def plotScalogram(self, axes, size, offset, max_h=1000., min_h=0.,
p_label='', s_label='',
wavelet=wave.Morlet, scaling='log',
order=2, omega0=5.,
notes=4, largestscale=4):
print(size)
print(largestscale)
if self._detrend:
self._v = plb.detrend(self._values[offset:offset+size], key='linear')
else:
self._v = self._values[offset:offset+size]
self._y = self._v
self._x = self._time[offset:offset+size]
self._min_h = min_h
self._max_h = max_h
self._axes = axes
self._scaling = scaling
self._wt = WaveletTransform(self._y, wavelet=wavelet, scaling=scaling,
notes=notes,
largestscale=size//largestscale,
order=order,
omega0=omega0)
self._wt.transformed.connect(self._plotScalogram)
self._wt.notifyProgress.connect(self._notifyProgress)
self._wt.terminated.connect(lambda: self.cancelled.emit())
self._wt.start()
def plotSignal(self, axes, offset, size, xlabel='', ylabel='', style='-'):
if self._detrend:
self._v = plb.detrend(self._values[offset:offset+size], key='linear')
else:
self._v = self._values[offset:offset+size]
axes.plot_date(self._time[offset:offset+size],
self._v, style)
def plotSignal(self, axes, offset, size, xlabel='', ylabel='', style='-'):
if self._detrend:
self._v = plb.detrend(self._values[offset:offset + size],
key='linear')
else:
self._v = self._values[offset:offset + size]
axes.plot_date(self._time[offset:offset + size], self._v, style)
def plotScalogram(self,
axes,
size,
offset,
max_h=1000.,
min_h=0.,
p_label='',
s_label='',
wavelet=wave.Morlet,
scaling='log',
order=2,
omega0=5.,
notes=4,
largestscale=4):
print(size)
print(largestscale)
if self._detrend:
self._v = plb.detrend(self._values[offset:offset + size],
key='linear')
else:
self._v = self._values[offset:offset + size]
self._y = self._v
self._x = self._time[offset:offset + size]
self._min_h = min_h
self._max_h = max_h
self._axes = axes
self._scaling = scaling
self._wt = WaveletTransform(self._y,
wavelet=wavelet,
scaling=scaling,
notes=notes,
largestscale=size // largestscale,
order=order,
omega0=omega0)
self._wt.transformed.connect(self._plotScalogram)
self._wt.notifyProgress.connect(self._notifyProgress)
self._wt.terminated.connect(lambda: self.cancelled.emit())
self._wt.start()
def main():
f = sys.argv[1]
res_dir = sys.argv[2]
dtinput = sys.argv[3]
FIG_DIR = fig_dir(res_dir)
DAT_DIR = f'dat/'
longbn = long_basename(f)
tsbn = ts_basename(longbn)
fftbn = fft_basename(tsbn)
orbitbn = orbit_basename(tsbn)
tokens = ['Re', 'Bo', 'alpha', 'wf', 'NtsT', 'NT']
try:
values = [parse_token(longbn, token) for token in tokens]
Re = values[0]
Bo = values[1]
alpha = values[2]
wf = values[3] # Forcing Angular Freq
NtsT = int(values[4])
NT = int(values[5])
runs = f.split('runs_')[-1].split('/')[0]
except Exception as ex:
print('Exception in parse token: ', ex)
if float(wf) > 0:
Period = 2 * np.pi / float(wf)
dt = Period / NtsT
Nsteps = float(NT * NtsT)
else:
print('wf not greater than 0. wf = ', wf) # COMPLETE THIS!
# if TU<0:
# Nsteps = -TU
# if wf!=0:
# dt = float(1/(wf*Nsteps))
# elif wf==0:
# dt = float(dtinput)
# else:
# dt = float(dtinput)
# Nsteps = float(TU/dt)
title_string = longbn.replace('_', ' ')
t, Ek, Eg, Ew, ur, uw, uz = np.loadtxt(f).T
os.makedirs(FIG_DIR, exist_ok=True)
#############
# Plot ffts #
#############
P = 100
M = int(len(Ek) * P / 100)
T = M * dt # Period ??
w0 = 2 * np.pi / T # Natural Frequency??
