exaparty.api.sphtools.riemann.RiemannSolver Class Reference

Exact Riemann solver. More...

Public Member Functions
	__init__ (self, gamma)
	Constructor.
	get_soundspeed (self, rho, P)
	Get the soundspeed corresponding to the given density and pressure.
	fb (self, rho, P, a, Pstar)
	Riemann fL or fR function.
	f (self, rhoL, uL, PL, aL, rhoR, uR, PR, aR, Pstar)
	Riemann f function.
	fprimeb (self, rho, P, a, Pstar)
	Derivative of the Riemann fL or fR function.
	fprime (self, rhoL, PL, aL, rhoR, PR, aR, Pstar)
	Derivative of the Riemann f function.
	gb (self, rho, P, Pstar)
	Riemann gL or gR function.
	guess_P (self, rhoL, uL, PL, aL, rhoR, uR, PR, aR)
	Get an initial guess for the pressure in the middle state.
	solve_brent (self, rhoL, uL, PL, aL, rhoR, uR, PR, aR, Plow, Phigh)
	Find the pressure of the middle state by using Brent's method.
	sample_right_shock_wave (self, rhoR, uR, PR, aR, ustar, Pstar, dxdt=np.array([0.0]))
	Sample the Riemann problem solution for a position in the right shock wave regime.
	sample_right_rarefaction_wave (self, rhoR, uR, PR, aR, ustar, Pstar, dxdt=np.array([0.0]))
	Sample the Riemann problem solution for a position in the right rarefaction wave regime.
	sample_right_state (self, rhoR, uR, PR, aR, ustar, Pstar, dxdt=np.array([0.0]))
	Sample the Riemann problem solution in the right state regime.
	sample_left_shock_wave (self, rhoL, uL, PL, aL, ustar, Pstar, dxdt=np.array([0.0]))
	Sample the Riemann problem solution for a position in the left shock wave regime.
	sample_left_rarefaction_wave (self, rhoL, uL, PL, aL, ustar, Pstar, dxdt=np.array([0.0]))
	Sample the Riemann problem solution for a position in the left rarefaction wave regime.
	sample_left_state (self, rhoL, uL, PL, aL, ustar, Pstar, dxdt=np.array([0.0]))
	Sample the Riemann problem solution in the left state regime.
	sample_right_vacuum (self, rhoL, uL, PL, aL, dxdt=np.array([0.0]))
	Sample the vacuum Riemann problem if the right state is a vacuum.
	sample_left_vacuum (self, rhoR, uR, PR, aR, dxdt=np.array([0.0]))
	Sample the vacuum Riemann problem if the left state is a vacuum.
	sample_vacuum_generation (self, rhoL, uL, PL, aL, rhoR, uR, PR, aR, dxdt)
	Sample the vacuum Riemann problem in the case vacuum is generated in between the left and right state.
	solve_vacuum (self, rhoL, uL, PL, aL, rhoR, uR, PR, aR, dxdt=np.array([0.0]))
	Vacuum Riemann solver.
	solve (self, rhoL, uL, PL, rhoR, uR, PR, dxdt=np.array([0.0]))
	Solve the Riemann problem with the given left and right state.
	solve_middle_state (self, rhoL, uL, PL, rhoR, uR, PR)
	Solve the Riemann problem with the given left and right state for the velocity and pressure (but do not sample the solution).

Protected Attributes
	_gamma
	_gp1d2g
	related quantities: gamma plus 1 divided by 2 gamma
	_gm1d2g
	_gm1dgp1
	_tdgp1
	_tdgm1
	_gm1d2
	_tgdgm1
	_ginv

Detailed Description

Exact Riemann solver.

Definition at line 37 of file riemann.py.

Constructor & Destructor Documentation

__init__()

exaparty.api.sphtools.riemann.RiemannSolver.__init__	(		self,
			gamma
	)

Constructor.

Parameters

gamma

Adiabatic index \(\gamma{}\).

Definition at line 42 of file riemann.py.

Member Function Documentation

f()

exaparty.api.sphtools.riemann.RiemannSolver.f	(		self,
			rhoL,
			uL,
			PL,
			aL,
			rhoR,
			uR,
			PR,
			aR,
			Pstar
	)

Riemann f function.

