def test_reactive_state():
"""
Reactive EOS.
"""
eos = eos_defns.eos_gamma_law(5.0 / 3.0)
eos_reactive = eos_defns.eos_gamma_law_react(5.0 / 3.0, 1.0, 1.0, 1.0, eos)
U = State(1.0, 0.0, 0.0, 1.5, eos_reactive, label="Test")
string = r"\begin{pmatrix} \rho \\ v_x \\ v_t \\ \epsilon \\ q \end{pmatrix}_{Test}"
string += r" = \begin{pmatrix} 1.0000 \\ 0.0000 \\ 0.0000 \\ 1.5000 \\ 1.0000 \end{pmatrix}"
assert U.latex_string() == string
def test_reactive_state():
"""
Reactive EOS.
"""
eos = eos_defns.eos_gamma_law(5.0/3.0)
eos_reactive = eos_defns.eos_gamma_law_react(5.0/3.0, 1.0, 1.0, 1.0, eos)
U = State(1.0, 0.0, 0.0, 1.5, eos_reactive, label="Test")
string = r"\begin{pmatrix} \rho \\ v_x \\ v_t \\ \epsilon \\ q \end{pmatrix}_{Test}"
string += r" = \begin{pmatrix} 1.0000 \\ 0.0000 \\ 0.0000 \\ 1.5000 \\ 1.0000 \end{pmatrix}"
assert U.latex_string() == string
def test_detonation_wave():
"""
A single detonation wave
"""
eos = eos_defns.eos_gamma_law(5.0/3.0)
eos_reactive = eos_defns.eos_gamma_law_react(5.0/3.0, 0.1, 1.0, 1.0, eos)
U_reactive = State(5.0, 0.0, 0.0, 2.0, eos_reactive)
U_burnt = State(8.113665227084942, -0.34940431910454606, 0.0,
2.7730993786742353, eos)
rp = RiemannProblem(U_reactive, U_burnt)
assert(rp.waves[2].wave_sections[0].trivial)
assert_allclose(rp.waves[0].wavespeed, -0.82680400067536064)
def test_detonation_wave():
"""
A single detonation wave
"""
eos = eos_defns.eos_gamma_law(5.0 / 3.0)
eos_reactive = eos_defns.eos_gamma_law_react(5.0 / 3.0, 0.1, 1.0, 1.0, eos)
U_reactive = State(5.0, 0.0, 0.0, 2.0, eos_reactive)
U_burnt = State(8.113665227084942, -0.34940431910454606, 0.0,
2.7730993786742353, eos)
rp = RiemannProblem(U_reactive, U_burnt)
assert (rp.waves[2].wave_sections[0].trivial)
assert_allclose(rp.waves[0].wavespeed, -0.82680400067536064)
def test_deflagration_wave():
"""
A single deflagration wave
"""
eos = eos_defns.eos_gamma_law(5.0/3.0)
eos_reactive = eos_defns.eos_gamma_law_react(5.0/3.0, 0.1, 1.0, 1.0, eos)
U_reactive = State(5.0, 0.0, 0.0, 2.0, eos_reactive)
U_burnt = State(0.10089486779791534, 0.97346270073482888, 0.0,
0.14866950243842186, eos)
rp = RiemannProblem(U_reactive, U_burnt)
assert(rp.waves[2].wave_sections[0].trivial)
wavespeed_deflagration = [-0.60970641412658788, 0.94395720523915128]
assert_allclose(rp.waves[0].wavespeed, wavespeed_deflagration)
def test_deflagration_wave():
"""
A single deflagration wave
"""
eos = eos_defns.eos_gamma_law(5.0 / 3.0)
eos_reactive = eos_defns.eos_gamma_law_react(5.0 / 3.0, 0.1, 1.0, 1.0, eos)
U_reactive = State(5.0, 0.0, 0.0, 2.0, eos_reactive)
U_burnt = State(0.10089486779791534, 0.97346270073482888, 0.0,
0.14866950243842186, eos)