AEk = Ek[-M:].std() # Amplitud of Oscillation
fftEk = abs(fft(detrend(Ek[-M:]) *
blk(M))[:M // 2]) # FFT with Blackman filter [array]
wMEk = w0 * fftEk.argmax() # Compute dominant frequency
AEg = Eg[-M:].std() # Amplitud of Oscillation
fftEg = abs(fft(detrend(Eg[-M:]) *
blk(M))[:M // 2]) # FFT with Blackman filter [array]
wMEg = w0 * fftEg.argmax() # Compute dominant frequency
AEw = Ew[-M:].std() # Amplitud of Oscillation
fftEw = abs(fft(detrend(Ew[-M:]) *
blk(M))[:M // 2]) # FFT with Blackman filter [array]
wMEw = w0 * fftEw.argmax() # Compute dominant frequency
Aur = ur[-M:].std() # Amplitud of Oscillation
fftur = abs(fft(detrend(ur[-M:]) *
blk(M))[:M // 2]) # FFT with Blackman filter [array]
wMur = w0 * fftur.argmax() # Compute dominant frequency
Auw = uw[-M:].std() # Amplitud of Oscillation
fftuw = abs(fft(detrend(uw[-M:]) *
blk(M))[:M // 2]) # FFT with Blackman filter [array]
wMuw = w0 * fftuw.argmax() # Compute dominant frequency
Auz = uz[-M:].std() # Amplitud of Oscillation
fftuz = abs(fft(detrend(uz[-M:]) *
blk(M))[:M // 2]) # FFT with Blackman filter [array]
wMuz = w0 * fftuz.argmax() # Compute dominant frequency
wFFT = min([wMEk, wMEg, wMEw, wMur, wMuw, wMuz])
wLim = 2
AnotationSize = 15
xPosText = 0.25
yPosText = 0.92
ticksize = 12
labelsize = 18
labelpadx = 3
labelpady = 16
fig, axes = plt.subplots(nrows=2, ncols=3,
figsize=(14, 9)) # Create canvas & axes
## Global Kinetic Energy FFT
axes[0, 0].semilogy(w0 * np.arange(len(fftEk)), fftEk, 'k-')
axes[0, 0].annotate('$\omega^*$ = {:f}'.format(wMEk),
xy=(wMEk, fftEk.max()),
xycoords='data',
xytext=(xPosText, yPosText),
textcoords='axes fraction',
size=AnotationSize,
arrowprops=dict(arrowstyle="->"))
axes[0, 0].set_xlabel('$\omega$', fontsize=labelsize, labelpad=labelpadx)
axes[0, 0].set_ylabel('$|\hat{E}_k|$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[0, 0].set_xlim(0, wLim)
axes[0, 0].tick_params(labelsize=ticksize)
## Global Angular Momentum FFT
axes[0, 1].semilogy(w0 * np.arange(len(fftEw)), fftEw, 'k-')
axes[0, 1].annotate('$\omega^*$ = {:f}'.format(wMEw),
xy=(wMEw, fftEw.max()),
xycoords='data',
xytext=(xPosText, yPosText),
textcoords='axes fraction',
size=AnotationSize,
arrowprops=dict(arrowstyle="->"))
axes[0, 1].set_xlabel('$\omega$', fontsize=labelsize, labelpad=labelpadx)
axes[0, 1].set_ylabel('$|\hat{E}_w|$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[0, 1].set_xlim(0, wLim)
axes[0, 1].tick_params(labelsize=ticksize)
## Global Enstrophy FFT
axes[0, 2].semilogy(w0 * np.arange(len(fftEg)), fftEg, 'k-')
axes[0, 2].annotate('$\omega^*$ = {:f}'.format(wMEg),
xy=(wMEg, fftEk.max()),
xycoords='data',
xytext=(xPosText, yPosText),
textcoords='axes fraction',
size=AnotationSize,
