Biblio: SPH

biblio/chapters/literature.tex

@@ -172,6 +172,8 @@ measured data.
 
 \section{Modelling wave impact on a breakwater}
 
+\subsection{Introduction}
+
 Modelling rubble-mound breakwaters such as the Artha breakwater requires
 complex considerations on several aspects. First of all, an accurate of the
 fluid's behavior in the porous armour of the breakwater is necessary. Then,
@@ -180,32 +182,86 @@ Several types of models have been developped that can be used to study breaking
 wave flow on a porous breakwater.
 
 \subsection{SPH models}
+
+\subsubsection{Introduction}
+
 Smoothed-Particle Hydrodynamics (SPH) models rely on a Lagrangian
-representation of the fluid.
+representation of the fluid \parencite{violeau2012fluid}. These models are
+meshless, and work by considering fluids as a collection of particles.
+
+SPH models have been shown to provide satisfactory results for the modeling of
+turbulent free surface flows \parencite{violeau2007numerical}. Additionnaly,
+\textcite{dalrymple2006numerical} showed that SPH models can be used in small
+scale models of water waves. In this part, literature on modeling flow in
+porous media and the adequate boundary conditions for wave modeling will be
+reviewed.
 
 \subsubsection{Porosity modelling}
 
-\cite{jiang2007mesoscale}: Meso-scale SPH model of flow in isotropic porous
+Multiple approaches can be used when modeling porous media using SPH models.
-media; randomly placed particles with repulsive force; reasonable results.
+The most obvious approach relies on the use of discrete elements in the porous
+domain. For instance, \textcite{altomare2014numerical} showed that an SPH model
+along with discrete modeling of the blocks composing a breakwater could yield
+satisfactory results. The meshless character of SPH models allows for modeling
+the large scale outside the porous media and the small scale of the space
+between blocks effectively.
 
-%\cite{jutzi2008numerical}: not applicable, impacts on solid bodies
+Nevertheless, the more common approach is to use a macro-scale model in porous
+media, in which the porous domain is considered to have a set of homogeneous
+properties.
+\textcite{jiang2007mesoscale} used randomly placed fixed particles in the
+porous media in order to model porosity at a microscopic scale from mesoscopic
+porosity properties. The resulting model showed reliable results in studying
+the flow through porous media.
 
-\cite{shao2010}: incompressible flow with porous media; Navier-Stokes,
+By contrast, \textcite{shao2010} used volume-averaged Navier-Stokes equations
-Volume-Averaged $k-\varepsilon$; porosity model is same as
+along with an averaged porosity model
-\cite{troch1999development} but without inertia term
+\parencite{huang2003structural,burcharth1995one} in an incompressible SPH
-\parencite{huang2003structural}
+(ISPH) model in order to model wave flow in porous media, accounting for a
+linear and quadratic term in porosity induced friction. Turbulence was modeled
+with a $k-\varepsilon$ volume averaged model. Good agreement was highlighted
+between the results from this model and other models, analytical results and
+experimental measurements for solitary and regular waves interacting with a
+porous breakwater.
 
-\cite{altomare2014numerical} "microscopic" model of breakwater
+Similarly, \textcite{ren2016improved} presents a weakly-compressible SPH
+(WCSPH) model using the volume averaged Favre averaged Navier-Stokes (VAFANS)
+equations along with a large Eddy simulation (LES, \cite{ren2014numerical})
+turbulence model. Interaction between turbulent flows and porous media is
+studied and good agreement is shown between model results and experimental
+data. Additionnaly, it is highlighted that the addition of the turbulence model
+does increase the accuracy of the model. Similar results are found by
+\textcite{wen2016sph} when studying wave impact on non-porous structures using
+the same model.
 
-\cite{kunz2016study} comparison of sph model with micro-model experiments
+The same model was then extended to a three-dimensional model by
+\textcite{wen20183d}. The computed free surface and forces on a structure were
+shown to be accurately predicted by the 3D model.
 
-\textbf{\cite{ren2016improved}} VAFANS equations to solve incompressible
+%\paragraph{Notes}
-turbulent flow with porous media. Same porosity model as \cite{shao2010}
+%
-
+%\cite{jiang2007mesoscale}: Meso-scale SPH model of flow in isotropic porous
-\cite{pahar2016modeling}
+%media; randomly placed particles with repulsive force; reasonable results.
-\cite{peng2017multiphase}
+%
-\cite{wen20183d}: 3D VAFANS
+%\cite{shao2010}: incompressible flow with porous media; Navier-Stokes,
-\cite{kazemi2020sph}
+%Volume-Averaged $k-\varepsilon$; porosity model is same as
+%\cite{troch1999development} but without inertia term
+%\parencite{huang2003structural}
+%
+%\cite{altomare2014numerical} "microscopic" model of breakwater
+%
+%\cite{kunz2016study} comparison of sph model with micro-model experiments; not
+%quite applicable
+%
+%\textbf{\cite{ren2016improved}} VAFANS equations to solve incompressible
+%turbulent flow with porous media. Same porosity model as \cite{shao2010}
+%
+%\cite{wen2016sph}
+%
+%\cite{pahar2016modeling}
+%\cite{peng2017multiphase}
+%\cite{wen20183d}: 3D VAFANS
+%\cite{kazemi2020sph}
 
 \subsubsection{Wave generation}
 
@@ -213,6 +269,8 @@ turbulent flow with porous media. Same porosity model as \cite{shao2010}
 \textbf{\cite{altomare2017long}}
 \cite{wen2018non}
 
+\subsubsection{Conclusion}
+
 \subsection{VOF models}
 
 \subsubsection{Introduction}
@@ -233,16 +291,16 @@ but the representation of turbulence and air-extrusion still required
 improvement.
 
