mus_scheme_derived_quantities_module

This module contains data types, function and routines for gradient computation.

author: Gregorio Gerardo Spinelli

Uses

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Used by

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Solid arrows point from a submodule to the (sub)module which it is descended from. Dashed arrows point from a module or program unit to modules which it uses.

Abstract Interfaces

abstract interface

private pure function get_pdfEq(rho, vel, QQ, cxDirRK, weight) result(fEq)

function pointer to get pdf equilibrium from vel and density

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	rho	density
real(kind=rk),	intent(in)		::	vel(3)	velocity
integer,	intent(in)		::	QQ	size of the stencil
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir
real(kind=rk),	intent(in),	optional	::	weight(:)	weight along iDir

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

output is equilibrium pdf

abstract interface

private pure function get_pdfEq_iDir(rho, vel, iDir, cxDirRK, weight) result(fEq)

function pointer to get pdf equilibrium from vel and density along a

Arguments

Type	Intent		Name
real(kind=rk),	intent(in)	::	rho	density
real(kind=rk),	intent(in)	::	vel(3)	velocity
integer,	intent(in)	::	iDir	direction of the pdf
real(kind=rk),	intent(in)	::	cxDirRK(3)	velocity streaming normal along iDir
real(kind=rk),	intent(in)	::	weight	weight along iDir

Return Value real(kind=rk)

output is equilibrium pdf

abstract interface

private pure function get_vel_from_pdf(pdf, dens, cxDirRK) result(vel)

function pointer to get pdf equilibrium from vel and density

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	pdf(:)	pdf
real(kind=rk),	intent(in)		::	dens	density
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir

Return Value real(kind=rk), (3)

velocity

abstract interface

private pure function get_vel_from_pdf_vectorized(pdf, dens, cxDirRK, nSolve) result(vel)

function pointer to get pdf equilibrium from vel and density VECTORIZED

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	pdf(:,:)	pdf
real(kind=rk),	intent(in)		::	dens(:)	density
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir
integer,	intent(in)		::	nSolve	number of element to compute

Return Value real(kind=rk), (3,vlen)

velocity

abstract interface

private pure function get_vector_from_vel_dens(vel, dens) result(vector)

function pointer to get pdf equilibrium from vel and density

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	vel(:)	velocity
real(kind=rk),	intent(in)			::	dens	density

Return Value real(kind=rk), (3)

momentum

abstract interface

private pure function get_scalar_from_vel_dens(vel, dens) result(scalar)

function pointer to get pdf equilibrium from vel and density

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	vel(:)	velocity
real(kind=rk),	intent(in)			::	dens	density

Return Value real(kind=rk)

momentum

abstract interface

private pure function get_rho0Inv(dens) result(inv_rho0)

function pointer to get 1/rho as a mask regardless incompressibility

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	dens	density

Return Value real(kind=rk)

inverse of density regardless compressibility

Derived Types

type, public :: mus_scheme_derived_quantities_type

collection of properties of the scheme derived quantities type

Components

Type	Visibility	Attributes		Name		Initial
procedure(get_pdfEq),	public,	nopass, pointer	::	pdfEq_ptr	=>	null()	function pointer to get pdf equilibrium from vel and density
procedure(get_pdfEq_iDir),	public,	nopass, pointer	::	pdfEq_iDir_ptr	=>	null()	function pointer to get pdf equilibrium in a specific direction
procedure(get_vel_from_pdf),	public,	nopass, pointer	::	vel_from_pdf_ptr	=>	null()	function pointer to get velocities from pdf
procedure(get_vel_from_pdf_vectorized),	public,	nopass, pointer	::	vel_from_pdf_vectorized_ptr	=>	null()	function pointer to get velocities from pdf VECTORIZED
procedure(get_vector_from_vel_dens),	public,	nopass, pointer	::	momentum_from_vel_dens_ptr	=>	null()	function pointer to get momentum
procedure(get_scalar_from_vel_dens),	public,	nopass, pointer	::	kineticEnergy_from_vel_dens_ptr	=>	null()	function pointer to get kinetic energy
procedure(get_rho0Inv),	public,	nopass, pointer	::	rho0Inv_ptr	=>	null()	function pointer to get 1/rho as a mask regardless incompressibility