Parameters

rhoL	Density of the left state.
uL	Velocity of the left state.
PL	Pressure of the left state.
aL	Soundspeed of the left state.
rhoR	Density of the right state.
uR	Velocity of the right state.
PR	Pressure of the right state.
aR	Soundspeed of the right state.
Pstar	(Temporary) pressure of the middle state.

Returns

Value of the Riemann f function.

Definition at line 105 of file riemann.py.

References exaparty.api.sphtools.riemann.RiemannSolver.fb().

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.solve(), exaparty.api.sphtools.riemann.RiemannSolver.solve_brent(), and exaparty.api.sphtools.riemann.RiemannSolver.solve_middle_state().

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fb()

exaparty.api.sphtools.riemann.RiemannSolver.fb	(		self,
			rho,
			P,
			a,
			Pstar
	)

Riemann fL or fR function.

Parameters

rho	Density of the left or right state.
P	Pressure of the left or right state.
a	Soundspeed of the left or right state.
Pstar	(Temporary) pressure of the middle state.

Returns

Value of the fL or fR function.

Definition at line 86 of file riemann.py.

References exaparty.api.sphtools.riemann.RiemannSolver._gm1d2g, exaparty.api.sphtools.riemann.RiemannSolver._gm1dgp1, exaparty.api.sphtools.riemann.RiemannSolver._tdgm1, and exaparty.api.sphtools.riemann.RiemannSolver._tdgp1.

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.f(), exaparty.api.sphtools.riemann.RiemannSolver.solve(), and exaparty.api.sphtools.riemann.RiemannSolver.solve_middle_state().

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fprime()

exaparty.api.sphtools.riemann.RiemannSolver.fprime	(		self,
			rhoL,
			PL,
			aL,
			rhoR,
			PR,
			aR,
			Pstar
	)

Derivative of the Riemann f function.

Parameters

rhoL	Density of the left state.
PL	Pressure of the left state.
aL	Soundspeed of the left state.
rhoR	Density of the right state.
PR	Pressure of the right state.
aR	Soundspeed of the right state.
Pstar	(Temporary) pressure of the middle state.

Returns

Value of the derivative of the Riemann f function.

Definition at line 141 of file riemann.py.

References exaparty.api.sphtools.riemann.RiemannSolver.fprimeb().

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.solve(), and exaparty.api.sphtools.riemann.RiemannSolver.solve_middle_state().

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fprimeb()

exaparty.api.sphtools.riemann.RiemannSolver.fprimeb	(		self,
			rho,
			P,
			a,
			Pstar
	)

Derivative of the Riemann fL or fR function.

Parameters

rho	Density of the left or right state.
P	Pressure of the left or right state.
a	Soundspeed of the left or right state.
Pstar	(Temporary) pressure of the middle state.

Returns

Value of the derivative of the Riemann fL or fR function.

Definition at line 122 of file riemann.py.

References exaparty.api.sphtools.riemann.RiemannSolver._gm1dgp1, exaparty.api.sphtools.riemann.RiemannSolver._gp1d2g, and exaparty.api.sphtools.riemann.RiemannSolver._tdgp1.

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.fprime().

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gb()

exaparty.api.sphtools.riemann.RiemannSolver.gb	(		self,
			rho,
			P,
			Pstar
	)

Riemann gL or gR function.

Parameters

rho	Density of the left or right state.
P	Pressure of the left or right state.
Pstar	(Temporary) pressure in the middle state.

Returns

Value of the gL or gR function.

Definition at line 156 of file riemann.py.

References exaparty.api.sphtools.riemann.RiemannSolver._gm1dgp1, and exaparty.api.sphtools.riemann.RiemannSolver._tdgp1.

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.guess_P().

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get_soundspeed()

exaparty.api.sphtools.riemann.RiemannSolver.get_soundspeed	(		self,
			rho,
			P
	)

Get the soundspeed corresponding to the given density and pressure.

Parameters

rho	Density value.
P	Pressure value.

Returns

Soundspeed.

Definition at line 73 of file riemann.py.

References exaparty.api.sphtools.riemann.RiemannSolver._gamma.

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.solve(), and exaparty.api.sphtools.riemann.RiemannSolver.solve_middle_state().

