221 lines
7.4 KiB
Python
221 lines
7.4 KiB
Python
import csv
|
|
import matplotlib.pyplot as plt
|
|
import os
|
|
import math
|
|
import sys
|
|
import numpy as np
|
|
from matplotlib import animation
|
|
import imageio
|
|
import cmath
|
|
|
|
def newtonpplus(f,h,u) :
|
|
# calcul de k:
|
|
g = 9.81
|
|
kh = 0.5
|
|
x = 0.001
|
|
u=-u
|
|
while (abs((kh - x)/x) > 0.00000001) :
|
|
x = kh
|
|
fx = x*math.tanh(x) - (h/g)*(2*math.pi*f-(u/h)*x)*(2*math.pi*f-(u/h)*x)
|
|
fprimx = math.tanh(x) + x*(1- (math.tanh(x))**2)+(2*u/g)*(2*math.pi*f-(u/h)*x)
|
|
kh = x - (fx/fprimx)
|
|
k = kh/h
|
|
return k
|
|
|
|
def newtonpmoins(f,h,u0) :
|
|
# calcul de k:
|
|
g = 9.81;
|
|
kh = 0.5;
|
|
x = 0.01;
|
|
x = 6*h;
|
|
|
|
while (np.abs((kh - x)/x) > 0.00000001):
|
|
x = kh;
|
|
fx = x*math.tanh(x) - (h/g)*(2*math.pi*f-(u0/h)*x)*(2*math.pi*f-(u0/h)*x);
|
|
fprimx = math.tanh(x) + x*(1- (math.tanh(x))**2)+(2*u0/g)*(2*math.pi*f-(u0/h)*x);
|
|
kh = x - (fx/fprimx);
|
|
k = kh/h
|
|
return k
|
|
|
|
#Calcul du vecteur d'onde a partir de la frÈquence
|
|
#kh : vecteur d'onde * profondeur d'eau
|
|
def newtonpropa(hi,f):
|
|
# calcul de k:
|
|
g=9.81;
|
|
si = (2*math.pi*f)**2/g;
|
|
kh = 0.5;
|
|
x = 0.001;
|
|
while (np.abs((kh - x)/x) > 0.00000001) :
|
|
x = kh;
|
|
fx = x*math.tanh(x) - si*hi;
|
|
fprimx = math.tanh(x) + x*(1- (math.tanh(x))**2);
|
|
kh = x - (fx/fprimx);
|
|
kpropa = kh/hi;
|
|
return kpropa
|
|
|
|
|
|
|
|
def reflex3S(x1,x2,x3,xs1,xs2,xs3,h,mean_freq,fmin,fmax) :
|
|
# Analyse avec transformee de fourier d un signal en sinus
|
|
# calcul du coefficient de reflexion en presence d un courant u
|
|
# tinit : temps initial
|
|
# tfinal : temps final
|
|
# deltat : pas de temps
|
|
# fech= 1/deltat : frequence d echantillonnage
|
|
# T : periode de la houle
|
|
# nbrepoints : nombre de points
|
|
# fmin : frequence minimale de recherche des maxima du signal de fourier
|
|
# fmax : frequence maximale de recherche des maxima du signal de fourier
|
|
# ampliseuil : amplitude minimale des maxima recherches
|
|
# valeur du courant (u > 0 correspond a un courant dans le sens
|
|
# des x croissants)
|
|
#u=0;
|
|
|
|
# h profondeur d'eau
|
|
|
|
#hold on;
|
|
#fech=16;
|
|
#fmin=0.1;fmax=4;ampliseuil=0.005;
|
|
#nbrepoints=fech*T*1000;
|
|
#deltat=1./fech;
|
|
#tinit=0;tfinal=tinit+deltat*(nbrepoints-1);
|
|
|
|
#aitheo=1;artheo=0.4;
|
|
#h=3;
|
|
#T=1.33;
|
|
#ftheo=1/T;
|
|
#fech=16;
|
|
#fmin=0.1;fmax=4;ampliseuil=0.005;