Functions

public function mus_assign_derived_functions_ptr(label_stencil, label_fluid) result(getQuantities)

This function assigns the pointers for the respective derived function in

Arguments

Type	Intent	Optional	Attributes		Name
character(len=labelLen),	intent(in)			::	label_stencil	Scheme header information
character(len=labelLen),	intent(in)			::	label_fluid	Fluid label information

Return Value type(mus_scheme_derived_quantities_type)

getQuantities function

private pure function get_pdfEq_incompressible_iDir(rho, vel, iDir, cxDirRK, weight) result(fEq)

function pointer to get pdf equilibrium from vel and density along a

Arguments

Type	Intent		Name
real(kind=rk),	intent(in)	::	rho	density
real(kind=rk),	intent(in)	::	vel(3)	velocity
integer,	intent(in)	::	iDir	direction of the pdf
real(kind=rk),	intent(in)	::	cxDirRK(3)	velocity streaming normal along iDir
real(kind=rk),	intent(in)	::	weight	weight along iDir

Return Value real(kind=rk)

output is equilibrium pdf

private pure function get_pdfEq_compressible_iDir(rho, vel, iDir, cxDirRK, weight) result(fEq)

function pointer to get pdf equilibrium from vel and density along a

Arguments

Type	Intent		Name
real(kind=rk),	intent(in)	::	rho	density
real(kind=rk),	intent(in)	::	vel(3)	velocity
integer,	intent(in)	::	iDir	direction of the pdf
real(kind=rk),	intent(in)	::	cxDirRK(3)	velocity streaming normal along iDir
real(kind=rk),	intent(in)	::	weight	weight along iDir

Return Value real(kind=rk)

output is equilibrium pdf

private pure function get_pdfEq_incompressible(rho, vel, QQ, cxDirRK, weight) result(fEq)

function pointer to get pdf equilibrium from vel and density along a

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	rho	density
real(kind=rk),	intent(in)		::	vel(3)	velocity
integer,	intent(in)		::	QQ	size of the pdf
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir
real(kind=rk),	intent(in),	optional	::	weight(:)	weight along iDir

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

output is equilibrium pdf

private pure function get_pdfEq_compressible(rho, vel, QQ, cxDirRK, weight) result(fEq)

function pointer to get pdf equilibrium from vel and density along a

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	rho	density
real(kind=rk),	intent(in)		::	vel(3)	velocity
integer,	intent(in)		::	QQ	size of the pdf
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir
real(kind=rk),	intent(in),	optional	::	weight(:)	weight along iDir

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

output is equilibrium pdf

private pure function get_sigma_d2q9(vel) result(sigma)

This function computes the sigma vector necessary to get the

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	vel(3)	velocity

Return Value real(kind=rk), (9)

output is sigma vector

private pure function get_pdfEq_d2q9(rho, vel, QQ, cxDirRK, weight) result(fEq)

This function computes the equilibrium pdf from velocity

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	rho	density
real(kind=rk),	intent(in)		::	vel(3)	velocity
integer,	intent(in)		::	QQ	size of the pdf
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir
real(kind=rk),	intent(in),	optional	::	weight(:)	weight along iDir

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

output is equilibrium pdf

private pure function get_pdfEq_incomp_d2q9(rho, vel, QQ, cxDirRK, weight) result(fEq)

This function computes the incompressible equilibrium pdf from velocity

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	rho	density
real(kind=rk),	intent(in)		::	vel(3)	velocity
integer,	intent(in)		::	QQ	size of the pdf
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir
real(kind=rk),	intent(in),	optional	::	weight(:)	weight along iDir

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

output is equilibrium pdf

private pure function get_sigma_d3q19(vel) result(sigma)

This function computes the sigma vector necessary to get the

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	vel(3)	velocity

Return Value real(kind=rk), (22)

output is sigma vector

private pure function get_pdfEq_d3q19(rho, vel, QQ, cxDirRK, weight) result(fEq)

This function computes the equilibrium pdf from velocity

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	rho	density
real(kind=rk),	intent(in)		::	vel(3)	velocity
integer,	intent(in)		::	QQ	size of the pdf
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir
real(kind=rk),	intent(in),	optional	::	weight(:)	weight along iDir

