def JONSWAP(self,x,t):
"""Sets a wave field according to JONSWAP ocean wave spectrum."""
from spectrum import jonswap
from potential import velocityPotential
modes_x = np.fft.fftfreq(self.Nx) # Fourier mode alignments
modes_y = np.fft.fftfreq(self.Ny)
kx = self.kc_x_modes * modes_x
ky = self.kc_y_modes * modes_y
# Generating mesh grid for 2D spectrum
[kxx, kyy] = np.meshgrid(kx,ky)
# Call jonswap() in spectrum.py module *** Send 1D vectors kx and ky (not kxx or kyy)!
spectrum = jonswap(self.Nx, self.Ny, JS.Hs, JS.gamma, JS.fp, JS.nspread, JS.thetam, JS.gv, kx, ky)
# (DISREGARD FOR NOW) - Imposing iniitial circular zero-pad filter
if JS.filter == 1:
spectrum[ 2*floor(self.kp/self.kc_x)+1 : (self.Nx-1)-2*floor(self.kp/self.kc_x), \
2*floor(selfkp/kc_x)+1 : (self.Ny-1)-2*floor(self.kp/self.kc_x) ] = 0.0 + 0.0j
else:
pass
# Compute the surface elvation via iFFT2D of the spectrum --> take REAL part
# just in case we have some left over (nonzero) imaginary part of 'spectrum'
self.surface = self.h + np.real(np.fft.ifft2(spectrum))
# Compute the velocity potential from linear theory and horizontal velocity
[self.velPotential, self.u, self.v, self.w] = velocityPotential(spectrum, JS.gv, kx, ky)
def JONSWAP(self, x, t):
"""Sets a wave field according to JONSWAP ocean wave spectrum."""
from spectrum import jonswap
from potential import velocityPotential
modes_x = np.fft.fftfreq(self.Nx) # Fourier mode alignments
modes_y = np.fft.fftfreq(self.Ny)
kx = self.kc_x_modes * modes_x
ky = self.kc_y_modes * modes_y
# Generating mesh grid for 2D spectrum
[kxx, kyy] = np.meshgrid(kx, ky)
# Call jonswap() in spectrum.py module *** Send 1D vectors kx and ky (not kxx or kyy)!
spectrum = jonswap(self.Nx, self.Ny, JS.Hs, JS.gamma, JS.fp,
JS.nspread, JS.thetam, JS.gv, kx, ky)
# (DISREGARD FOR NOW) - Imposing iniitial circular zero-pad filter
if JS.filter == 1:
spectrum[ 2*floor(self.kp/self.kc_x)+1 : (self.Nx-1)-2*floor(self.kp/self.kc_x), \
2*floor(selfkp/kc_x)+1 : (self.Ny-1)-2*floor(self.kp/self.kc_x) ] = 0.0 + 0.0j
else:
pass
# Compute the surface elvation via iFFT2D of the spectrum --> take REAL part
# just in case we have some left over (nonzero) imaginary part of 'spectrum'
self.surface = np.real(np.fft.ifft2(spectrum))
# Compute the velocity potential from linear theory and horizontal velocity
[self.velPotential, self.u, self.v,
self.w] = velocityPotential(spectrum, JS.gv, kx, ky)
def JONSWAP():
"""Sets a wave field according to JONSWAP ocean wave spectrum.
A script for initializing data files of a Quasi-3D wave simulation via
the JONSWAP spectrum and directional distribution.
GENERAL NOTES
=============
MODULE: JONSWAP.py (Python Script File)
AUTHOR: Matt Malej ([email protected])
PURPOSE: This Python script is designed to set up and initalize the wave
field via a JONSWAP spectrum and for both directionally confined and
and directional varied distribution.
Will serve as input for simulating linear and eventually weakly nonlinear
random surface water waves in realistic settings.
The module imports JONSWAP_p.py (p = physics), where all the input
parameters are specified.
INPUT: Phyical parameters from JONSWAP_p.py
Self NOTE: for FFT your transforming function needs to be periodic on your
domain and do NOT make your first and final point in the domain equal!
... i.e. for sin(x) do NOT make x=[0,2*pi], but instead x=[dx,2*pi]!