arrowprops=dict(arrowstyle="->"))
axes[0, 2].set_xlabel('$\omega$', fontsize=labelsize, labelpad=labelpadx)
axes[0, 2].set_ylabel('$|\hat{E}_{\gamma}|$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[0, 2].set_xlim(0, wLim)
axes[0, 2].tick_params(labelsize=ticksize)
## Local Radial Velocity FFT
axes[1, 0].semilogy(w0 * np.arange(len(fftur)), fftur, 'k-')
axes[1, 0].annotate('$\omega^*$ = {:f}'.format(wMur),
xy=(wMur, fftur.max()),
xycoords='data',
xytext=(xPosText, yPosText),
textcoords='axes fraction',
size=AnotationSize,
arrowprops=dict(arrowstyle="->"))
axes[1, 0].set_xlabel('$\omega$', fontsize=labelsize, labelpad=labelpadx)
axes[1, 0].set_ylabel('$|\hat{u}_r|$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[1, 0].set_xlim(0, wLim)
axes[1, 0].tick_params(labelsize=ticksize)
## Local Azimuthal Velocity FFT
axes[1, 1].semilogy(w0 * np.arange(len(fftuw)), fftuw, 'k-')
axes[1, 1].annotate('$\omega^*$ = {:f}'.format(wMuw),
xy=(wMuw, fftuw.max()),
xycoords='data',
xytext=(xPosText, yPosText),
textcoords='axes fraction',
size=AnotationSize,
arrowprops=dict(arrowstyle="->"))
axes[1, 1].set_xlabel('$\omega$', fontsize=labelsize, labelpad=labelpadx)
axes[1, 1].set_ylabel(r'$|\hat{u}_{\theta}|$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[1, 1].set_xlim(0, wLim)
axes[1, 1].tick_params(labelsize=ticksize)
## Local Axial Velocity FFT
axes[1, 2].semilogy(w0 * np.arange(len(fftuz)), fftuz, 'k-')
axes[1, 2].annotate('$\omega^*$ = {:f}'.format(wMuz),
xy=(wMuz, fftuz.max()),
xycoords='data',
xytext=(xPosText, yPosText),
textcoords='axes fraction',
size=AnotationSize,
arrowprops=dict(arrowstyle="->"))
axes[1, 2].set_xlabel('$\omega$', fontsize=labelsize, labelpad=labelpadx)
axes[1, 2].set_ylabel('$|\hat{u}_z|$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[1, 2].set_xlim(0, wLim)
axes[1, 2].tick_params(labelsize=ticksize)
fig.tight_layout()
savefig(f'{FIG_DIR:s}{fftbn:s}.png')
plt.close()
####################
# Plot time series #
####################
P = 5 # last P% of the time series
Nperiods = 4
if float(wf) > 0:
M = int(Nperiods * NtsT)
# else: COMPLETE THIS PART
# if wFFT == 0:
# M = int(len(t)*P/100)
# else:
# TUmin = Nperiods*2*np.pi/wFFT
# M = ceil(TUmin/dt)
ticksize = 12
labelsize = 18
labelpadx = 3
labelpady = 10
w = 1 + float(alpha) * np.cos(float(wf) * t[-M:])
fig, axes = plt.subplots(nrows=2, ncols=3,
figsize=(14, 9)) # Create canvas & axes
## Global Kinetic Energy Time Series
axes[0, 0].plot(t[-M:] / Period, Ek[-M:], 'r-')
axes[0, 0].set_xlabel('$t/T_f$', fontsize=labelsize, labelpad=labelpadx)
axes[0, 0].set_ylabel('$E_k$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[0, 0].tick_params(labelsize=ticksize)
ax2 = axes[0, 0].twinx()
ax2.plot(t[-M:] / Period, w, color='tab:blue')