|
|
#nbrepoints=fech*T*1000;
|
|
#deltat=1./fech;
|
|
#tinit=0;tfinal=tinit+deltat*(nbrepoints-1);
|
|
#t = [tinit:deltat:tfinal];
|
|
#ktheo = newtonpropa(ftheo,h);
|
|
|
|
#Positions respectives sondes amonts entr'elles et sondes aval
|
|
# entr'elles
|
|
|
|
# xs1=0;xs2=0.80;xs3=1.30;
|
|
|
|
#ENTREES DONNEES DES 3 SONDES AMONT et des 2 SONDES AVAL
|
|
ampliseuil=0.005;
|
|
#'check'
|
|
#pause
|
|
#PAS DE TEMPS
|
|
deltat1=1/mean_freq;
|
|
deltat2=1/mean_freq;
|
|
deltat3=1/mean_freq;
|
|
#transformees de Fourier
|
|
Y1 = fft(x1,len(x1));
|
|
N1 = len(Y1);
|
|
Y2 = fft(x2,len(x2));
|
|
N2 = len(Y2);
|
|
Y3 = fft(x3,len(x3));
|
|
N3 = len(Y3);
|
|
#amplitudes normalisees, soit coef de fourier
|
|
amplitude1=np.abs(Y1[1:N1//2])/(N1//2);
|
|
nyquist = 1/2;
|
|
freq1 = (np.arange(1, (N1//2)+1, 1)-1)/(N1//2)/deltat1*nyquist;
|
|
amplitude2=np.abs(Y2[1:N2//2])/(N2//2);
|
|
nyquist = 1/2;
|
|
freq2 = (np.arange(1, (N2//2)+1, 1)-1)/(N2//2)/deltat2*nyquist;
|
|
amplitude3=np.abs(Y3[1:N3//2])/(N3//2);
|
|
nyquist = 1/2;
|
|
freq3 = (np.arange(1, (N3//2)+1, 1)-1)/(N3//2)/deltat3*nyquist;
|
|
#recherche de la phase
|
|
theta1=np.angle(Y1[1:N1//2]);
|
|
theta2=np.angle(Y2[1:N2//2]);
|
|
theta3=np.angle(Y3[1:N3//2]);
|
|
#pas de frequence deltaf
|
|
deltaf=1/(N1//2)/deltat1*nyquist;
|
|
nbrefreq=len(freq1);
|
|
#Caracteristiques fondamentaux,sondes canaux 1 et 3
|
|
#distances entre les sondes
|
|
x12=xs2-xs1;
|
|
x13=xs3-xs1;
|
|
x23=xs3-xs2;
|
|
#Debut calcul des coefficients de reflexion
|
|
indmin=np.min(np.where(freq1>0.02));
|
|
indfmin=np.min(np.where(freq1>fmin));
|
|
indfmax=np.max(np.where(freq1<fmax));
|
|
|
|
|
|
T = []
|
|
fre = []
|
|
aincident12 = []
|
|
aincident23 = []
|
|
aincident13 = []
|
|
areflechi12 = []
|
|
areflechi23 = []
|
|
areflechi13 = []
|
|
r13 = []
|
|
ai = []
|
|
ar = []
|
|
Eincident123 = []
|
|
Ereflechi123 = []
|
|
count = 0
|
|
for jj in np.arange(indfmin, indfmax, 1):
|
|
f=freq1[jj]
|
|
#periode
|
|
T.append(1/f)
|
|
fre.append(f)
|
|
#calcul des vecteurs d'onde
|
|
kplus = newtonpplus(f,h,0)
|
|
kmoins = newtonpmoins(f,h,0)
|
|
k = newtonpropa(h,f)
|
|
deltaku=k-(kmoins+kplus)/2
|
|
#amplitude des signaux pour la frequence f:
|
|
a1=amplitude1[jj]
|
|
a2=amplitude2[jj]
|
|
a3=amplitude3[jj]
|
|
#dephasages entre les signaux experimentaux des 3 sondes amont
|
|
phi1=theta1[jj]
|
|
phi2=theta2[jj]
|
|
phi3=theta3[jj]
|
|
phi12=phi2-phi1
|
|
phi13=phi3-phi1
|
|
phi23=phi3-phi2
|
|