rp = RiemannProblem(U_reactive, U_burnt)
assert (rp.waves[2].wave_sections[0].trivial)
wavespeed_deflagration = [-0.60970641412658788, 0.94395720523915128]
assert_allclose(rp.waves[0].wavespeed, wavespeed_deflagration)
def test_eos_gamma_law_react():
eos_inert = eos_defns.eos_gamma_law(5.0/3.0)
eos = eos_defns.eos_gamma_law_react(5.0/3.0, 0.5, 1.0, 10.0, eos_inert)
rho = 1.0
eps = 1.0
p_true = 1.0 / 3.0
h_true = 7.0 / 3.0
cs_true = numpy.sqrt(5.0 / 21.0)
t_true = 0.5
p = eos['p_from_rho_eps'](rho, eps)
h = eos['h_from_rho_eps'](rho, eps)
cs = eos['cs_from_rho_eps'](rho, eps)
t = eos['t_from_rho_eps'](rho, eps)
assert_allclose([p, h, cs, t], [p_true, h_true, cs_true, t_true], rtol=1.e-8)
def test_eos_gamma_law_react():
eos_inert = eos_defns.eos_gamma_law(5.0 / 3.0)
eos = eos_defns.eos_gamma_law_react(5.0 / 3.0, 0.5, 1.0, 10.0, eos_inert)
rho = 1.0
eps = 1.0
p_true = 1.0 / 3.0
h_true = 7.0 / 3.0
cs_true = numpy.sqrt(5.0 / 21.0)
t_true = 0.5
p = eos['p_from_rho_eps'](rho, eps)
h = eos['h_from_rho_eps'](rho, eps)
cs = eos['cs_from_rho_eps'](rho, eps)
t = eos['t_from_rho_eps'](rho, eps)
assert_allclose([p, h, cs, t], [p_true, h_true, cs_true, t_true],
rtol=1.e-8)
def test_cj_detonation_wave():
"""
A single CJ detonation wave
"""
eos = eos_defns.eos_gamma_law(5.0/3.0)
eos_reactive = eos_defns.eos_gamma_law_react(5.0/3.0, 0.1, 1.0, 1.0, eos)
U_reactive = State(5.0, 0.0, 0.0, 2.0, eos_reactive)
U_burnt = State(5.1558523350586452, -0.031145176327346744, 0.0,
2.0365206985013153, eos)
rp = RiemannProblem(U_reactive, U_burnt)
assert(rp.waves[0].wave_sections[0].name == r"{\cal CJDT}_{\leftarrow}")
assert(rp.waves[0].wave_sections[1].name == r"{\cal R}_{\leftarrow}")
assert(rp.waves[2].wave_sections[0].trivial)
wavespeed_cj_detonation = [-0.79738216287617047, -0.73237792243759536]
assert_allclose(rp.waves[0].wavespeed, wavespeed_cj_detonation)
def test_cj_detonation_wave():
"""
A single CJ detonation wave
"""
eos = eos_defns.eos_gamma_law(5.0 / 3.0)
eos_reactive = eos_defns.eos_gamma_law_react(5.0 / 3.0, 0.1, 1.0, 1.0, eos)
U_reactive = State(5.0, 0.0, 0.0, 2.0, eos_reactive)
U_burnt = State(5.1558523350586452, -0.031145176327346744, 0.0,
2.0365206985013153, eos)
rp = RiemannProblem(U_reactive, U_burnt)
assert (rp.waves[0].wave_sections[0].name == r"{\cal CJDT}_{\leftarrow}")
assert (rp.waves[0].wave_sections[1].name == r"{\cal R}_{\leftarrow}")
assert (rp.waves[2].wave_sections[0].trivial)
wavespeed_cj_detonation = [-0.79738216287617047, -0.73237792243759536]
assert_allclose(rp.waves[0].wavespeed, wavespeed_cj_detonation)
def test_precursor_deflagration_wave():
"""
A single deflagration wave with precursor shock
"""