ax2.set_ylabel('$\omega$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
ax2.tick_params(labelsize=ticksize)
## Global Angular Momentum Time Series
axes[0, 1].plot(t[-M:] / Period, Ew[-M:], 'r-')
axes[0, 1].set_xlabel('$t/T_f$', fontsize=labelsize, labelpad=labelpadx)
axes[0, 1].set_ylabel('$E_{\omega}$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[0, 1].tick_params(labelsize=ticksize)
ax2 = axes[0, 1].twinx()
ax2.plot(t[-M:] / Period, w, color='tab:blue')
ax2.set_ylabel('$\omega$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
ax2.tick_params(labelsize=ticksize)
## Global Enstrophy Time Series
axes[0, 2].plot(t[-M:] / Period, Eg[-M:], 'r-')
axes[0, 2].set_xlabel('$t/T_f$', fontsize=labelsize, labelpad=labelpadx)
axes[0, 2].set_ylabel('$E_{\gamma}$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[0, 2].tick_params(labelsize=ticksize)
ax2 = axes[0, 2].twinx()
ax2.plot(t[-M:] / Period, w, color='tab:blue')
ax2.set_ylabel('$\omega$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
ax2.tick_params(labelsize=ticksize)
## Local Radial Velocity Time Series
axes[1, 0].plot(t[-M:] / Period, ur[-M:], 'r-')
axes[1, 0].set_xlabel('$t/T_f$', fontsize=labelsize, labelpad=labelpadx)
axes[1, 0].set_ylabel('$u_r$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[1, 0].tick_params(labelsize=ticksize)
ax2 = axes[1, 0].twinx()
ax2.plot(t[-M:] / Period, w, color='tab:blue')
ax2.set_ylabel('$\omega$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
ax2.tick_params(labelsize=ticksize)
## Local Azimuthal Velocity Time Series
axes[1, 1].plot(t[-M:] / Period, uw[-M:], 'r-')
axes[1, 1].set_xlabel('$t/T_f$', fontsize=labelsize, labelpad=labelpadx)
axes[1, 1].set_ylabel(r'$u_{\theta}$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[1, 1].tick_params(labelsize=ticksize)
ax2 = axes[1, 1].twinx()
ax2.plot(t[-M:] / Period, w, color='tab:blue')
ax2.set_ylabel('$\omega$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
ax2.tick_params(labelsize=ticksize)
## Local Axial Velocity Time Series
axes[1, 2].plot(t[-M:] / Period, uz[-M:], 'r-')
axes[1, 2].set_xlabel('$t/T_f$', fontsize=labelsize, labelpad=labelpadx)
axes[1, 2].set_ylabel('$u_z$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[1, 2].tick_params(labelsize=ticksize)
ax2 = axes[1, 2].twinx()
ax2.plot(t[-M:] / Period, w, color='tab:blue')
ax2.set_ylabel('$\omega$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
ax2.tick_params(labelsize=ticksize)
fig.tight_layout()
fig.savefig(f'{FIG_DIR:s}{tsbn:s}.png')
plt.close()
#####################
# Plot phase orbits #
#####################
elevation = 30
theta0 = 10
dtheta = 35
ticksize = 0.1
labelsize = 16
labelpadx = 0
labelpady = 0
labelpadz = 0