LAST UPDATE: January 14, 2014
"""
# Some Global Variables
omega_peak = 2.0 * pi * JS.fp # peak angular frequency
# peak wavenumber (determinied from disper. rel. with h-->infty)
kp = (2.0 * pi * JS.fp)**2 / JS.gv
neqs = 2 # number of equations
# Discretization
Nx = 2**JS.npw1 # number of Fourier modes
Ny = 2**JS.npw2
Lx = abs(JS.x1e - JS.x1b) # domain length
Ly = abs(JS.y1e - JS.y1b)
kc_x = 2 * pi / Lx
kc_y = 2 * pi / Ly # std. wave factors if modes would be integers
kc_x_modes = Nx * kc_x
kc_y_modes = Ny * kc_y # wave factors for modes obtained from fftfreq()
modes_x = np.fft.fftfreq(Nx) # Fourier mode alignments
modes_y = np.fft.fftfreq(Ny)
kx = kc_x_modes * modes_x
ky = kc_y_modes * modes_y
# Generating mesh grid for 2D spectrum
[kxx, kyy] = np.meshgrid(kx, ky)
# ~ Call jonswap() in spectrum.py module *** Send 1D vectors kx and ky (not kxx nor kyy)!
spectrum = jonswap(Nx, Ny, JS.Hs, JS.gamma, JS.fp,
JS.nspread, JS.thetam, JS.gv, kx, ky)
# (DISREGARD FOR NOW) - Imposing iniitial circular zero-pad filter
if JS.filter == 1:
spectrum[2 * floor(kp / kc_x) + 1: (Nx - 1) - 2 * floor(kp / kc_x), 2 *
floor(kp / kc_x) + 1: (Ny - 1) - 2 * floor(kp / kc_x)] = 0.0 + 0.0j
else:
pass
# *** Compute the surface elvation via iFFT2D of the spectrum --> take REAL part
# just in case we have some left over (nonzero) imaginary part of 'spectrum'
surface = np.real(np.fft.ifft2(spectrum))
# *** Compute the velocity potential from linear theory and horizontal velocity
velPotential, velocity_u, velocity_v = velocityPotential(
spectrum, JS.gv, kx, ky)
try:
#fig1 = plt.figure()
# plt.clf()
#plt.plot(kx[0:Nx/2-1,], abs(spectrum[0:Nx/2-1,0]), 'b', linewidth=2)
# plt.show()
# Attaching 3D axis to the figure
fig = plt.figure()
ax = p3.Axes3D(fig)
x = np.linspace(JS.x1b, JS.x1e, Nx)
y = np.linspace(JS.y1b, JS.y1e, Ny)
[xx, yy] = np.meshgrid(x, y)
# surf = ax.plot_surface(xx,yy,surface,rstride=2,cstride=2, cmap=cm.jet,
# linewidth=0.5, antialiased=False)
ax.plot_wireframe(xx, yy, surface, rstride=4, cstride=4)
plt.show()
except:
pass
# Returning surface elvation along the line of wavemakers [x,y]
loc = 10
return surface # [loc,:]
def JONSWAP():
"""Sets a wave field according to JONSWAP ocean wave spectrum."""
from spectrum import jonswap
from potential import velocityPotential
# Some Global Variables
omega_peak = 2.0 * pi * JS.fp # peak angular frequency
kp = (
2.0 * pi * JS.fp
)**2 / JS.gv # peak wavenumber (determinied from disper. rel. with h-->infty)
neqs = 2 # number of equations
# Discretization
Nx = 2**JS.npw1 # number of Fourier modes
Ny = 2**JS.npw2
Lx = abs(JS.x1e - JS.x1b) # domain length
Ly = abs(JS.y1e - JS.y1b)
kc_x = 2 * pi / Lx
kc_y = 2 * pi / Ly # std. wave factors if modes would be integers
kc_x_modes = Nx * kc_x
kc_y_modes = Ny * kc_y # wave factors for modes obtained from fftfreq()
modes_x = np.fft.fftfreq(Nx) # Fourier mode alignments
modes_y = np.fft.fftfreq(Ny)
kx = kc_x_modes * modes_x
ky = kc_y_modes * modes_y
# Generating mesh grid for 2D spectrum
[kxx, kyy] = np.meshgrid(kx, ky)
