symbolic_generation.compressible_navier_stokes.src.generate_diffusive_flux Namespace Reference

Functions
def	ComputeDiffusiveFlux (dofs, dUdx, params)
	Calculate the diffusive flux matrix without shock capturing contribution. More...
def	ComputeDiffusiveFluxWithShockCapturing (dofs, dUdx, params, sc_params)
	Calculate the diffusive flux matrix with a physics-based shock capturing contribution. More...
def	CalculuateMassFluxVector (alpha, dUdx)
	Auxiliary function to calculate mass flux vector f_rho = alpha * gradient(u) More...
def	CalculateViscousStressTensor (mu, beta, rho, mom, dim, dUdx)
	Auxiliary function to calculate the viscous stress tensor for the given dynamic and bulk viscosity values. More...
def	CalculateHeatFluxVector (c_v, lamb, rho, mom, e_tot, dim, dUdx)
	Auxiliary function to calculate the heat flux vector with Fourier's law. More...
def	WriteInVoigtNotation (dim, tensor)
	Auxiliary function to represent a 2nd order tensor in Voigt notation. More...
def	RevertVoigtNotation (dim, voigt_tensor)
	Auxiliary function to set a 2nd order tensor from its Voigt representation. More...
def	PrintDiffusiveFluxMatrix (G, params)
	Auxiliary function to print the diffusive flux matrix (G) More...

Function Documentation

CalculateHeatFluxVector()

def symbolic_generation.compressible_navier_stokes.src.generate_diffusive_flux.CalculateHeatFluxVector	(		c_v,
			lamb,
			rho,
			mom,
			e_tot,
			dim,
			dUdx
	)

Auxiliary function to calculate the heat flux vector with Fourier's law.

CalculateViscousStressTensor()

def symbolic_generation.compressible_navier_stokes.src.generate_diffusive_flux.CalculateViscousStressTensor	(		mu,
			beta,
			rho,
			mom,
			dim,
			dUdx
	)

Auxiliary function to calculate the viscous stress tensor for the given dynamic and bulk viscosity values.

CalculuateMassFluxVector()

def symbolic_generation.compressible_navier_stokes.src.generate_diffusive_flux.CalculuateMassFluxVector	(		alpha,
			dUdx
	)

Auxiliary function to calculate mass flux vector f_rho = alpha * gradient(u)

Mass diffusivity (alpha) is 0 in the Navier-Stokes equations but some shock capturing methods introduce a positive, non-zero value

ComputeDiffusiveFlux()

def symbolic_generation.compressible_navier_stokes.src.generate_diffusive_flux.ComputeDiffusiveFlux	(		dofs,
			dUdx,
			params
	)

Calculate the diffusive flux matrix without shock capturing contribution.

ComputeDiffusiveFluxWithShockCapturing()

def symbolic_generation.compressible_navier_stokes.src.generate_diffusive_flux.ComputeDiffusiveFluxWithShockCapturing	(		dofs,
			dUdx,
			params,
			sc_params
	)

Calculate the diffusive flux matrix with a physics-based shock capturing contribution.

See:

1. Fernandez, Nguyen and Peraire A physics-based shock capturing methods for large-eddy simulation..

PrintDiffusiveFluxMatrix()

def symbolic_generation.compressible_navier_stokes.src.generate_diffusive_flux.PrintDiffusiveFluxMatrix	(		G,
			params
	)

Auxiliary function to print the diffusive flux matrix (G)

RevertVoigtNotation()

def symbolic_generation.compressible_navier_stokes.src.generate_diffusive_flux.RevertVoigtNotation	(		dim,
			voigt_tensor
	)

Auxiliary function to set a 2nd order tensor from its Voigt representation.

WriteInVoigtNotation()

def symbolic_generation.compressible_navier_stokes.src.generate_diffusive_flux.WriteInVoigtNotation	(		dim,
			tensor
	)

Auxiliary function to represent a 2nd order tensor in Voigt notation.