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guess_P()

exaparty.api.sphtools.riemann.RiemannSolver.guess_P	(		self,
			rhoL,
			uL,
			PL,
			aL,
			rhoR,
			uR,
			PR,
			aR
	)

Get an initial guess for the pressure in the middle state.

Parameters

rhoL	Left state density.
uL	Left state velocity.
PL	Left state pressure.
aL	Left state soundspeed.
rhoR	Right state density.
uR	Right state velocity.
PR	Right state pressure.
aR	Right state soundspeed.

Returns

Initial guess for the pressure in the middle state.

Definition at line 169 of file riemann.py.

References exaparty.api.sphtools.riemann.RiemannSolver._gm1d2, exaparty.api.sphtools.riemann.RiemannSolver._gm1d2g, exaparty.api.sphtools.riemann.RiemannSolver._tgdgm1, and exaparty.api.sphtools.riemann.RiemannSolver.gb().

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.solve(), and exaparty.api.sphtools.riemann.RiemannSolver.solve_middle_state().

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sample_left_rarefaction_wave()

exaparty.api.sphtools.riemann.RiemannSolver.sample_left_rarefaction_wave	(		self,
			rhoL,
			uL,
			PL,
			aL,
			ustar,
			Pstar,
			dxdt = np.array([0.0])
	)

Sample the Riemann problem solution for a position in the left rarefaction wave regime.

Parameters

rhoL	Density of the left state.
uL	Velocity of the left state.
PL	Pressure of the left state.
aL	Soundspeed of the left state.
ustar	Velocity of the middle state.
Pstar	Pressure of the middle state.
dxdt	Point in velocity space where we want to sample the solution.

Returns

Density, velocity and pressure solution.

Definition at line 460 of file riemann.py.

References exaparty.api.sphtools.riemann.RiemannSolver._ginv, exaparty.api.sphtools.riemann.RiemannSolver._gm1d2, exaparty.api.sphtools.riemann.RiemannSolver._gm1d2g, exaparty.api.sphtools.riemann.RiemannSolver._gm1dgp1, exaparty.api.sphtools.riemann.RiemannSolver._tdgm1, exaparty.api.sphtools.riemann.RiemannSolver._tdgp1, and exaparty.api.sphtools.riemann.RiemannSolver._tgdgm1.

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.sample_left_state().

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sample_left_shock_wave()

exaparty.api.sphtools.riemann.RiemannSolver.sample_left_shock_wave	(		self,
			rhoL,
			uL,
			PL,
			aL,
			ustar,
			Pstar,
			dxdt = np.array([0.0])
	)

Sample the Riemann problem solution for a position in the left shock wave regime.

Parameters

rhoL	Density of the left state.
uL	Velocity of the left state.
PL	Pressure of the left state.
aL	Soundspeed of the left state.
ustar	Velocity of the middle state.
Pstar	Pressure of the middle state.
dxdt	Point in velocity space where we want to sample the solution.

Returns

Density, velocity and pressure solution.

Definition at line 419 of file riemann.py.

References exaparty.api.sphtools.riemann.RiemannSolver._gm1d2g, exaparty.api.sphtools.riemann.RiemannSolver._gm1dgp1, and exaparty.api.sphtools.riemann.RiemannSolver._gp1d2g.

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.sample_left_state().

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sample_left_state()

exaparty.api.sphtools.riemann.RiemannSolver.sample_left_state	(		self,
			rhoL,
			uL,
			PL,
			aL,
			ustar,
			Pstar,
			dxdt = np.array([0.0])
	)

Sample the Riemann problem solution in the left state regime.

Parameters

rhoL	Density of the left state.
uL	Velocity of the left state.
PL	Pressure of the left state.
aL	Soundspeed of the left state.
ustar	Velocity of the middle state.
Pstar	Pressure of the middle state.
dxdt	Point in velocity space where we want to sample the solution.

Returns

Density, velocity and pressure solution.

Definition at line 514 of file riemann.py.

References exaparty.api.sphtools.riemann.RiemannSolver.sample_left_rarefaction_wave(), and exaparty.api.sphtools.riemann.RiemannSolver.sample_left_shock_wave().

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.solve().