# ~ Call jonswap() in spectrum.py module *** Send 1D vectors kx and ky (not kxx nor kyy)!
spectrum = jonswap(Nx, Ny, JS.Hs, JS.gamma, JS.fp, JS.nspread, JS.thetam,
JS.gv, kx, ky)
# (DISREGARD FOR NOW) - Imposing iniitial circular zero-pad filter
if JS.filter == 1:
spectrum[2 * floor(kp / kc_x) + 1:(Nx - 1) - 2 * floor(kp / kc_x),
2 * floor(kp / kc_x) + 1:(Ny - 1) -
2 * floor(kp / kc_x)] = 0.0 + 0.0j
else:
pass
# *** Compute the surface elvation via iFFT2D of the spectrum --> take REAL part
# just in case we have some left over (nonzero) imaginary part of 'spectrum'
surface = np.real(np.fft.ifft2(spectrum))
# *** Compute the velocity potential from linear theory and horizontal velocity
velPotential, velocity_u, velocity_v = velocityPotential(
spectrum, JS.gv, kx, ky)
try:
#fig1 = plt.figure()
#plt.clf()
#plt.plot(kx[0:Nx/2-1,], abs(spectrum[0:Nx/2-1,0]), 'b', linewidth=2)
#plt.show()
# Attaching 3D axis to the figure
fig = plt.figure()
ax = p3.Axes3D(fig)
x = np.linspace(JS.x1b, JS.x1e, Nx)
y = np.linspace(JS.y1b, JS.y1e, Ny)
[xx, yy] = np.meshgrid(x, y)
#surf = ax.plot_surface(xx,yy,surface,rstride=2,cstride=2, cmap=cm.jet,
# linewidth=0.5, antialiased=False)
ax.plot_wireframe(xx, yy, surface, rstride=4, cstride=4)
plt.show()
except:
pass
# Returning surface elvation along the line of wavemakers [x,y]
loc = 10
return surface #[loc,:]
def JONSWAP():
"""Sets a wave field according to JONSWAP ocean wave spectrum.
A script for initializing data files of a Quasi-3D wave simulation via
the JONSWAP spectrum and directional distribution.
GENERAL NOTES
=============
MODULE: JONSWAP.py (Python Script File)
AUTHOR: Matt Malej ([email protected])
PURPOSE: This Python script is designed to set up and initalize the wave
field via a JONSWAP spectrum and for both directionally confined and
and directional varied distribution.
Will serve as input for simulating linear and eventually weakly nonlinear
random surface water waves in realistic settings.
The module imports JONSWAP_p.py (p = physics), where all the input
parameters are specified.
INPUT: Phyical parameters from JONSWAP_p.py
Self NOTE: for FFT your transforming function needs to be periodic on your
domain and do NOT make your first and final point in the domain equal!
... i.e. for sin(x) do NOT make x=[0,2*pi], but instead x=[dx,2*pi]!
LAST UPDATE: January 14, 2014
"""
# Some Global Variables
omega_peak = 2.0*pi*JS.fp # peak angular frequency
kp = (2.0*pi*JS.fp)**2 / JS.gv # peak wavenumber (determinied from disper. rel. with h-->infty)
neqs = 2 # number of equations
# Discretization
Nx = 2**JS.npw1 # number of Fourier modes
Ny = 2**JS.npw2
Lx = abs(JS.x1e - JS.x1b) # domain length
Ly = abs(JS.y1e - JS.y1b)
kc_x = 2*pi/Lx
kc_y = 2*pi/Ly # std. wave factors if modes would be integers
kc_x_modes = Nx*kc_x
kc_y_modes = Ny*kc_y # wave factors for modes obtained from fftfreq()
modes_x = np.fft.fftfreq(Nx) # Fourier mode alignments
modes_y = np.fft.fftfreq(Ny)
kx = kc_x_modes * modes_x
ky = kc_y_modes * modes_y
# Generating mesh grid for 2D spectrum
[kxx, kyy] = np.meshgrid(kx,ky)