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

output is equilibrium pdf

private pure function get_pdfEq_incomp_d3q19(rho, vel, QQ, cxDirRK, weight) result(fEq)

This function computes the incompressible equilibrium pdf from velocity

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	rho	density
real(kind=rk),	intent(in)		::	vel(3)	velocity
integer,	intent(in)		::	QQ	size of the pdf
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir
real(kind=rk),	intent(in),	optional	::	weight(:)	weight along iDir

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

output is equilibrium pdf

private pure function get_sigma_d3q27(vel) result(sigma)

This function computes the sigma vector necessary to get the

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	vel(3)	velocity

Return Value real(kind=rk), (34)

output is sigma vector

private pure function get_pdfEq_d3q27(rho, vel, QQ, cxDirRK, weight) result(fEq)

This function computes the equilibrium pdf from velocity

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	rho	density
real(kind=rk),	intent(in)		::	vel(3)	velocity
integer,	intent(in)		::	QQ	size of the pdf
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir
real(kind=rk),	intent(in),	optional	::	weight(:)	weight along iDir

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

output is equilibrium pdf

private pure function get_pdfEq_incomp_d3q27(rho, vel, QQ, cxDirRK, weight) result(fEq)

This function computes the incompressible equilibrium pdf from velocity

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	rho	density
real(kind=rk),	intent(in)		::	vel(3)	velocity
integer,	intent(in)		::	QQ	size of the pdf
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir
real(kind=rk),	intent(in),	optional	::	weight(:)	weight along iDir

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

output is equilibrium pdf

private pure function get_vel_from_pdf_compressible(pdf, dens, cxDirRK) result(vel)

function pointer to get pdf equilibrium from vel and density for any stencil

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	pdf(:)	pdf
real(kind=rk),	intent(in)		::	dens	density
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir

Return Value real(kind=rk), (3)

velocity

private pure function get_vel_from_pdf_compressible_vectorized(pdf, dens, cxDirRK, nSolve) result(vel)

function pointer to get pdf equilibrium from vel and density for any stencil

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	pdf(:,:)	pdf
real(kind=rk),	intent(in)		::	dens(:)	density
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir
integer,	intent(in)		::	nSolve	number of element to compute

Return Value real(kind=rk), (3,vlen)

velocity

private pure function get_vel_from_pdf_incompressible(pdf, dens, cxDirRK) result(vel)

function pointer to get pdf equilibrium from vel and density for any stencil

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	pdf(:)	pdf
real(kind=rk),	intent(in)		::	dens	density
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir

Return Value real(kind=rk), (3)

velocity

private pure function get_vel_from_pdf_incompressible_vectorized(pdf, dens, cxDirRK, nSolve) result(vel)

function pointer to get pdf equilibrium from vel and density for any stencil

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	pdf(:,:)	pdf
real(kind=rk),	intent(in)		::	dens(:)	density
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir
integer,	intent(in)		::	nSolve	number of element to compute

Return Value real(kind=rk), (3,vlen)

velocity

private pure function get_vel_from_pdf_d2q9(pdf, dens, cxDirRK) result(vel)

function pointer to get pdf equilibrium from vel and density for d2q9 stencil

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	pdf(:)	pdf
real(kind=rk),	intent(in)		::	dens	density
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir

Return Value real(kind=rk), (3)

velocity

private pure function get_vel_from_pdf_d2q9_vectorized(pdf, dens, cxDirRK, nSolve) result(vel)

function pointer to get pdf equilibrium from vel and density for any stencil

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	pdf(:,:)	pdf
real(kind=rk),	intent(in)		::	dens(:)	density
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir
integer,	intent(in)		::	nSolve	number of element to compute

Return Value real(kind=rk), (3,vlen)

velocity

private pure function get_vel_from_pdf_d2q9_incompressible(pdf, dens, cxDirRK) result(vel)

function pointer to get pdf equilibrium from vel and density for d2q9 stencil

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	pdf(:)	pdf
real(kind=rk),	intent(in)		::	dens	density
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir