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sample_left_vacuum()

exaparty.api.sphtools.riemann.RiemannSolver.sample_left_vacuum	(		self,
			rhoR,
			uR,
			PR,
			aR,
			dxdt = np.array([0.0])
	)

Sample the vacuum Riemann problem if the left state is a vacuum.

Parameters

rhoR	Density of the right state.
uR	Velocity of the right state.
PR	Pressure of the right state.
aR	Soundspeed of the right state.
dxdt	Point in velocity space where we want to sample the solution.

Returns

Density, velocity and pressure solution, and a flag indicating wether the left state (-1), the right state (1), or a vacuum state (0) was sampled.

Definition at line 586 of file riemann.py.

References exaparty.api.sphtools.riemann.RiemannSolver._gm1dgp1, exaparty.api.sphtools.riemann.RiemannSolver._tdgm1, exaparty.api.sphtools.riemann.RiemannSolver._tdgp1, and exaparty.api.sphtools.riemann.RiemannSolver._tgdgm1.

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.solve_vacuum().

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sample_right_rarefaction_wave()

exaparty.api.sphtools.riemann.RiemannSolver.sample_right_rarefaction_wave	(		self,
			rhoR,
			uR,
			PR,
			aR,
			ustar,
			Pstar,
			dxdt = np.array([0.0])
	)

Sample the Riemann problem solution for a position in the right rarefaction wave regime.

Parameters

rhoR	Density of the right state.
uR	Velocity of the right state.
PR	Pressure of the right state.
aR	Soundspeed of the right state.
ustar	Velocity of the middle state.
Pstar	Pressure of the middle state.
dxdt	Point in velocity space where we want to sample the solution.

Returns

Density, velocity and pressure solution.

Definition at line 343 of file riemann.py.

References exaparty.api.sphtools.riemann.RiemannSolver._ginv, exaparty.api.sphtools.riemann.RiemannSolver._gm1d2, exaparty.api.sphtools.riemann.RiemannSolver._gm1d2g, exaparty.api.sphtools.riemann.RiemannSolver._gm1dgp1, exaparty.api.sphtools.riemann.RiemannSolver._tdgm1, exaparty.api.sphtools.riemann.RiemannSolver._tdgp1, and exaparty.api.sphtools.riemann.RiemannSolver._tgdgm1.

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.sample_right_state().

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sample_right_shock_wave()

exaparty.api.sphtools.riemann.RiemannSolver.sample_right_shock_wave	(		self,
			rhoR,
			uR,
			PR,
			aR,
			ustar,
			Pstar,
			dxdt = np.array([0.0])
	)

Sample the Riemann problem solution for a position in the right shock wave regime.

Parameters

rhoR	Density of the right state.
uR	Velocity of the right state.
PR	Pressure of the right state.
aR	Soundspeed of the right state.
ustar	Velocity of the middle state.
Pstar	Pressure of the middle state.
rhosol	Density solution.
usol	Velocity solution.
Psol	Pressure solution.
dxdt	Point in velocity space where we want to sample the solution.

Returns

Density, velocity and pressure solution.

Definition at line 301 of file riemann.py.

References exaparty.api.sphtools.riemann.RiemannSolver._gm1d2g, exaparty.api.sphtools.riemann.RiemannSolver._gm1dgp1, and exaparty.api.sphtools.riemann.RiemannSolver._gp1d2g.

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.sample_right_state().

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sample_right_state()

exaparty.api.sphtools.riemann.RiemannSolver.sample_right_state	(		self,
			rhoR,
			uR,
			PR,
			aR,
			ustar,
			Pstar,
			dxdt = np.array([0.0])
	)

Sample the Riemann problem solution in the right state regime.

Parameters

rhoR	Density of the right state.
uR	Velocity of the right state.
PR	Pressure of the right state.
aR	Soundspeed of the right state.
ustar	Velocity of the middle state.
Pstar	Pressure of the middle state.
dxdt	Point in velocity space where we want to sample the solution.

Returns

Density, velocity and pressure solution.

Definition at line 393 of file riemann.py.

References exaparty.api.sphtools.riemann.RiemannSolver.sample_right_rarefaction_wave(), and exaparty.api.sphtools.riemann.RiemannSolver.sample_right_shock_wave().

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.solve().