fig = plt.figure(figsize=(14, 10)) # Create canvas
## Plot Global Orbit
for j in range(1, 4):
ax = fig.add_subplot(2, 3, j, projection='3d')
ax.xaxis.set_rotate_label(False) # disable automatic rotation
ax.yaxis.set_rotate_label(False) # disable automatic rotation
ax.zaxis.set_rotate_label(False) # disable automatic rotation
ax.plot(Eg, Ew, Ek, 'g-')
ax.set_xlabel('$E_{\gamma}$', fontsize=labelsize, labelpad=labelpadx)
ax.set_ylabel('$E_{\omega}$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
ax.set_zlabel('$E_k$',
rotation=0,
fontsize=labelsize,
labelpad=labelpadz)
ax.tick_params(labelsize=ticksize)
ax.view_init(elevation, theta0 + (j - 1) * dtheta)
## Plot Local Orbit
for j in range(1, 4):
ax = fig.add_subplot(2, 3, j + 3, projection='3d')
ax.xaxis.set_rotate_label(False) # disable automatic rotation
ax.yaxis.set_rotate_label(False) # disable automatic rotation
ax.zaxis.set_rotate_label(False) # disable automatic rotation
ax.plot(ur, uw, uz, 'b-')
ax.set_xlabel('$u_r$', fontsize=labelsize, labelpad=labelpadx)
ax.set_ylabel(r'$u_{\theta}$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
ax.set_zlabel('$u_z$',
rotation=0,
fontsize=labelsize,
labelpad=labelpadz)
ax.tick_params(labelsize=ticksize)
ax.view_init(elevation, theta0 + (j - 1) * dtheta)
fig.tight_layout()
savefig(f'{FIG_DIR:s}{orbitbn:s}.png')
plt.close()
##############
# Write Data #
##############
#(pkpkAmpEk, relErrEk) = pktopkAmp(Ek)
AvgEk = sum(Ek[-NtsT:]) * dt / Period
dataFile = longbn + '.txt'
df = pd.DataFrame(columns=[
'runs_#', 'Bo', 'Re', 'alpha', 'w_f', 'NtsT', 'NT', 'w*', 'stdEk',
'AvgEk'
])
df = addRow(df, runs, Bo, Re, alpha, wf, NtsT, NT, wFFT, AEk, AvgEk)
with open(os.path.join(DAT_DIR, dataFile), 'w') as outfile:
df.to_csv(outfile, header=True, index=False, sep=' ')
outfile.close()
return None
def main():
f = sys.argv[1]
dtinput = sys.argv[2]
FIG_DIR = fig_dir()
DAT_DIR = f'dat/'
bn = os.path.basename(f)
tsbn = ts_basename(bn)
fftbn = fft_basename(tsbn)
orbitbn = orbit_basename(tsbn)
tokens = find_tokens(bn) # Get list of tokens in basename
try:
params = {token: parse_token(bn, token) for token in tokens}
for key in params.keys():
exec(f"{key:s} = '{params[key]:s}'", globals())
except Exception as ex:
print('Exception in parse token: ', ex)
if float(wf) > 0:
Period = 2 * np.pi / float(wf)
dt = Period / NtsT
Nsteps = float(NT * NtsT)
else:
Period = 1
print('wf not greater than 0. wf = ', wf) # COMPLETE THIS!
dt = float(dtinput)
title_string = bn.replace('_', ' ')
t, Ek, Eg, Ew, ur, uw, uz = np.loadtxt(f).T
os.makedirs(FIG_DIR, exist_ok=True)
#############
# Plot ffts #
#############
P = 100
M = int(len(Ek) * P / 100)
T = M * dt # Period ??
w0 = 2 * np.pi / T # Natural Frequency??
