atl_physFluxNvrStk_module Module

Collects all functions related to the physical fluxes of the compressible Navier-Stokes equations.

Uses

- env_module

Functions

public function atl_viscPhysFluxNavierStokes(state, state_gradient, mu, lambda, thermCond, heatCap) result(physFlux)

Physical flux calculation along x direction for Euler equation.

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	state(:)	The state in nodal space. Dimension is the number of state variables i.e. 5 for Navier-Stokes.
real(kind=rk),	intent(in)			::	state_gradient(:,:)	The state in nodal space. First dimension is the number of variables i.e. 5 for Navier-Stokes. Second dimension is the dimension, e.g. 3 in two dimensions.
real(kind=rk),	intent(in)			::	mu	Dynamic Viscosity
real(kind=rk),	intent(in)			::	lambda	Viscosity
real(kind=rk),	intent(in)			::	thermCond	The thermal cond
real(kind=rk),	intent(in)			::	heatCap	The specific heat capacity (per mass unit mass, at constant volume)

Return Value real(kind=rk), (5)

The physical flux along the x axis for all variables

public function atl_mult_nu11_NavierStokes(density, velocity, totEnergy, inVec, mu, lambda, thermCond, heatCap) result(outVec)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	density	The density
real(kind=rk),	intent(in)			::	velocity(3)	The velocity
real(kind=rk),	intent(in)			::	totEnergy	The total energy
real(kind=rk),	intent(in)			::	inVec(5)	Vector to be multiplied with nu11
real(kind=rk),	intent(in)			::	mu	Dynamic Viscosity
real(kind=rk),	intent(in)			::	lambda	Viscosity
real(kind=rk),	intent(in)			::	thermCond	The thermal cond
real(kind=rk),	intent(in)			::	heatCap	The specific heat capacity (per mass unit mass, at constant volume)

Return Value real(kind=rk), (5)

The result of the matrix vector product

public function atl_mult_nu21_NavierStokes(density, velocity, inVec, mu, lambda) result(outVec)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	density	The density
real(kind=rk),	intent(in)			::	velocity(3)	The velocity
real(kind=rk),	intent(in)			::	inVec(5)	Vector to be multiplied with nu11
real(kind=rk),	intent(in)			::	mu	Dynamic Viscosity
real(kind=rk),	intent(in)			::	lambda	Viscosity

Return Value real(kind=rk), (5)

The result of the matrix vector product

public function atl_mult_nu31_NavierStokes(density, velocity, inVec, mu, lambda) result(outVec)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	density	The density
real(kind=rk),	intent(in)			::	velocity(3)	The velocity
real(kind=rk),	intent(in)			::	inVec(5)	Vector to be multiplied with nu11
real(kind=rk),	intent(in)			::	mu	Dynamic Viscosity
real(kind=rk),	intent(in)			::	lambda	Viscosity

Return Value real(kind=rk), (5)

The result of the matrix vector product

public function atl_mult_nu12_NavierStokes(density, velocity, inVec, mu, lambda) result(outVec)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	density	The density
real(kind=rk),	intent(in)			::	velocity(3)	The velocity
real(kind=rk),	intent(in)			::	inVec(5)	Vector to be multiplied with nu11
real(kind=rk),	intent(in)			::	mu	Dynamic Viscosity
real(kind=rk),	intent(in)			::	lambda	Viscosity

Return Value real(kind=rk), (5)

The result of the matrix vector product

public function atl_mult_nu13_NavierStokes(density, velocity, inVec, mu, lambda) result(outVec)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	density	The density
real(kind=rk),	intent(in)			::	velocity(3)	The velocity
real(kind=rk),	intent(in)			::	inVec(5)	Vector to be multiplied with nu11
real(kind=rk),	intent(in)			::	mu	Dynamic Viscosity
real(kind=rk),	intent(in)			::	lambda	Viscosity

Return Value real(kind=rk), (5)

The result of the matrix vector product

public function atl_mult_nu23_NavierStokes(density, velocity, inVec, mu, lambda) result(outVec)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	density	The density
real(kind=rk),	intent(in)			::	velocity(3)	The velocity
real(kind=rk),	intent(in)			::	inVec(5)	Vector to be multiplied with nu11
real(kind=rk),	intent(in)			::	mu	Dynamic Viscosity
real(kind=rk),	intent(in)			::	lambda	Viscosity

Return Value real(kind=rk), (5)

The result of the matrix vector product

public function atl_mult_nu32_NavierStokes(density, velocity, inVec, mu, lambda) result(outVec)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	density	The density
real(kind=rk),	intent(in)			::	velocity(3)	The velocity
real(kind=rk),	intent(in)			::	inVec(5)	Vector to be multiplied with nu11
real(kind=rk),	intent(in)			::	mu	Dynamic Viscosity
real(kind=rk),	intent(in)			::	lambda	Viscosity

Return Value real(kind=rk), (5)

The result of the matrix vector product

public function atl_mult_nu22_NavierStokes(density, velocity, totEnergy, inVec, mu, lambda, thermCond, heatCap) result(outVec)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	density	The density
real(kind=rk),	intent(in)			::	velocity(3)	The velocity
real(kind=rk),	intent(in)			::	totEnergy	The total energy
real(kind=rk),	intent(in)			::	inVec(5)	Vector to be multiplied with nu11
real(kind=rk),	intent(in)			::	mu	Dynamic Viscosity
real(kind=rk),	intent(in)			::	lambda	Viscosity
real(kind=rk),	intent(in)			::	thermCond	The thermal cond
real(kind=rk),	intent(in)			::	heatCap	The specific heat capacity (per mass unit mass, at constant volume)

Return Value real(kind=rk), (5)

The result of the matrix vector product

public function atl_mult_nu33_NavierStokes(density, velocity, totEnergy, inVec, mu, lambda, thermCond, heatCap) result(outVec)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	density	The density
real(kind=rk),	intent(in)			::	velocity(3)	The velocity
real(kind=rk),	intent(in)			::	totEnergy	The total energy
real(kind=rk),	intent(in)			::	inVec(5)	Vector to be multiplied with nu11
real(kind=rk),	intent(in)			::	mu	Dynamic Viscosity
real(kind=rk),	intent(in)			::	lambda	Viscosity
real(kind=rk),	intent(in)			::	thermCond	The thermal cond
real(kind=rk),	intent(in)			::	heatCap	The specific heat capacity (per mass unit mass, at constant volume)

Return Value real(kind=rk), (5)

The result of the matrix vector product