eos = eos_defns.eos_gamma_law(5.0/3.0)
eos_reactive = eos_defns.eos_gamma_law_react(5.0/3.0, 0.1, 1.0, 1.0, eos)
U_reactive = State(0.5, 0.0, 0.0, 1.0, eos_reactive)
U_burnt = State(0.24316548798524526, 0.39922932397353039, 0.0,
0.61686385086179807, eos)
rp = RiemannProblem(U_reactive, U_burnt)
assert(rp.waves[0].wave_sections[0].name == r"{\cal S}_{\leftarrow}")
assert(rp.waves[0].wave_sections[1].name == r"{\cal CJDF}_{\leftarrow}")
assert(rp.waves[0].wave_sections[2].name == r"{\cal R}_{\leftarrow}")
assert(rp.waves[2].wave_sections[0].trivial)
wavespeed_deflagration = [-0.65807776007359042, -0.23714630045322399]
assert_allclose(rp.waves[0].wavespeed, wavespeed_deflagration)
def test_precursor_deflagration_wave():
"""
A single deflagration wave with precursor shock
"""
eos = eos_defns.eos_gamma_law(5.0 / 3.0)
eos_reactive = eos_defns.eos_gamma_law_react(5.0 / 3.0, 0.1, 1.0, 1.0, eos)
U_reactive = State(0.5, 0.0, 0.0, 1.0, eos_reactive)
U_burnt = State(0.24316548798524526, 0.39922932397353039, 0.0,
0.61686385086179807, eos)
rp = RiemannProblem(U_reactive, U_burnt)
assert (rp.waves[0].wave_sections[0].name == r"{\cal S}_{\leftarrow}")
assert (rp.waves[0].wave_sections[1].name == r"{\cal CJDF}_{\leftarrow}")
assert (rp.waves[0].wave_sections[2].name == r"{\cal R}_{\leftarrow}")
assert (rp.waves[2].wave_sections[0].trivial)
wavespeed_deflagration = [-0.65807776007359042, -0.23714630045322399]
assert_allclose(rp.waves[0].wavespeed, wavespeed_deflagration)
def make_flat_patterns(U_l, U_r, vts, vt_side):
"""
Save some code repetition. Given reactive and burnt states, produces a list of lists of wave patterns for a given list of tangential velocities.
"""
eos_l = eos_defns.eos_gamma_law(5.0 / 3.0)
eos_r = eos_defns.eos_gamma_law_react(5.0 / 3.0, 0.1, 1.0, 1.0, eos_l)
wave_patterns = []
if vt_side == 'l':
rho_l = U_l.rho
v_l = U_l.v
eps_l = U_l.eps
eos_l = U_l.eos
else:
rho_r = U_r.rho
v_r = U_r.v
eps_r = U_r.eps
eos_r = U_r.eos
for vt in vts:
# first change the vt
if vt_side == 'l':
U_l = State(rho_l, v_l, vt, eps_l, eos_l)
U_r = State(rho_r, v_r, 0.0, eps_r, eos_r)
else:
U_r = State(rho_r, v_r, vt, eps_r, eos_r)
rp = RiemannProblem(U_l, U_r)
wave_patterns.append(rp.waves)
# now check if all the wave patterns are the same
# flatten patterns
flat_patterns = []
for i, p in enumerate(wave_patterns):
flat_patterns.append([])
for w in p:
for s in w.wave_sections:
if not s.trivial:
flat_patterns[i].append(s.type)
return flat_patterns
def make_flat_patterns(U_l, U_r, vts, vt_side):
"""
Save some code repetition. Given reactive and burnt states, produces a list of lists of wave patterns for a given list of tangential velocities.
