mus_Smagorinsky_module Module

This module contains function to compute eddy viscosity for Smagorinsky les turbulence model. author: Kannan Masilamani


Uses


Subroutines

public subroutine mus_turbVisc_Smagorinsky_fromGradU3D(turbVisc, turbConfig, gradData, auxField, velPos, nSolve, nAuxScalars, dxL, dtL, Grad)

Calculate eddy viscosity with smagorinsky model for compressible model using gradient of velocity Reference paper: https://link.springer.com/content/pdf/10.1007/s10494-012-9405-0.pdf?pdf=button The formula is taken from https://caefn.com/openfoam/smagorinsky-sgs-model nu_t = C_k delta sqrt(k_sgs) k_sgs = ((-b+sqrt(b^2+4ac))/2a)^2 a = C_e/delta, b=2/3 tr(dev(Strain)), c = 2 C_k delta (dev(Strain):Strain)

Arguments

Type IntentOptional Attributes Name
real(kind=rk), intent(out) :: turbVisc(:)

output: turbulent viscosity
type(mus_turbulence_config_type), intent(in) :: turbConfig

Contains turbulenct coefficients
type(mus_gradData_type), intent(in) :: gradData

gradient data
real(kind=rk), intent(in) :: auxField(:)

Auxiliary field variable array
integer, intent(in) :: velPos(3)

position of velocity components in auxField
integer, intent(in) :: nSolve

Number of element to solve in this level
integer, intent(in) :: nAuxScalars

number of scalars in auxField array
real(kind=rk), intent(in) :: dxL

current level lattice element size
real(kind=rk), intent(in) :: dtL

current level lattice time step size
type(mus_Grad_type), intent(in) :: Grad

Object that contains pointers to calculate gradients

public subroutine mus_turbVisc_Smagorinsky_fromGradU2D(turbVisc, turbConfig, gradData, auxField, velPos, nSolve, nAuxScalars, dxL, dtL, Grad)

Calculate eddy viscosity with smagorinsky model for compressible model using gradient of velocity for 2D layout

Arguments

Type IntentOptional Attributes Name
real(kind=rk), intent(out) :: turbVisc(:)

output: turbulent viscosity
type(mus_turbulence_config_type), intent(in) :: turbConfig

Contains turbulenct coefficients
type(mus_gradData_type), intent(in) :: gradData

gradient data
real(kind=rk), intent(in) :: auxField(:)

Auxiliary field variable array
integer, intent(in) :: velPos(3)

position of velocity components in auxField
integer, intent(in) :: nSolve

Number of element to solve in this level
integer, intent(in) :: nAuxScalars

number of scalars in auxField array
real(kind=rk), intent(in) :: dxL

current level lattice element size
real(kind=rk), intent(in) :: dtL

current level lattice time step size
type(mus_Grad_type), intent(in) :: Grad

Object that contains pointers to calculate gradients

public subroutine mus_turbVisc_Smagorinsky_fromGradU3D_incomp(turbVisc, turbConfig, gradData, auxField, velPos, nSolve, nAuxScalars, dxL, dtL, Grad)

Calculate eddy viscosity with smagorinsky model for incompressible model using gradient of velocity

Arguments

Type IntentOptional Attributes Name
real(kind=rk), intent(out) :: turbVisc(:)

output: turbulent viscosity
type(mus_turbulence_config_type), intent(in) :: turbConfig

Contains turbulenct coefficients
type(mus_gradData_type), intent(in) :: gradData

gradient data
real(kind=rk), intent(in) :: auxField(:)

Auxiliary field variable array
integer, intent(in) :: velPos(3)

position of velocity components in auxField
integer, intent(in) :: nSolve

Number of element to solve in this level
integer, intent(in) :: nAuxScalars

number of scalars in auxField array
real(kind=rk), intent(in) :: dxL

current level lattice element size
real(kind=rk), intent(in) :: dtL

current level lattice time step size
type(mus_Grad_type), intent(in) :: Grad

Object that contains pointers to calculate gradients

public subroutine mus_turbVisc_Smagorinsky_fromGradU2D_incomp(turbVisc, turbConfig, gradData, auxField, velPos, nSolve, nAuxScalars, dxL, dtL, Grad)

Calculate eddy viscosity with smagorinsky model for incompressible model using gradient of velocity for 2D layout

Arguments

Type IntentOptional Attributes Name
real(kind=rk), intent(out) :: turbVisc(:)

output: turbulent viscosity
type(mus_turbulence_config_type), intent(in) :: turbConfig

Contains turbulenct coefficients
type(mus_gradData_type), intent(in) :: gradData

gradient data
real(kind=rk), intent(in) :: auxField(:)

Auxiliary field variable array
integer, intent(in) :: velPos(3)

position of velocity components in auxField
integer, intent(in) :: nSolve

Number of element to solve in this level
integer, intent(in) :: nAuxScalars

number of scalars in auxField array
real(kind=rk), intent(in) :: dxL

current level lattice element size
real(kind=rk), intent(in) :: dtL

current level lattice time step size
type(mus_Grad_type), intent(in) :: Grad

Object that contains pointers to calculate gradients

public subroutine mus_turbVisc_Smagorinsky_fromPreColPDF_3D(turbVisc, turbConfig, state, neigh, auxField, densPos, velPos, nSize, nSolve, nScalars, nAuxScalars, layout, dxL, dtL, viscKine)

Calculate eddy viscosity with smagorinsky model for compressible model using pre-collision PDF. Schneider, A. (2015). A Consistent Large Eddy Approach for Lattice Boltzmann Methods and its Application to Complex Flows. Technical University Kaiserslautern.

