def test_shockwave_Ps():
assert sw.Ps_ratio(1.) == 1.
assert sw.Ps_ratio(1.1) == pytest.approx(1.245)
assert sw.Ps_ratio(2.) == pytest.approx(4.5)
assert sw.Ps_ratio(1., gamma=1.3) == 1.
assert sw.Ps_ratio(1.1, gamma=1.3) == pytest.approx(1.2373913043478264)
assert sw.Ps_ratio(2., gamma=1.3) == pytest.approx(4.391304347826088)
def _rankinehugoniot_from_ushock(self, ushock): """ returns Rankine-Hugoniot state, given a shock velocity ..warning:: this function is made private because there is no test about upstream/downstream consistency nor the right ushock range (greater than u+a or lesser than u-a """ loc_Mn = (self.u-ushock)/self.asound() # this Mach number is signed rho_ratio = sw.Rho_ratio(loc_Mn, self._gamma) return unsteady_state(self.rho * rho_ratio, ushock + (self.u-ushock)/rho_ratio, self.p * sw.Ps_ratio(loc_Mn, self._gamma), gamma=self._gamma)
def test_Mn_Ps():
assert sw.Ps_ratio(2.) == pytest.approx(4.5)
assert sw.Mn_Ps_ratio(sw.Ps_ratio(3.)) == pytest.approx(3.)
def plot_theta_pressure(mach,
gamma=defg._gamma,
npts=100,
thet_init=0.,
p_init=1.,
curve='both',
devmax=False,
sonic=False,
color='k',
linestyle='-',
ax=plt,
**kwargs):
"""
Plot shock polar curve in deviation / pressure ratio axes
Long comment
:param mach: upstream Mach number
:param gamma: specific heat ratio, default from aerokit.common.defaultgas
:param npts: number of computed points, curve accuracy
:param thet_init: upstream angle (shift the curve by this angle), default 0.
:param p_init: reference pressure (shift the curve by this ratio), default 1.
:param curve: choose which curve to plot (left, right or both)
:return:
:Example:
.. seealso::
.. note::
"""
sig = np.linspace(deg.asin(1. / mach), 90., npts + 1)
dev = sw.deflection_Mach_sigma(mach, sig, gamma)
ps = p_init * sw.Ps_ratio(
mach * deg.sin(sig),
gamma) # pressure ratio only depends on normal Mach number
if curve in ['right', 'both']:
ax.plot(thet_init + dev,
ps,
color=color,
linestyle=linestyle,
**kwargs)
if curve in ['left', 'both']:
ax.plot(thet_init - dev,
ps,
color=color,
linestyle=linestyle,
**kwargs)
if devmax:
thet = sw.dev_Max(mach, gamma=gamma)
sig = sw.sigma_DevMax(mach, gamma=gamma)
ps = sw.Ps_ratio(mach * deg.sin(sig), gamma=gamma)
if curve in ['right', 'both']:
ax.plot(thet_init + thet, p_init * ps, 'ro', alpha=0.9)
if curve in ['left', 'both']:
ax.plot(thet_init - thet, p_init * ps, 'ro', alpha=0.9)
if sonic:
thet = sw.dev_Sonic(mach, gamma=gamma)
sig = sw.sigma_Sonic(mach, gamma=gamma)
ps = sw.Ps_ratio(mach * deg.sin(sig), gamma=gamma)
if curve in ['right', 'both']:
ax.plot(thet_init + thet,
p_init * ps,
'ko',
markerfacecolor='white')
if curve in ['left', 'both']:
ax.plot(thet_init - thet,
p_init * ps,
'ko',
markerfacecolor='white')
fsol = solver.solve(finit, cfl, stop={"maxit": nit_super}, monitors=monitors)
fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(14, 4))
monitors["residual"]["output"].semilogplot_it(ax=ax1)
fsol[-1].plot('mach', style='-', axes=ax2)
fsol[-1].plot('ptot', style='-', axes=ax3)
finit.plot('mach', style='--', axes=ax2)
finit.plot('ptot', style='--', axes=ax3)
fig.show()
# if verbose: solver.show_perf()
res["init_residual"] = monitors["residual"]["output"]._value[-1]
res["init_M9"] = fsol[-1].phydata("mach")[-1]
# RESTART
bcR = {"type": bctype, "p": 1.1 * sw.Ps_ratio(Msup, gam)}
rhs = modeldisc.fvm(model, meshsim, muscl(vanleer), bcL=bcL, bcR=bcR)
solver = rk3ssp(meshsim, rhs)
try:
fsol = solver.solve(fsol[-1],
cfl,
stop={"maxit": nit_tot},
monitors=monitors)
solver.show_perf()
res["simu_residual"] = monitors["residual"]["output"]._value[-1]
res["simu_M9"] = fsol[-1].phydata("mach")[-1]
# if verbose: print(res)
except Exception:
res["simu_residual"] = 1.0e9
res["simu_M9"] = 0.0