pgfsetbuttcap%
|
||||
\pgfsetroundjoin%
|
||||
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|
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|
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|
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|
||||
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|
||||
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|
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|
||||
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|
||||
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|
||||
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|
||||
}%
|
||||
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|
||||
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|
||||
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|
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|
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|
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|
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
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|
||||
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|
||||
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|
||||
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|
||||
}%
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
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|
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|
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|
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
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|
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|
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|
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|
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|
||||
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|
||||
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|
||||
}%
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
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|
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|
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|
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|
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|
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|
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|
||||
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|
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|
||||
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
||||
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|
||||
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|
||||
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|
||||
}%
|
||||
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|
||||
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|
||||
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
||||
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|
||||
}%
|
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|
||||
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
||||
}%
|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
||||
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|
||||
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|
||||
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|
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|
||||
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
||||
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|
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|
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|
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|
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|
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|
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||||
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|
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|
||||
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|
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|
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|
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|
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|
||||
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|
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|
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|
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|
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|
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|
||||
\end{pgfscope}%
|
||||
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|
||||
\makeatother%
|
||||
\endgroup%
|
||||
2096
report/fig/map.pgf
2096
report/fig/map.pgf
File diff suppressed because it is too large
Load diff
|
|
@ -1,78 +0,0 @@
|
|||
@misc{olaFlow,
|
||||
author={Higuera, P.},
|
||||
title={olaFlow: {CFD} for waves [{S}oftware].},
|
||||
year=2017,
|
||||
doi={10.5281/zenodo.1297013},
|
||||
url={https://doi.org/10.5281/zenodo.1297013}
|
||||
}
|
||||
|
||||
@report{amir,
|
||||
author={Amir Parvin},
|
||||
title={Processes allowing large block displacement under wave action},
|
||||
year={2020},
|
||||
}
|
||||
|
||||
@article{cox2018extraordinary,
|
||||