# ~ Call jonswap() in spectrum.py module *** Send 1D vectors kx and ky (not kxx nor kyy)!
spectrum = jonswap(Nx, Ny, JS.Hs, JS.gamma, JS.fp, JS.nspread, JS.thetam, JS.gv, kx, ky)
# (DISREGARD FOR NOW) - Imposing iniitial circular zero-pad filter
if JS.filter == 1:
spectrum[ 2*floor(kp/kc_x)+1 : (Nx-1)-2*floor(kp/kc_x), 2*floor(kp/kc_x)+1 : (Ny-1)-2*floor(kp/kc_x) ] = 0.0 + 0.0j
else:
pass
# *** Compute the surface elvation via iFFT2D of the spectrum --> take REAL part
# just in case we have some left over (nonzero) imaginary part of 'spectrum'
surface = np.real(np.fft.ifft2(spectrum) )
# *** Compute the velocity potential from linear theory and horizontal velocity
velPotential, velocity_u, velocity_v = velocityPotential(spectrum, JS.gv, kx, ky)
try:
#fig1 = plt.figure()
#plt.clf()
#plt.plot(kx[0:Nx/2-1,], abs(spectrum[0:Nx/2-1,0]), 'b', linewidth=2)
#plt.show()
# Attaching 3D axis to the figure
fig = plt.figure()
ax = p3.Axes3D(fig)
x = np.linspace(JS.x1b, JS.x1e, Nx)
y = np.linspace(JS.y1b,JS.y1e, Ny)
[xx, yy] = np.meshgrid(x, y)
#surf = ax.plot_surface(xx,yy,surface,rstride=2,cstride=2, cmap=cm.jet,
# linewidth=0.5, antialiased=False)
ax.plot_wireframe(xx,yy,surface, rstride=4, cstride=4)
plt.show()
except:
pass
# Returning surface elvation along the line of wavemakers [x,y]
loc = 10
return surface #[loc,:]
def JONSWAP():
"""Sets a wave field according to JONSWAP ocean wave spectrum."""
from spectrum import jonswap
from potential import velocityPotential
# Some Global Variables
omega_peak = 2.0*pi*JS.fp # peak angular frequency
kp = (2.0*pi*JS.fp)**2 / JS.gv # peak wavenumber (determinied from disper. rel. with h-->infty)
neqs = 2 # number of equations
# Discretization
Nx = 2**JS.npw1 # number of Fourier modes
Ny = 2**JS.npw2
Lx = abs(JS.x1e - JS.x1b) # domain length
Ly = abs(JS.y1e - JS.y1b)
kc_x = 2*pi/Lx
kc_y = 2*pi/Ly # std. wave factors if modes would be integers
kc_x_modes = Nx*kc_x
kc_y_modes = Ny*kc_y # wave factors for modes obtained from fftfreq()
modes_x = np.fft.fftfreq(Nx) # Fourier mode alignments
modes_y = np.fft.fftfreq(Ny)
kx = kc_x_modes * modes_x
ky = kc_y_modes * modes_y
# Generating mesh grid for 2D spectrum
[kxx, kyy] = np.meshgrid(kx,ky)
# ~ Call jonswap() in spectrum.py module *** Send 1D vectors kx and ky (not kxx nor kyy)!
spectrum = jonswap(Nx, Ny, JS.Hs, JS.gamma, JS.fp, JS.nspread, JS.thetam, JS.gv, kx, ky)
# (DISREGARD FOR NOW) - Imposing iniitial circular zero-pad filter
if JS.filter == 1:
spectrum[ 2*floor(kp/kc_x)+1 : (Nx-1)-2*floor(kp/kc_x), 2*floor(kp/kc_x)+1 : (Ny-1)-2*floor(kp/kc_x) ] = 0.0 + 0.0j
else:
pass
# *** Compute the surface elvation via iFFT2D of the spectrum --> take REAL part
# just in case we have some left over (nonzero) imaginary part of 'spectrum'
surface = np.real(np.fft.ifft2(spectrum) )
# *** Compute the velocity potential from linear theory and horizontal velocity
velPotential, velocity_u, velocity_v = velocityPotential(spectrum, JS.gv, kx, ky)
try:
#fig1 = plt.figure()
#plt.clf()
#plt.plot(kx[0:Nx/2-1,], abs(spectrum[0:Nx/2-1,0]), 'b', linewidth=2)
#plt.show()
# Attaching 3D axis to the figure
fig = plt.figure()
ax = p3.Axes3D(fig)
x = np.linspace(JS.x1b, JS.x1e, Nx)
y = np.linspace(JS.y1b,JS.y1e, Ny)
[xx, yy] = np.meshgrid(x, y)
#surf = ax.plot_surface(xx,yy,surface,rstride=2,cstride=2, cmap=cm.jet,
# linewidth=0.5, antialiased=False)
ax.plot_wireframe(xx,yy,surface, rstride=4, cstride=4)
plt.show()
except:
pass
# Returning surface elvation along the line of wavemakers [x,y]
loc = 10
return surface #[loc,:]