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sample_right_vacuum()

exaparty.api.sphtools.riemann.RiemannSolver.sample_right_vacuum	(		self,
			rhoL,
			uL,
			PL,
			aL,
			dxdt = np.array([0.0])
	)

Sample the vacuum Riemann problem if the right state is a vacuum.

Parameters

rhoL	Density of the left state.
uL	Velocity of the left state.
PL	Pressure of the left state.
aL	Soundspeed of the left state.
dxdt	Point in velocity space where we want to sample the solution.

Returns

Density, velocity and pressure solution, and a flag indicating wether the left state (-1), the right state (1), or a vacuum state (0) was sampled.

Definition at line 540 of file riemann.py.

References exaparty.api.sphtools.riemann.RiemannSolver._gm1d2, exaparty.api.sphtools.riemann.RiemannSolver._gm1dgp1, exaparty.api.sphtools.riemann.RiemannSolver._tdgm1, exaparty.api.sphtools.riemann.RiemannSolver._tdgp1, and exaparty.api.sphtools.riemann.RiemannSolver._tgdgm1.

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.solve_vacuum().

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sample_vacuum_generation()

exaparty.api.sphtools.riemann.RiemannSolver.sample_vacuum_generation	(		self,
			rhoL,
			uL,
			PL,
			aL,
			rhoR,
			uR,
			PR,
			aR,
			dxdt
	)

Sample the vacuum Riemann problem in the case vacuum is generated in between the left and right state.

Parameters

rhoL	Density of the left state.
uL	Velocity of the left state.
PL	Pressure of the left state.
aL	Soundspeed of the left state.
rhoR	Density of the right state.
uR	Velocity of the right state.
PR	Pressure of the right state.
aR	Soundspeed of the right state.
dxdt	Point in velocity space where we want to sample the solution.

Returns

Density, velocity and pressure solution, and a flag indicating wether the left state (-1), the right state (1), or a vacuum state (0) was sampled.

Definition at line 632 of file riemann.py.

References exaparty.api.sphtools.riemann.RiemannSolver._gm1dgp1, exaparty.api.sphtools.riemann.RiemannSolver._tdgm1, exaparty.api.sphtools.riemann.RiemannSolver._tdgp1, and exaparty.api.sphtools.riemann.RiemannSolver._tgdgm1.

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.solve_vacuum().

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solve()

exaparty.api.sphtools.riemann.RiemannSolver.solve	(		self,
			rhoL,
			uL,
			PL,
			rhoR,
			uR,
			PR,
			dxdt = np.array([0.0])
	)

Solve the Riemann problem with the given left and right state.

Parameters

rhoL	Left state density.
uL	Left state velocity.
PL	Left state pressure.
rhoR	Right state density.
uR	Right state velocity.
PR	Right state pressure.
dxdt	Point in velocity space where we want to sample the solution.

Returns

Density, velocity and pressure solution, and a flag indicating wether the left state (-1), the right state (1), or a vacuum state (0) was sampled.

Definition at line 755 of file riemann.py.

References exaparty.api.sphtools.riemann.RiemannSolver._tdgm1, exaparty.api.particle.SPHParticle.SPHParticle.f, exaparty.api.sphtools.riemann.RiemannSolver.f(), exaparty.api.sphtools.riemann.RiemannSolver.fb(), exaparty.api.sphtools.riemann.RiemannSolver.fprime(), exaparty.api.sphtools.riemann.RiemannSolver.get_soundspeed(), exaparty.api.sphtools.riemann.RiemannSolver.guess_P(), exaparty.api.sphtools.riemann.RiemannSolver.sample_left_state(), exaparty.api.sphtools.riemann.RiemannSolver.sample_right_state(), exaparty.api.sphtools.riemann.RiemannSolver.solve_brent(), and exaparty.api.sphtools.riemann.RiemannSolver.solve_vacuum().

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solve_brent()

exaparty.api.sphtools.riemann.RiemannSolver.solve_brent	(		self,
			rhoL,
			uL,
			PL,
			aL,
			rhoR,
			uR,
			PR,
			aR,
			Plow,
			Phigh
	)

Find the pressure of the middle state by using Brent's method.