title={Extraordinary boulder transport by storm waves (west of Ireland, winter 2013--2014), and criteria for analysing coastal boulder deposits},
|
||||
author={Cox, R{\'o}nadh and Jahn, Kalle L and Watkins, Oona G and Cox, Peter},
|
||||
journal={Earth-Science Reviews},
|
||||
volume={177},
|
||||
pages={623--636},
|
||||
year={2018},
|
||||
publisher={Elsevier}
|
||||
}
|
||||
|
||||
@article{shah2013coastal,
|
||||
title={Coastal boulders in Martigues, French Mediterranean: evidence for extreme storm waves during the Little Ice Age},
|
||||
author={Shah-Hosseini, M and Morhange, C and De Marco, A and Wante, J and Anthony, EJ and Sabatier, F and Mastronuzzi, G and Pignatelli, C and Piscitelli, A},
|
||||
journal={Zeitschrift f{\"u}r Geomorphologie},
|
||||
volume={57},
|
||||
number={Suppl 4},
|
||||
pages={181--199},
|
||||
year={2013}
|
||||
}
|
||||
|
||||
@conference{abadie,
|
||||
title={Large concrete block displacement under extreme wave: analysis of the 2/28/2017 event},
|
||||
author={Amir Parvin and Volker Roeber and Pierre-Antoine Poncet and D. Sous and M. Mengaillou and Stéphane Abadie},
|
||||
booktitle={Seminaire technique EZPONDA},
|
||||
year={2019},
|
||||
}
|
||||
|
||||
@phdthesis{poncet2021characterization,
|
||||
title={Characterization of wave impact loading on structures at full scale: field experiment, statistical analysis and 3D advanced numerical modeling},
|
||||
author={Poncet, Pierre-Antoine},
|
||||
year={2021},
|
||||
school={Pau},
|
||||
chapter={4},
|
||||
}
|
||||
|
||||
@article{nott2003waves,
|
||||
title={Waves, coastal boulder deposits and the importance of the pre-transport setting},
|
||||
author={Nott, Jonathan},
|
||||
journal={Earth and Planetary Science Letters},
|
||||
volume={210},
|
||||
number={1-2},
|
||||
pages={269--276},
|
||||
year={2003},
|
||||
publisher={Elsevier}
|
||||
}
|
||||
|
||||
@article{zijlema2011swash,
|
||||
title={SWASH: An operational public domain code for simulating wave fields and rapidly varied flows in coastal waters},
|
||||
author={Zijlema, Marcel and Stelling, Guus and Smit, Pieter},
|
||||
journal={Coastal Engineering},
|
||||
volume={58},
|
||||
number={10},
|
||||
pages={992--1012},
|
||||
year={2011},
|
||||
publisher={Elsevier}
|
||||
}
|
||||
|
||||
@misc{shomsjl,
|
||||
author="SHOM",
|
||||
title="MNT topo-bathymétrique côtier de la baie de Saint-Jean-de-Luz et de ses abords a 20m (Projet TANDEM).",
|
||||
year="2016",
|
||||
doi={10.17183/MNT_COTIER_BAIE_SJL_TANDEM_20m_WGS84},
|
||||
url={http://dx.doi.org/10.17183/MNT_COTIER_BAIE_SJL_TANDEM_20m_WGS84},
|
||||
}
|
||||
192
report/main.tex
192
report/main.tex
|
|
@ -1,192 +0,0 @@
|
|||
\documentclass[english, a4paper, 12pt]{article}
|
||||
\usepackage{cours}
|
||||
\setmainlanguage{english}
|
||||
|
||||
\usepackage[
|
||||
backend=biber,
|
||||
sorting=ynt,
|
||||
style=authoryear
|
||||
]{biblatex}
|
||||
\bibliography{library}
|
||||
|
||||
\title{OpenFoam Project\\\huge Simulation of the breaking wave flow at the
|
||||
Artha breakwater}
|
||||
\author{Edgar P. Burkhart}
|
||||
|
||||
\begin{document}
|
||||
\maketitle
|
||||
|
||||
\tableofcontents
|
||||
|
||||
\section{Introduction}
|
||||
In February 2017, a \SI{50}{\tonne} concrete block was displaced by a wave at
|
||||
the Artha breakwater, in the entrance of the bay of Saint-Jean-de-Luz. This
|
||||
event was captured by a photographer, and an initial study (\cite{amir})
|
||||
allowed to highlight the circumstances which caused the block displacement.
|
||||
|
||||
The phenomenon of block displacement by waves has been studied in the past with
|
||||
multiple approaches (\cite{cox2018extraordinary,shah2013coastal}). In 2014, a
|
||||
study of displaced blocks on the coast of Ireland was conducted by
|
||||
\cite{cox2018extraordinary}. This study highlighted a strong correlation
|
||||
between the mass of displaced boulders and coastal topography. Notably, an
|
||||
inverse exponential relation between boulder mass and elevation was
|
||||
established. According to the presentation by \cite{abadie}, the block that was
|
||||
displaced at the Artha breakwater in 2017 falls in accordance with these
|
||||
results, as shown in \autoref{fig:compcox}.
|
||||
|
||||
\begin{figure}
|
||||
\centering
|
||||
\begin{tikzpicture}
|
||||
\begin{semilogyaxis}[
|
||||
xmin=0,
|
||||
xmax=25,
|
||||
ymin=0.1,
|
||||
ymax=1000,
|
||||
domain=0:25,
|
||||
grid=both,
|
||||
legend entries={\cite{cox2018extraordinary}, Artha 2017},
|
||||
xlabel={Elevation (\si{\m})},
|
||||
ylabel={Mass (\si{\tonne})},
|
||||
]
|
||||
\addplot[no markers] {exp(5.01-0.15*x)};
|
||||
\addplot[only marks] coordinates {
|
||||
(8.2,50)
|
||||
};
|
||||
\draw [dashed,help lines] (axis cs:0,50) -| (axis cs:8.2,0.1);
|
||||
\end{semilogyaxis}
|
||||
\end{tikzpicture}
|
||||
\caption{Comparison between the correlation found by
|
||||
\cite{cox2018extraordinary} and the block displaced at the Artha breakwater
|
||||
in 2017 (\SI{50}{\tonne}, \SI{8.2}{\m}).}\label{fig:compcox}
|
||||
\end{figure}
|
||||
|
||||
\cite{shah2013coastal} studied coastal boulders in Martigues, on the french
|
||||
mediterranean coast. Similarly to \cite{cox2018extraordinary}, displaced
|
||||
boulders were studied regarding their mass and position on the shore.