Return Value real(kind=rk), (3)

velocity

private pure function get_vel_from_pdf_d2q9_vectorized_incompressible(pdf, dens, cxDirRK, nSolve) result(vel)

function pointer to get pdf equilibrium from vel and density for any stencil

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	pdf(:,:)	pdf
real(kind=rk),	intent(in)		::	dens(:)	density
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir
integer,	intent(in)		::	nSolve	number of element to compute

Return Value real(kind=rk), (3,vlen)

velocity

private pure function get_vel_from_pdf_d3q19(pdf, dens, cxDirRK) result(vel)

function pointer to get pdf equilibrium from vel and density for d3q19 stencil

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	pdf(:)	pdf
real(kind=rk),	intent(in)		::	dens	density
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir

Return Value real(kind=rk), (3)

velocity

private pure function get_vel_from_pdf_d3q19_vectorized(pdf, dens, cxDirRK, nSolve) result(vel)

function pointer to get pdf equilibrium from vel and density for any stencil

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	pdf(:,:)	pdf
real(kind=rk),	intent(in)		::	dens(:)	density
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir
integer,	intent(in)		::	nSolve	number of element to compute

Return Value real(kind=rk), (3,vlen)

velocity

private pure function get_vel_from_pdf_d3q19_incompressible(pdf, dens, cxDirRK) result(vel)

function pointer to get pdf equilibrium from vel and density for d3q19 stencil

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	pdf(:)	pdf
real(kind=rk),	intent(in)		::	dens	density
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir

Return Value real(kind=rk), (3)

velocity

private pure function get_vel_from_pdf_d3q19_vectorized_incompressible(pdf, dens, cxDirRK, nSolve) result(vel)

function pointer to get pdf equilibrium from vel and density for any stencil

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	pdf(:,:)	pdf
real(kind=rk),	intent(in)		::	dens(:)	density
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir
integer,	intent(in)		::	nSolve	number of element to compute

Return Value real(kind=rk), (3,vlen)

velocity

private pure function get_vel_from_pdf_d3q27(pdf, dens, cxDirRK) result(vel)

function pointer to get pdf equilibrium from vel and density for d3q27 stencil

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	pdf(:)	pdf
real(kind=rk),	intent(in)		::	dens	density
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir

Return Value real(kind=rk), (3)

velocity

private pure function get_vel_from_pdf_d3q27_vectorized(pdf, dens, cxDirRK, nSolve) result(vel)

function pointer to get pdf equilibrium from vel and density for any stencil

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	pdf(:,:)	pdf
real(kind=rk),	intent(in)		::	dens(:)	density
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir
integer,	intent(in)		::	nSolve	number of element to compute

Return Value real(kind=rk), (3,vlen)

velocity

private pure function get_vel_from_pdf_d3q27_incompressible(pdf, dens, cxDirRK) result(vel)

function pointer to get pdf equilibrium from vel and density for d3q27 stencil

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	pdf(:)	pdf
real(kind=rk),	intent(in)		::	dens	density
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir

Return Value real(kind=rk), (3)

velocity

private pure function get_vel_from_pdf_d3q27_vectorized_incompressible(pdf, dens, cxDirRK, nSolve) result(vel)

function pointer to get pdf equilibrium from vel and density for any stencil

Arguments

Type	Intent	Optional		Name
real(kind=rk),	intent(in)		::	pdf(:,:)	pdf
real(kind=rk),	intent(in)		::	dens(:)	density
real(kind=rk),	intent(in),	optional	::	cxDirRK(:,:)	velocity streaming normal along iDir
integer,	intent(in)		::	nSolve	number of element to compute

Return Value real(kind=rk), (3,vlen)

velocity

private pure function get_momentum_from_vel_dens_compressible(vel, dens) result(vector)

function pointer to get momentum from vel and density for any stencil

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	vel(:)	velocity
real(kind=rk),	intent(in)			::	dens	density

Return Value real(kind=rk), (3)

momentum

private pure function get_momentum_from_vel_dens_incompressible(vel, dens) result(vector)

function pointer to get momentum from vel and density for any stencil

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	vel(:)	velocity
real(kind=rk),	intent(in)			::	dens	density