AEk = Ek[-M:].std() # Amplitud of Oscillation
fftEk = abs(fft(detrend(Ek[-M:]) *
blk(M))[:M // 2]) # FFT with Blackman filter [array]
wMEk = w0 * fftEk.argmax() # Compute dominant frequency
AEg = Eg[-M:].std() # Amplitud of Oscillation
fftEg = abs(fft(detrend(Eg[-M:]) *
blk(M))[:M // 2]) # FFT with Blackman filter [array]
wMEg = w0 * fftEg.argmax() # Compute dominant frequency
AEw = Ew[-M:].std() # Amplitud of Oscillation
fftEw = abs(fft(detrend(Ew[-M:]) *
blk(M))[:M // 2]) # FFT with Blackman filter [array]
wMEw = w0 * fftEw.argmax() # Compute dominant frequency
Aur = ur[-M:].std() # Amplitud of Oscillation
fftur = abs(fft(detrend(ur[-M:]) *
blk(M))[:M // 2]) # FFT with Blackman filter [array]
wMur = w0 * fftur.argmax() # Compute dominant frequency
Auw = uw[-M:].std() # Amplitud of Oscillation
fftuw = abs(fft(detrend(uw[-M:]) *
blk(M))[:M // 2]) # FFT with Blackman filter [array]
wMuw = w0 * fftuw.argmax() # Compute dominant frequency
Auz = uz[-M:].std() # Amplitud of Oscillation
fftuz = abs(fft(detrend(uz[-M:]) *
blk(M))[:M // 2]) # FFT with Blackman filter [array]
wMuz = w0 * fftuz.argmax() # Compute dominant frequency
wFFT = min([wMEk, wMEg, wMEw, wMur, wMuw, wMuz])
wLim = 2
AnotationSize = 15
xPosText = 0.25
yPosText = 0.92
ticksize = 12
labelsize = 18
labelpadx = 3
labelpady = 16
fig, axes = plt.subplots(nrows=2, ncols=3,
figsize=(14, 9)) # Create canvas & axes
## Global Kinetic Energy FFT
axes[0, 0].semilogy(w0 * np.arange(len(fftEk)), fftEk, 'k-')
axes[0, 0].annotate('$\omega^*$ = {:f}'.format(wMEk),
xy=(wMEk, fftEk.max()),
xycoords='data',
xytext=(xPosText, yPosText),
textcoords='axes fraction',
size=AnotationSize,
arrowprops=dict(arrowstyle="->"))
axes[0, 0].set_xlabel('$\omega$', fontsize=labelsize, labelpad=labelpadx)
axes[0, 0].set_ylabel('$|\hat{E}_k|$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[0, 0].set_xlim(0, wLim)
axes[0, 0].tick_params(labelsize=ticksize)
## Global Angular Momentum FFT
axes[0, 1].semilogy(w0 * np.arange(len(fftEw)), fftEw, 'k-')
axes[0, 1].annotate('$\omega^*$ = {:f}'.format(wMEw),
xy=(wMEw, fftEw.max()),
xycoords='data',
xytext=(xPosText, yPosText),
textcoords='axes fraction',
size=AnotationSize,
arrowprops=dict(arrowstyle="->"))
axes[0, 1].set_xlabel('$\omega$', fontsize=labelsize, labelpad=labelpadx)
axes[0, 1].set_ylabel('$|\hat{E}_w|$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[0, 1].set_xlim(0, wLim)
axes[0, 1].tick_params(labelsize=ticksize)
## Global Enstrophy FFT
axes[0, 2].semilogy(w0 * np.arange(len(fftEg)), fftEg, 'k-')
axes[0, 2].annotate('$\omega^*$ = {:f}'.format(wMEg),
xy=(wMEg, fftEk.max()),
xycoords='data',
xytext=(xPosText, yPosText),
textcoords='axes fraction',
size=AnotationSize,
arrowprops=dict(arrowstyle="->"))
axes[0, 2].set_xlabel('$\omega$', fontsize=labelsize, labelpad=labelpadx)
axes[0, 2].set_ylabel('$|\hat{E}_{\gamma}|$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[0, 2].set_xlim(0, wLim)
axes[0, 2].tick_params(labelsize=ticksize)
## Local Radial Velocity FFT
axes[1, 0].semilogy(w0 * np.arange(len(fftur)), fftur, 'k-')
axes[1, 0].annotate('$\omega^*$ = {:f}'.format(wMur),
xy=(wMur, fftur.max()),
xycoords='data',