|
||||
The study concludes that those blocks are evidence of the risks associated with
|
||||
high energy waves on the mediterranean coast, and links the displaced boulders
|
||||
to extreme storms, but does not exclude the possibility of tsunamis.
|
||||
|
||||
Other studies focus on the theoretical aspects of bock displacement by water
|
||||
flow. \cite{nott2003waves} proposed a set of equations for determining the
|
||||
minimum wave height that would lead to displacement of a boulder in different
|
||||
scenarios. This study highlights that the environment of the boulder before
|
||||
transport is a major factor in calculating that minimum wave height, as well
|
||||
as water depth at the boulder initial location.
|
||||
|
||||
The goal of this project will be to perform a sensibility study on the
|
||||
parameters representing the porosity of the shell of the artha breakwater in a
|
||||
two-dimensionnal olaFlow (\cite{olaFlow}) simulation of wave impact on the
|
||||
breakwater.
|
||||
|
||||
Studies on the transformation of waves over the Artha breakwater have already
|
||||
been conducted. \cite{poncet2021characterization} has performed such a study
|
||||
using the SWASH (\cite{zijlema2011swash}) model. The results from a calibration
|
||||
study on the porosity of the breakwater shell yielded a porosity of \num{0.25}
|
||||
for the lowest root mean squared error compared to experimental values.
|
||||
This value is unexpectedely low, and a porosity of \num{0.40} was used in the
|
||||
following computations, as it represents the expected porosity of such a
|
||||
block armour.
|
||||
|
||||
\section{Methods}
|
||||
\subsection{Model}
|
||||
In this project, we will model the transformation of a storm wave over the
|
||||
Artha breakwater using the olaFlow (\cite{olaFlow}) model in a two-dimensionnal
|
||||
domain. This model has several features that will be important for this study.
|
||||
It provides powerful wave-generation and wave absorption capabilities, as well
|
||||
as the ability to study two-phase flow through porous media.
|
||||
|
||||
The olaFlow model is based on VARANS equations\footnote{Volume-Averaged
|
||||
Reynolds-Averaged Navier-Stokes equations}. This model is based on a
|
||||
finite-volume approach, and provides multiple volume-averaging methods for
|
||||
turbulence: the $k-\varepsilon$ model and the $k-\omega$ sst model. The
|
||||
$k-\omega$ sst model should provide better results in situations where strong
|
||||
pressure gradients are present, at the cost of computing power.
|
||||
For the purposes of this initial sensibility study, the $k-\omega$ model will
|
||||
be used.
|
||||
|
||||
\subsection{Domain}
|
||||
The studied domain will be a two-dimensionnal vertical slice going through the
|
||||
Artha breakwater. In order to provide accurate results while keeping
|
||||
computation times acceptable, a domain length of \SI{150}{\m} was chosen, with
|
||||
a length of \SI{120}{\m} towards the offshore and \SI{30}{\m} towards the
|
||||
inside of the Saint-Jean-de-Luz bay, as shown in \autoref{fig:map}.
