rcParams['image.interpolation'] = 'none'
rcParams['image.origin'] = 'lower'
rcParams['contour.negative_linestyle'] = 'solid'
#rcParams['savefig.bbox'] = 'tight'
# Math/LaTex fonts:
# http://matplotlib.org/users/mathtext.html
# http://matplotlib.org/users/usetex.html
# Example: xlabel(r'$t \cdot l / V_{A,bc}$')
rcParams[
'mathtext.default'] = 'regular' # match the font used for regular text
NT = 100
Ey_tx = numpy.zeros((NT + 1, 64 * 3), numpy.float)
for i in range(NT + 1):
dg1 = gkedgbasis.GkeDgLobatto1DPolyOrder2Basis(
gkedata.GkeData("t1-plasma-beach_em_%d.h5" % i))
X, Ey = dg1.project(1)
Ey_tx[i, :] = Ey
dx = 1 / 400.0
T = pylab.linspace(0, 5e-9, NT + 1)
TT, XX = pylab.meshgrid(T, X)
# compute cutoff location
dx100 = 1 / 100.
deltaT = dx100 / 2.99792458e8
driveOmega = 3.14159265358979323846264338328 / 10 / deltaT
xcutoff = 1 - math.pow(driveOmega / 25 * deltaT, 1 / 5.0)
pylab.pcolormesh(TT, XX, Ey_tx.transpose())
pylab.plot([0, 5e-9], [xcutoff, xcutoff], 'k--', linewidth=2)
cnt = Counter()
def getXv(Xc, Vc):
dx = (Xc[0, -1] - Xc[0, 0]) / (Xc.shape[1] - 1)
dv = (Vc[-1, 0] - Vc[0, 0]) / (Vc.shape[0] - 1)
X1 = linspace(Xc[0, 0] + 0.5 * dx, Xc[0, -1] - 0.5 * dx, Xc.shape[1] - 1)
V1 = linspace(Vc[0, 0] + 0.5 * dv, Vc[-1, 0] - 0.5 * dv, Vc.shape[0] - 1)
return X1, V1
# density
d = gkedata.GkeData("s6-1x3v-mom_numDensity.h5")
dg1Num = gkedgbasis.GkeDgLobatto1DPolyOrder2Basis(d)
Xc, num = dg1Num.project(0)
Xhr = linspace(Xc[0], Xc[-1], 200) # for plotting
n = sin(2 * pi * Xhr)
ux = 0.1 * cos(2 * pi * Xhr)
uy = 0.2 * sin(2 * pi * Xhr)
uz = 0.1 * cos(2 * pi * Xhr)
Txx = 0.75 + 0.25 * cos(2 * pi * Xhr)
Tyy = 0.75 + 0.25 * sin(2 * pi * Xhr)
Tzz = 0.75 + 0.1 * sin(2 * pi * Xhr)
Txy = 0.5 + 0.1 * sin(2 * pi * Xhr)
Txz = 0.25 + 0.1 * sin(2 * pi * Xhr)
Tyz = 0.125 + 0.1 * sin(2 * pi * Xhr)
# Math/LaTex fonts:
# http://matplotlib.org/users/mathtext.html
# http://matplotlib.org/users/usetex.html
# Example: xlabel(r'$t \cdot l / V_{A,bc}$')
rcParams[
'mathtext.default'] = 'regular' # match the font used for regular text
def IE(n, nu, E):
return 0.5 * (E - nu**2 / n)
# density plot
d = gkedata.GkeData("../s5/s5-bgk-boltz_numDensity_5.h5")
dg1 = gkedgbasis.GkeDgLobatto1DPolyOrder2Basis(d)
Xc, n2 = dg1.project(0)
d = gkedata.GkeData("../s6/s6-bgk-boltz_numDensity_5.h5")
dg1 = gkedgbasis.GkeDgLobatto1DPolyOrder2Basis(d)
Xc, n3 = dg1.project(0)
nEul = loadtxt("../m2/m2-euler-shock-exact-density.txt")
figure(1)
plot(Xc, n2, '-r', label='Kn=1/100')
plot(Xc, n3, '-b', label='Kn=1/1000')
plot(nEul[:, 0], nEul[:, 1], 'k--')
xlabel('X')
ylabel('Density')
legend(loc='best')
f1d = exp(-75 * (X - 0.5)**2)
# Lagrange 1D, lobatto polyOrder 1
d = gkedata.GkeData("test1D_lag-1D-p1.h5")
L1d_p1 = gkedgbasis.GkeDgLobatto1DPolyOrder1Basis(d)
Xc, c0 = L1d_p1.project(0)
figure(1)
plot(Xc, c0, 'k-')
plot(X, f1d, 'r-')
title('Lagrange 1D, lobatto polyOrder 1')
savefig('L1d_p1.png')
# Lagrange 1D, lobatto polyOrder 2
d = gkedata.GkeData("test1D_lag-1D-p2.h5")
L1d_p2 = gkedgbasis.GkeDgLobatto1DPolyOrder2Basis(d)
Xc, c0 = L1d_p2.project(0)
figure(2)
plot(Xc, c0, 'k-')
plot(X, f1d, 'r-')
title('Lagrange 1D, lobatto polyOrder 2')
savefig('L1d_p2.png')
# Lagrange 1D, lobatto polyOrder 3
d = gkedata.GkeData("test1D_lag-1D-p3.h5")
L1d_p3 = gkedgbasis.GkeDgLobatto1DPolyOrder3Basis(d)
Xc, c0 = L1d_p3.project(0)
figure(3)
plot(Xc, c0, 'k-')