xytext=(xPosText, yPosText),
textcoords='axes fraction',
size=AnotationSize,
arrowprops=dict(arrowstyle="->"))
axes[1, 0].set_xlabel('$\omega$', fontsize=labelsize, labelpad=labelpadx)
axes[1, 0].set_ylabel('$|\hat{u}_r|$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[1, 0].set_xlim(0, wLim)
axes[1, 0].tick_params(labelsize=ticksize)
## Local Azimuthal Velocity FFT
axes[1, 1].semilogy(w0 * np.arange(len(fftuw)), fftuw, 'k-')
axes[1, 1].annotate('$\omega^*$ = {:f}'.format(wMuw),
xy=(wMuw, fftuw.max()),
xycoords='data',
xytext=(xPosText, yPosText),
textcoords='axes fraction',
size=AnotationSize,
arrowprops=dict(arrowstyle="->"))
axes[1, 1].set_xlabel('$\omega$', fontsize=labelsize, labelpad=labelpadx)
axes[1, 1].set_ylabel(r'$|\hat{u}_{\theta}|$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[1, 1].set_xlim(0, wLim)
axes[1, 1].tick_params(labelsize=ticksize)
## Local Axial Velocity FFT
axes[1, 2].semilogy(w0 * np.arange(len(fftuz)), fftuz, 'k-')
axes[1, 2].annotate('$\omega^*$ = {:f}'.format(wMuz),
xy=(wMuz, fftuz.max()),
xycoords='data',
xytext=(xPosText, yPosText),
textcoords='axes fraction',
size=AnotationSize,
arrowprops=dict(arrowstyle="->"))
axes[1, 2].set_xlabel('$\omega$', fontsize=labelsize, labelpad=labelpadx)
axes[1, 2].set_ylabel('$|\hat{u}_z|$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[1, 2].set_xlim(0, wLim)
axes[1, 2].tick_params(labelsize=ticksize)
fig.tight_layout()
savefig(f'{FIG_DIR:s}{fftbn:s}.png')
plt.close()
####################
# Plot time series #
####################
P = 5 # last P% of the time series
Nperiods = 4
if float(wf) > 0:
M = int(Nperiods * NtsT)
# else: COMPLETE THIS PART
# if wFFT == 0:
# M = int(len(t)*P/100)
# else:
# TUmin = Nperiods*2*np.pi/wFFT
# M = ceil(TUmin/dt)
ticksize = 12
labelsize = 18
labelpadx = 3
labelpady = 10
w = 1 + float(Ro) * np.cos(float(wf) * t[-M:])
fig, axes = plt.subplots(nrows=2, ncols=3,
figsize=(14, 9)) # Create canvas & axes
## Global Kinetic Energy Time Series
axes[0, 0].plot(t[-M:] / Period, Ek[-M:], 'r-')
axes[0, 0].set_xlabel('$t/T_f$', fontsize=labelsize, labelpad=labelpadx)
axes[0, 0].set_ylabel('$E_k$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[0, 0].tick_params(labelsize=ticksize)
ax2 = axes[0, 0].twinx()
ax2.plot(t[-M:] / Period, w, color='tab:blue')
ax2.set_ylabel('$\omega$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
ax2.tick_params(labelsize=ticksize)
## Global Angular Momentum Time Series
axes[0, 1].plot(t[-M:] / Period, Ew[-M:], 'r-')
axes[0, 1].set_xlabel('$t/T_f$', fontsize=labelsize, labelpad=labelpadx)
axes[0, 1].set_ylabel('$E_{\omega}$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[0, 1].tick_params(labelsize=ticksize)
ax2 = axes[0, 1].twinx()
ax2.plot(t[-M:] / Period, w, color='tab:blue')
ax2.set_ylabel('$\omega$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
ax2.tick_params(labelsize=ticksize)
## Global Enstrophy Time Series
axes[0, 2].plot(t[-M:] / Period, Eg[-M:], 'r-')
axes[0, 2].set_xlabel('$t/T_f$', fontsize=labelsize, labelpad=labelpadx)
axes[0, 2].set_ylabel('$E_{\gamma}$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[0, 2].tick_params(labelsize=ticksize)
ax2 = axes[0, 2].twinx()