"""
eos_l = eos_defns.eos_gamma_law(5.0/3.0)
eos_r = eos_defns.eos_gamma_law_react(5.0/3.0, 0.1, 1.0, 1.0, eos_l)
wave_patterns = []
if vt_side == 'l':
rho_l = U_l.rho
v_l = U_l.v
eps_l = U_l.eps
eos_l = U_l.eos
else:
rho_r = U_r.rho
v_r = U_r.v
eps_r = U_r.eps
eos_r = U_r.eos
for vt in vts:
# first change the vt
if vt_side == 'l':
U_l = State(rho_l, v_l, vt, eps_l, eos_l)
U_r = State(rho_r, v_r, 0.0, eps_r, eos_r)
else:
U_r = State(rho_r, v_r, vt, eps_r, eos_r)
rp = RiemannProblem(U_l, U_r)
wave_patterns.append(rp.waves)
# now check if all the wave patterns are the same
# flatten patterns
flat_patterns = []
for i, p in enumerate(wave_patterns):
flat_patterns.append([])
for w in p:
for s in w.wave_sections:
if not s.trivial:
flat_patterns[i].append(s.type)
return flat_patterns
critical_patterns.append(pattern)
if len(critical_vts) == 1:
print('There is one critical tangential velocity ')
else:
print('There are {} critical tangential velocities '.format(
len(critical_vts)))
for i, v in enumerate(critical_vts):
print('vt: {}, patterns: {} -> {}'.format(
v, ', '.join(critical_patterns[i][0]),
', '.join(critical_patterns[i][1])))
if __name__ == "__main__":
eos = eos_defns.eos_gamma_law(5.0 / 3.0)
eos_reactive = eos_defns.eos_gamma_law_react(5.0 / 3.0, 0.1, 1.0, 1.0, eos)
#U_reactive = State(5.0, 0.0, 0.0, 2.0, eos_reactive)
# detonation wave
#U_burnt = State(8.113665227084942, -0.34940431910454606, 0.0,
# 2.7730993786742353, eos)
# cj detonation wave
#U_burnt = State(5.1558523350586452, -0.031145176327346744, 0.0,
# 2.0365206985013153, eos)
# deflagration
#U_burnt = State(0.10089486779791534, 0.97346270073482888, 0.0,
# 0.14866950243842186, eos)
# deflagration with precursor shock
#U_burnt = State(0.24316548798524526, 0.39922932397353039, 0.0,
# 0.61686385086179807, eos)
# FIXME: there is a really weird bug where this breaks if U_r has a
for i in range(len(vts) - 1):
if not flat_patterns[i] == flat_patterns[i+1]:
vt, pattern = bisect(vts[i], vts[i+1])
critical_vts.append(vt)
critical_patterns.append(pattern)
if len(critical_vts) == 1:
print('There is one critical tangential velocity ')
else:
print('There are {} critical tangential velocities '.format(len(critical_vts)))
for i, v in enumerate(critical_vts):
print('vt: {}, patterns: {} -> {}'.format(v, ', '.join(critical_patterns[i][0]), ', '.join(critical_patterns[i][1])))
if __name__ == "__main__":
eos = eos_defns.eos_gamma_law(5.0/3.0)
eos_reactive = eos_defns.eos_gamma_law_react(5.0/3.0, 0.1, 1.0, 1.0, eos)
#U_reactive = State(5.0, 0.0, 0.0, 2.0, eos_reactive)
# detonation wave
#U_burnt = State(8.113665227084942, -0.34940431910454606, 0.0,
# 2.7730993786742353, eos)
# cj detonation wave
#U_burnt = State(5.1558523350586452, -0.031145176327346744, 0.0,
# 2.0365206985013153, eos)
# deflagration
#U_burnt = State(0.10089486779791534, 0.97346270073482888, 0.0,
# 0.14866950243842186, eos)
# deflagration with precursor shock
#U_burnt = State(0.24316548798524526, 0.39922932397353039, 0.0,
# 0.61686385086179807, eos)
# FIXME: there is a really weird bug where this breaks if U_r has a