Parameters

rhoL	Density of the left state.
uL	Velocity of the left state.
PL	Pressure of the left state.
aL	Soundspeed of the left state.
rhoR	Density of the right state.
uR	Velocity of the right state.
PR	Pressure of the right state.
aR	Soundspeed of the right state.
Plow	Lower bound guess for the pressure of the middle state.
Phigh	Higher bound guess for the pressure of the middle state.

Returns

Pressure of the middle state, with a 1.e-8 relative error precision.

Definition at line 210 of file riemann.py.

References exaparty.api.particle.SPHParticle.SPHParticle.f, and exaparty.api.sphtools.riemann.RiemannSolver.f().

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.solve(), and exaparty.api.sphtools.riemann.RiemannSolver.solve_middle_state().

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solve_middle_state()

exaparty.api.sphtools.riemann.RiemannSolver.solve_middle_state	(		self,
			rhoL,
			uL,
			PL,
			rhoR,
			uR,
			PR
	)

Solve the Riemann problem with the given left and right state for the velocity and pressure (but do not sample the solution).

Parameters

rhoL	Left state density.
uL	Left state velocity.
PL	Left state pressure.
rhoR	Right state density.
uR	Right state velocity.
PR	Right state pressure.

Returns

Velocity and pressure in the middle region.

Definition at line 854 of file riemann.py.

References exaparty.api.sphtools.riemann.RiemannSolver._tdgm1, exaparty.api.particle.SPHParticle.SPHParticle.f, exaparty.api.sphtools.riemann.RiemannSolver.f(), exaparty.api.sphtools.riemann.RiemannSolver.fb(), exaparty.api.sphtools.riemann.RiemannSolver.fprime(), exaparty.api.sphtools.riemann.RiemannSolver.get_soundspeed(), exaparty.api.sphtools.riemann.RiemannSolver.guess_P(), and exaparty.api.sphtools.riemann.RiemannSolver.solve_brent().

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solve_vacuum()

exaparty.api.sphtools.riemann.RiemannSolver.solve_vacuum	(		self,
			rhoL,
			uL,
			PL,
			aL,
			rhoR,
			uR,
			PR,
			aR,
			dxdt = np.array([0.0])
	)

Vacuum Riemann solver.

This solver is called when one or both states have a zero density, or when the vacuum generation condition is satisfied (meaning vacuum is generated in the middle state, although strictly speaking there is no "middle" state if vacuum is involved).

Parameters

rhoL	Density of the left state.
uL	Velocity of the left state.
PL	Pressure of the left state.
aL	Soundspeed of the left state.
rhoR	Density of the right state.
uR	Velocity of the right state.
PR	Pressure of the right state.
aR	Soundspeed of the right state.
dxdt	Point in velocity space where we want to sample the solution.

Returns

Density, velocity and pressure solution, and a flag indicating wether the left state (-1), the right state (1), or a vacuum state (0) was sampled.

Definition at line 712 of file riemann.py.

References exaparty.api.sphtools.riemann.RiemannSolver.sample_left_vacuum(), exaparty.api.sphtools.riemann.RiemannSolver.sample_right_vacuum(), and exaparty.api.sphtools.riemann.RiemannSolver.sample_vacuum_generation().

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.solve().

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Field Documentation

_gamma

exaparty.api.sphtools.riemann.RiemannSolver._gamma

protected

Definition at line 53 of file riemann.py.

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.get_soundspeed().

_ginv

exaparty.api.sphtools.riemann.RiemannSolver._ginv

protected

Definition at line 71 of file riemann.py.

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.sample_left_rarefaction_wave(), and exaparty.api.sphtools.riemann.RiemannSolver.sample_right_rarefaction_wave().

_gm1d2

exaparty.api.sphtools.riemann.RiemannSolver._gm1d2

protected

Definition at line 67 of file riemann.py.

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.guess_P(), exaparty.api.sphtools.riemann.RiemannSolver.sample_left_rarefaction_wave(), exaparty.api.sphtools.riemann.RiemannSolver.sample_right_rarefaction_wave(), and exaparty.api.sphtools.riemann.RiemannSolver.sample_right_vacuum().

_gm1d2g

exaparty.api.sphtools.riemann.RiemannSolver._gm1d2g

protected

Definition at line 59 of file riemann.py.