ax2.plot(t[-M:] / Period, w, color='tab:blue')
ax2.set_ylabel('$\omega$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
ax2.tick_params(labelsize=ticksize)
## Local Radial Velocity Time Series
axes[1, 0].plot(t[-M:] / Period, ur[-M:], 'r-')
axes[1, 0].set_xlabel('$t/T_f$', fontsize=labelsize, labelpad=labelpadx)
axes[1, 0].set_ylabel('$u_r$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[1, 0].tick_params(labelsize=ticksize)
ax2 = axes[1, 0].twinx()
ax2.plot(t[-M:] / Period, w, color='tab:blue')
ax2.set_ylabel('$\omega$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
ax2.tick_params(labelsize=ticksize)
## Local Azimuthal Velocity Time Series
axes[1, 1].plot(t[-M:] / Period, uw[-M:], 'r-')
axes[1, 1].set_xlabel('$t/T_f$', fontsize=labelsize, labelpad=labelpadx)
axes[1, 1].set_ylabel(r'$u_{\theta}$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[1, 1].tick_params(labelsize=ticksize)
ax2 = axes[1, 1].twinx()
ax2.plot(t[-M:] / Period, w, color='tab:blue')
ax2.set_ylabel('$\omega$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
ax2.tick_params(labelsize=ticksize)
## Local Axial Velocity Time Series
axes[1, 2].plot(t[-M:] / Period, uz[-M:], 'r-')
axes[1, 2].set_xlabel('$t/T_f$', fontsize=labelsize, labelpad=labelpadx)
axes[1, 2].set_ylabel('$u_z$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
axes[1, 2].tick_params(labelsize=ticksize)
ax2 = axes[1, 2].twinx()
ax2.plot(t[-M:] / Period, w, color='tab:blue')
ax2.set_ylabel('$\omega$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
ax2.tick_params(labelsize=ticksize)
fig.tight_layout()
fig.savefig(f'{FIG_DIR:s}{tsbn:s}.png')
plt.close()
#####################
# Plot phase orbits #
#####################
elevation = 30
theta0 = 10
dtheta = 35
ticksize = 0.1
labelsize = 16
labelpadx = 0
labelpady = 0
labelpadz = 0
fig = plt.figure(figsize=(14, 10)) # Create canvas
## Plot Global Orbit
for j in range(1, 4):
ax = fig.add_subplot(2, 3, j, projection='3d')
ax.xaxis.set_rotate_label(False) # disable automatic rotation
ax.yaxis.set_rotate_label(False) # disable automatic rotation
ax.zaxis.set_rotate_label(False) # disable automatic rotation
ax.plot(Eg, Ew, Ek, 'g-')
ax.set_xlabel('$E_{\gamma}$', fontsize=labelsize, labelpad=labelpadx)
ax.set_ylabel('$E_{\omega}$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
ax.set_zlabel('$E_k$',
rotation=0,
fontsize=labelsize,
labelpad=labelpadz)
ax.tick_params(labelsize=ticksize)
ax.view_init(elevation, theta0 + (j - 1) * dtheta)
## Plot Local Orbit
for j in range(1, 4):
ax = fig.add_subplot(2, 3, j + 3, projection='3d')
ax.xaxis.set_rotate_label(False) # disable automatic rotation
ax.yaxis.set_rotate_label(False) # disable automatic rotation
ax.zaxis.set_rotate_label(False) # disable automatic rotation
ax.plot(ur, uw, uz, 'b-')
ax.set_xlabel('$u_r$', fontsize=labelsize, labelpad=labelpadx)
ax.set_ylabel(r'$u_{\theta}$',
rotation=0,
fontsize=labelsize,
labelpad=labelpady)
ax.set_zlabel('$u_z$',
rotation=0,
fontsize=labelsize,
labelpad=labelpadz)
ax.tick_params(labelsize=ticksize)
ax.view_init(elevation, theta0 + (j - 1) * dtheta)
fig.tight_layout()
savefig(f'{FIG_DIR:s}{orbitbn:s}.png')
plt.close()
return None