#evolution theorique entre les sondes de la phase pour une onde progressive
|
|
delta12p= -kplus*x12
|
|
delta13p= -kplus*x13
|
|
delta23p= -kplus*x23
|
|
delta12m= -kmoins*x12
|
|
delta13m= -kmoins*x13
|
|
delta23m= -kmoins*x23
|
|
#calcul du coefficient de reflexion a partir des sondes 1 et 2
|
|
aincident12.append(math.sqrt(a1*a1+a2*a2-2*a1*a2*math.cos(phi12+delta12p))/(2*np.abs(math.sin((delta12p+delta12m)/2))))
|
|
areflechi12.append(math.sqrt(a1*a1+a2*a2-2*a1*a2*math.cos(phi12-delta12m))/(2*np.abs(math.sin((delta12p+delta12m)/2))))
|
|
#r12(jj)=areflechi12(jj)/aincident12(jj);
|
|
#calcul du coefficient de reflexion a partir des sondes 2 et 3
|
|
aincident23.append(math.sqrt(a2*a2+a3*a3-2*a2*a3*math.cos(phi23+delta23p))/(2*np.abs(math.sin((delta23p+delta23m)/2))))
|
|
areflechi23.append(math.sqrt(a2*a2+a3*a3-2*a2*a3*math.cos(phi23-delta23m))/(2*np.abs(math.sin((delta23p+delta23m)/2))))
|
|
#r23(jj)=areflechi23(jj)/aincident23(jj);
|
|
#calcul du coefficient de reflexion a partir des sondes 1 et 3
|
|
aincident13.append(math.sqrt(a1*a1+a3*a3-2*a1*a3*math.cos(phi13+delta13p))/(2*np.abs(math.sin((delta13p+delta13m)/2))))
|
|
areflechi13.append(math.sqrt(a1*a1+a3*a3-2*a1*a3*math.cos(phi13-delta13m))/(2*np.abs(math.sin((delta13p+delta13m)/2))))
|
|
#r13.append(areflechi13[jj]/aincident13[jj])
|
|
#calcul du coefficient de reflexion par methode des 3 sondesavec moindres carres
|
|
delta1m=0
|
|
delta2m=delta12m
|
|
delta3m=delta13m
|
|
delta1p=0
|
|
delta2p=delta12p
|
|
delta3p=delta13p
|
|
s1=cmath.exp(-1j*2*delta1m)+cmath.exp(-1j*2*delta2m)+cmath.exp(-1j*2*delta3m)
|
|
s2=cmath.exp(+1j*2*delta1p)+cmath.exp(+1j*2*delta2p)+cmath.exp(+1j*2*delta3p)
|
|
s12=cmath.exp(1j*(delta1p-delta1m))+cmath.exp(1j*(delta2p-delta2m))+cmath.exp(1j*(delta3p-delta3m))
|
|
s3=a1*cmath.exp(-1j*(phi1+delta1m))+a2*cmath.exp(-1j*(phi2+delta2m))+a3*cmath.exp(-1j*(phi3+delta3m))
|
|
s4=a1*cmath.exp(-1j*(phi1-delta1p))+a2*cmath.exp(-1j*(phi2-delta2p))+a3*cmath.exp(-1j*(phi3-delta3p))
|
|
s5=s1*s2-s12*s12
|
|
ai.append(abs((s2*s3-s12*s4)/s5))
|
|
ar.append(abs((s1*s4-s12*s3)/s5))
|
|
#refl[jj]=ar[jj]/ai[jj];
|
|
#Calcul de l'energie, on divise par le pas de frequence deltaf
|
|
#calcul de l'energie incidente sans ponderation avec les voisins
|
|
Eincident123.append(0.5*ai[count]*ai[count]/deltaf)
|
|
Ereflechi123.append(0.5*ar[count]*ar[count]/deltaf)
|
|
count+=1
|
|
|
|
|
|
return ai,ar,Eincident123, Ereflechi123, indfmin, indfmax, fre
|