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.fb(), exaparty.api.sphtools.riemann.RiemannSolver.guess_P(), exaparty.api.sphtools.riemann.RiemannSolver.sample_left_rarefaction_wave(), exaparty.api.sphtools.riemann.RiemannSolver.sample_left_shock_wave(), exaparty.api.sphtools.riemann.RiemannSolver.sample_right_rarefaction_wave(), and exaparty.api.sphtools.riemann.RiemannSolver.sample_right_shock_wave().

_gm1dgp1

exaparty.api.sphtools.riemann.RiemannSolver._gm1dgp1

protected

Definition at line 61 of file riemann.py.

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.fb(), exaparty.api.sphtools.riemann.RiemannSolver.fprimeb(), exaparty.api.sphtools.riemann.RiemannSolver.gb(), exaparty.api.sphtools.riemann.RiemannSolver.sample_left_rarefaction_wave(), exaparty.api.sphtools.riemann.RiemannSolver.sample_left_shock_wave(), exaparty.api.sphtools.riemann.RiemannSolver.sample_left_vacuum(), exaparty.api.sphtools.riemann.RiemannSolver.sample_right_rarefaction_wave(), exaparty.api.sphtools.riemann.RiemannSolver.sample_right_shock_wave(), exaparty.api.sphtools.riemann.RiemannSolver.sample_right_vacuum(), and exaparty.api.sphtools.riemann.RiemannSolver.sample_vacuum_generation().

_gp1d2g

exaparty.api.sphtools.riemann.RiemannSolver._gp1d2g

protected

related quantities: gamma plus 1 divided by 2 gamma

Definition at line 57 of file riemann.py.

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.fprimeb(), exaparty.api.sphtools.riemann.RiemannSolver.sample_left_shock_wave(), and exaparty.api.sphtools.riemann.RiemannSolver.sample_right_shock_wave().

_tdgm1

exaparty.api.sphtools.riemann.RiemannSolver._tdgm1

protected

Definition at line 65 of file riemann.py.

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.fb(), exaparty.api.sphtools.riemann.RiemannSolver.sample_left_rarefaction_wave(), exaparty.api.sphtools.riemann.RiemannSolver.sample_left_vacuum(), exaparty.api.sphtools.riemann.RiemannSolver.sample_right_rarefaction_wave(), exaparty.api.sphtools.riemann.RiemannSolver.sample_right_vacuum(), exaparty.api.sphtools.riemann.RiemannSolver.sample_vacuum_generation(), exaparty.api.sphtools.riemann.RiemannSolver.solve(), and exaparty.api.sphtools.riemann.RiemannSolver.solve_middle_state().

_tdgp1

exaparty.api.sphtools.riemann.RiemannSolver._tdgp1

protected

Definition at line 63 of file riemann.py.

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.fb(), exaparty.api.sphtools.riemann.RiemannSolver.fprimeb(), exaparty.api.sphtools.riemann.RiemannSolver.gb(), exaparty.api.sphtools.riemann.RiemannSolver.sample_left_rarefaction_wave(), exaparty.api.sphtools.riemann.RiemannSolver.sample_left_vacuum(), exaparty.api.sphtools.riemann.RiemannSolver.sample_right_rarefaction_wave(), exaparty.api.sphtools.riemann.RiemannSolver.sample_right_vacuum(), and exaparty.api.sphtools.riemann.RiemannSolver.sample_vacuum_generation().

_tgdgm1

exaparty.api.sphtools.riemann.RiemannSolver._tgdgm1

protected

Definition at line 69 of file riemann.py.

Referenced by exaparty.api.sphtools.riemann.RiemannSolver.guess_P(), exaparty.api.sphtools.riemann.RiemannSolver.sample_left_rarefaction_wave(), exaparty.api.sphtools.riemann.RiemannSolver.sample_left_vacuum(), exaparty.api.sphtools.riemann.RiemannSolver.sample_right_rarefaction_wave(), exaparty.api.sphtools.riemann.RiemannSolver.sample_right_vacuum(), and exaparty.api.sphtools.riemann.RiemannSolver.sample_vacuum_generation().

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The documentation for this class was generated from the following file:

• src/exaparty/api/sphtools/riemann.py