 \textcite{troch1999development} developed the VOFbreak\textsuperscript{2} model
-in order to provide improvements. The Forchheimer theory
+in order to provide improvements to earlier models. The Forchheimer theory
 \parencite{burcharth1995one} is used in order to model the behavior of the flow
 inside porous media. The hydraulic gradient generated in porous media is
 decomposed as a linear term, a quadratic term, and an inertia term. Those terms
 are ponderated by three coefficients that need to be calibrated. Several
 attempts have been made to obtain analytical formulas for those
 \parencite{burcharth1995one,van1995wave}, but no universal result has been
-provided. \textcite{vieira2021novel} additionnaly proposed using artificial
+provided for the inertia term in particular. \textcite{vieira2021novel}
-neural networks in order to calibrate those values, which are generally
+additionnaly proposed using artificial neural networks in order to calibrate
-calibrated using experimental results.
+those values, which are generally calibrated using experimental results.
 
 Parallely, \textcite{liu1999numerical} created a new model (COBRAS) that used
 the VOF method. The model is based on the combination of Reynolds averaged
@@ -293,6 +351,8 @@ Nonetheless, the representation of porosity in those models is still mainly
 based on experimental calibration, particularly for the inertia term of
 porosity induced friction.
 
+\subsection{Conclusion}
+
 %\paragraph{Notes}
 %
 %\cite{van1995wave,troch1999development}
@@ -318,8 +378,8 @@ porosity induced friction.
 %\cite{vieira2021novel}: Use of artificial neural networks to determine porosity
 %parameter for VOF VARANS model.
 
-\subsection{Other}
+%\subsection{Other}
-
+%
-BEM: \cite{hall1994boundary,koley2020numerical}
+%BEM: \cite{hall1994boundary,koley2020numerical}
 
 \section{Modeling block displacement}

biblio/library.bib

@@ -965,3 +965,52 @@
   publisher={Elsevier}
 }
 
+@article{dalrymple2006numerical,
+  title={Numerical modeling of water waves with the SPH method},
+  author={Dalrymple, Robert Anthony and Rogers, BD},
+  journal={Coastal engineering},
+  volume={53},
+  number={2-3},
+  pages={141--147},
+  year={2006},
+  publisher={Elsevier}
+}
+
+@article{wen2016sph,
+  title={A SPH numerical wave basin for modeling wave-structure interactions},
+  author={Wen, Hongjie and Ren, Bing and Dong, Ping and Wang, Yongxue},
+  journal={Applied Ocean Research},
+  volume={59},
+  pages={366--377},
+  year={2016},
+  publisher={Elsevier}
+}
+
+@book{violeau2012fluid,
+  title={Fluid mechanics and the SPH method: theory and applications},
+  author={Violeau, Damien},
+  year={2012},
+  publisher={Oxford University Press}
+}
+
+@article{violeau2007numerical,
+  title={Numerical modelling of complex turbulent free-surface flows with the SPH method: an overview},
+  author={Violeau, Damien and Issa, Reza},
+  journal={International Journal for Numerical Methods in Fluids},
+  volume={53},
+  number={2},
+  pages={277--304},
+  year={2007},
+  publisher={Wiley Online Library}
+}
+
+@article{ren2014numerical,
+  title={Numerical simulation of wave interaction with porous structures using an improved smoothed particle hydrodynamic method},
+  author={Ren, Bing and Wen, Hongjie and Dong, Ping and Wang, Yongxue},
+  journal={Coastal Engineering},
+  volume={88},
+  pages={88--100},
+  year={2014},
+  publisher={Elsevier}
+}
+

biblio/main.tex

@@ -15,11 +15,10 @@
 }
 
 \title{\interlight\huge M2 Internship\\{\Huge Bibliography review}\\
-\vspace{1em}
+\vspace{1em} Simulation of the breaking wave flow which generated the 50T
-Simulation
+concrete block displacement at the Artha breakwater on February 28, 2017}
-of the breaking wave flow which generated the 50T concrete block displacement
+\author{\Large Edgar P.
-at the Artha breakwater on February 28, 2017}
+Burkhart\thanks{\email{edgar-pierre.burkhart@etud.univ-pau.fr},
-\author{\Large Edgar P. Burkhart\thanks{\email{edgar-pierre.burkhart@etud.univ-pau.fr},
 \email{edgar.burkhart@ens-paris-saclay.fr}.}}
 \affil{Université de Pau et des Pays de l'Adour}
 \affil{École Normale Supérieure Paris-Saclay}
@@ -41,5 +40,6 @@ at the Artha breakwater on February 28, 2017}
 
 \backmatter
 %\nocite{*}
-\printbibliography
+\defbibnote{bibstyle}{\emph{Bibliographic style: ISO690 Author-Year.}}
+\printbibliography[prenote=bibstyle]
 \end{document}