Return Value real(kind=rk), (3)

momentum

private pure function get_kineticEnergy_from_vel_dens_compressible(vel, dens) result(scalar)

function pointer to get kineticEnergy from vel and density for any stencil

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	vel(:)	velocity
real(kind=rk),	intent(in)			::	dens	density

Return Value real(kind=rk)

kineticEnergy

private pure function get_kineticEnergy_from_vel_dens_incompressible(vel, dens) result(scalar)

function pointer to get kineticEnergy from vel and density for any stencil

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	vel(:)	velocity
real(kind=rk),	intent(in)			::	dens	density

Return Value real(kind=rk)

kineticEnergy

private pure function get_rho0Inv_compressible(dens) result(inv_rho0)

function pointer to get kineticEnergy from vel and density for any stencil

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	dens	density

Return Value real(kind=rk)

kineticEnergy

private pure function get_rho0Inv_incompressible(dens) result(inv_rho0)

function pointer to get kineticEnergy from vel and density for any stencil

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	dens	density

Return Value real(kind=rk)

kineticEnergy

mus_scheme_derived_quantities_module Module

Contents

Abstract Interfaces

Derived Types

Functions

Uses

Used by

Abstract Interfaces

abstract interface

private pure function get_pdfEq(rho, vel, QQ, cxDirRK, weight) result(fEq)

Arguments

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

abstract interface

private pure function get_pdfEq_iDir(rho, vel, iDir, cxDirRK, weight) result(fEq)

Arguments

Return Value real(kind=rk)

abstract interface

private pure function get_vel_from_pdf(pdf, dens, cxDirRK) result(vel)

Arguments

Return Value real(kind=rk), (3)

abstract interface

private pure function get_vel_from_pdf_vectorized(pdf, dens, cxDirRK, nSolve) result(vel)

Arguments

Return Value real(kind=rk), (3,vlen)

abstract interface

private pure function get_vector_from_vel_dens(vel, dens) result(vector)

Arguments

Return Value real(kind=rk), (3)

abstract interface

private pure function get_scalar_from_vel_dens(vel, dens) result(scalar)

Arguments

Return Value real(kind=rk)

abstract interface

private pure function get_rho0Inv(dens) result(inv_rho0)

Arguments

Return Value real(kind=rk)

Derived Types

type, public :: mus_scheme_derived_quantities_type

Components

Functions

public function mus_assign_derived_functions_ptr(label_stencil, label_fluid) result(getQuantities)

Arguments

Return Value type(mus_scheme_derived_quantities_type)

private pure function get_pdfEq_incompressible_iDir(rho, vel, iDir, cxDirRK, weight) result(fEq)

Arguments

Return Value real(kind=rk)

private pure function get_pdfEq_compressible_iDir(rho, vel, iDir, cxDirRK, weight) result(fEq)

Arguments

Return Value real(kind=rk)

private pure function get_pdfEq_incompressible(rho, vel, QQ, cxDirRK, weight) result(fEq)

Arguments

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

private pure function get_pdfEq_compressible(rho, vel, QQ, cxDirRK, weight) result(fEq)

Arguments

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

private pure function get_sigma_d2q9(vel) result(sigma)

Arguments

Return Value real(kind=rk), (9)

private pure function get_pdfEq_d2q9(rho, vel, QQ, cxDirRK, weight) result(fEq)

Arguments

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

private pure function get_pdfEq_incomp_d2q9(rho, vel, QQ, cxDirRK, weight) result(fEq)

Arguments

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

private pure function get_sigma_d3q19(vel) result(sigma)

Arguments

Return Value real(kind=rk), (22)

private pure function get_pdfEq_d3q19(rho, vel, QQ, cxDirRK, weight) result(fEq)

Arguments

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

private pure function get_pdfEq_incomp_d3q19(rho, vel, QQ, cxDirRK, weight) result(fEq)

Arguments

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

private pure function get_sigma_d3q27(vel) result(sigma)

Arguments

Return Value real(kind=rk), (34)

private pure function get_pdfEq_d3q27(rho, vel, QQ, cxDirRK, weight) result(fEq)

Arguments

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

private pure function get_pdfEq_incomp_d3q27(rho, vel, QQ, cxDirRK, weight) result(fEq)