|
||||
|
||||
\begin{figure}
|
||||
\centering
|
||||
\input{fig/map.pgf}
|
||||
\caption{Studied domain.}\label{fig:map}
|
||||
\end{figure}
|
||||
|
||||
The bathymetry was generated using bathymetric data from the SHOM
|
||||
(\cite{shomsjl}). Although the density of points is fairly low in this data,
|
||||
it should be precise enough for the purposes of this project.
|
||||
In addition to this data, the geometry of the superstructure was taken from
|
||||
\cite{amir}, and the size of the porous armor layer was inspired from
|
||||
\cite{poncet2021characterization}. The necessary stl files that are used by
|
||||
snappyHexMesh for the solid boundaries and olaFlow for the porosity
|
||||
configuration were generated using a custom python script, and the resulting
|
||||
case is plotted in \autoref{fig:conf}.
|
||||
|
||||
\begin{figure}
|
||||
\centering
|
||||
\input{fig/bathy.pgf}
|
||||
\caption{Studied configuration (bathymetry and porosity).}\label{fig:conf}
|
||||
\end{figure}
|
||||
|
||||
\subsection{Mesh}
|
||||
In order to provide accurate results with an acceptable computation time, a
|
||||
mesh with \SI{1}{\m} cells was generated on the domain. It seems like olaFlow
|
||||
cannot use variable mesh sizing, which meant that the mesh was still fairly
|
||||
coarse near the edges of the domain.
|
||||
|
||||
The boundary conditions were set to a wave generator on the offshore boundary,
|
||||
and a wave absorption boundary on the bay side. The bottom and the caisson were
|
||||
set to wall boundaries, and the top side of the domain was set to an
|
||||
atmospheric boundary.
|
||||
|
||||
\subsection{Model setup}
|
||||
In an attempt to model the event of February 2017 in Saint-Jean-de-Luz, the
|
||||
water level was set to \SI{5}{\m}. The inbound wave on the offshore side of
|
||||
the domain was set as a solitary Boussinesq wave, with a wave height
|
||||
$H=\SI{7.5}{\m}$. The wave equation is the following:
|
||||
\begin{equation}
|
||||
\eta=H\left[\sech\sqrt{\frac 34\frac Hh\frac{x-ct}h}\right]^2
|
||||
\end{equation}
|
||||
|
||||
\subsection{Porosity setup}
|
||||
The goal of the study is to find out the influence of the porosity parameters
|
||||
on the model results. Porosity in the olaFlow model is goverened by five
|
||||
parameters: a, b, c are tuning parameters that represent friction inside
|
||||
the porous material, D50 is the mean nominal diameter of blocks, and porosity.
|
||||
|
||||
In this study, we will focus on the D50 and porosity parameters, as a, b and c
|
||||
should be tuned according to experimental data. The friction parameters will be
|
||||
set to the default from the breakwater example in the olaFlow model.
|
||||
|
||||
Four cases will be run, with all combinations of the parameters in
|
||||
\autoref{tab:params}. The D50 parameters is based on the smallest and largest
|
||||
edge size of the blocks that make up the breakwater armour. The porosity
|
||||
parameters are based on the work of \cite{poncet2021characterization}, with
|
||||
\num{0.40} being the value that he used for the numerical study, and \num{0.25}
|
||||
being the value that yielded the lowest error in the model calibration.
|
||||
|
||||
\begin{table}
|
||||
\centering
|
||||
\begin{tabular}{lcc}
|
||||
\toprule
|
||||
\bfseries Parameters & & \\
|
||||
\midrule
|
||||
D50 & \SI{4}{\m} & \SI{2}{\m} \\
|
||||
Porosity & \num{0.40} & \num{0.25} \\
|
||||
\bottomrule
|
||||
\end{tabular}
|
||||
\caption{Parameter values.}\label{tab:params}
|
||||
\end{table}
|
||||
|
||||
\section{Results}
|
||||
|
||||
\section{Conclusion}
|
||||
|
||||
\printbibliography
|
||||
\end{document}
|
||||
Reference in a new issue