Arguments

Type IntentOptional Attributes Name
real(kind=rk), intent(out) :: turbVisc(:)

output: turbulent viscosity
type(mus_turbulence_config_type), intent(in) :: turbConfig

Contains turbulenct coefficients
real(kind=rk), intent(in) :: state(:)

state array
integer, intent(in) :: neigh(:)

neigh array to obtain precollision pdf
real(kind=rk), intent(in) :: auxField(:)

Auxiliary field variable array
integer, intent(in) :: densPos

position of density in auxField
integer, intent(in) :: velPos(3)

position of velocity components in auxField
integer, intent(in) :: nSize

number of elements in state array
integer, intent(in) :: nSolve

Number of element to solve in this level
integer, intent(in) :: nScalars

number of scalars in state array
integer, intent(in) :: nAuxScalars

number of scalars in auxField array
type(mus_scheme_layout_type), intent(in) :: layout

scheme layout
real(kind=rk), intent(in) :: dxL

current level lattice element size
real(kind=rk), intent(in) :: dtL

current level lattice time step size
real(kind=rk), intent(in) :: viscKine(:)

Background kinematic viscosity in lattice divided by dtL

public subroutine mus_turbVisc_Smagorinsky_fromPreColPDF_2D(turbVisc, turbConfig, state, neigh, auxField, densPos, velPos, nSize, nSolve, nScalars, nAuxScalars, layout, dxL, dtL, viscKine)

Calculate eddy viscosity with smagorinsky model for compressible model using pre-collision PDF. Schneider, A. (2015). A Consistent Large Eddy Approach for Lattice Boltzmann Methods and its Application to Complex Flows. Technical University Kaiserslautern.

Arguments

Type IntentOptional Attributes Name
real(kind=rk), intent(out) :: turbVisc(:)

output: turbulent viscosity
type(mus_turbulence_config_type), intent(in) :: turbConfig

Contains turbulenct coefficients
real(kind=rk), intent(in) :: state(:)

state array
integer, intent(in) :: neigh(:)

neigh array to obtain precollision pdf
real(kind=rk), intent(in) :: auxField(:)

Auxiliary field variable array
integer, intent(in) :: densPos

position of density in auxField
integer, intent(in) :: velPos(3)

position of velocity components in auxField
integer, intent(in) :: nSize

number of elements in state array
integer, intent(in) :: nSolve

Number of element to solve in this level
integer, intent(in) :: nScalars

number of scalars in state array
integer, intent(in) :: nAuxScalars

number of scalars in auxField array
type(mus_scheme_layout_type), intent(in) :: layout

scheme layout
real(kind=rk), intent(in) :: dxL

current level lattice element size
real(kind=rk), intent(in) :: dtL

current level lattice time step size
real(kind=rk), intent(in) :: viscKine(:)

Background kinematic viscosity in lattice divided by dtL

public subroutine mus_turbVisc_Smagorinsky_fromPreColPDF_incomp_3D(turbVisc, turbConfig, state, neigh, auxField, densPos, velPos, nSize, nSolve, nScalars, nAuxScalars, layout, dxL, dtL, viscKine)

Calculate eddy viscosity with smagorinsky model for incompressible model using pre-collision PDF

Arguments

Type IntentOptional Attributes Name
real(kind=rk), intent(out) :: turbVisc(:)

output: turbulent viscosity
type(mus_turbulence_config_type), intent(in) :: turbConfig

Contains turbulenct coefficients
real(kind=rk), intent(in) :: state(:)

state array
integer, intent(in) :: neigh(:)

neigh array to obtain precollision pdf
real(kind=rk), intent(in) :: auxField(:)

Auxiliary field variable array
integer, intent(in) :: densPos

position of density in auxField
integer, intent(in) :: velPos(3)

position of velocity components in auxField
integer, intent(in) :: nSize

number of elements in state array
integer, intent(in) :: nSolve

Number of element to solve in this level
integer, intent(in) :: nScalars

number of scalars in state array
integer, intent(in) :: nAuxScalars

number of scalars in auxField array
type(mus_scheme_layout_type), intent(in) :: layout

scheme layout
real(kind=rk), intent(in) :: dxL

current level lattice element size
real(kind=rk), intent(in) :: dtL

current level lattice time step size
real(kind=rk), intent(in) :: viscKine(:)

Background kinematic viscosity in lattice divided by dtL

public subroutine mus_turbVisc_Smagorinsky_fromPreColPDF_incomp_2D(turbVisc, turbConfig, state, neigh, auxField, densPos, velPos, nSize, nSolve, nScalars, nAuxScalars, layout, dxL, dtL, viscKine)

Calculate eddy viscosity with smagorinsky model for incompressible model using pre-collision PDF

Arguments

Type IntentOptional Attributes Name
real(kind=rk), intent(out) :: turbVisc(:)

output: turbulent viscosity
type(mus_turbulence_config_type), intent(in) :: turbConfig

Contains turbulenct coefficients
real(kind=rk), intent(in) :: state(:)

state array
integer, intent(in) :: neigh(:)

neigh array to obtain precollision pdf
real(kind=rk), intent(in) :: auxField(:)

Auxiliary field variable array
integer, intent(in) :: densPos

position of density in auxField
integer, intent(in) :: velPos(3)

position of velocity components in auxField
integer, intent(in) :: nSize

number of elements in state array
integer, intent(in) :: nSolve

Number of element to solve in this level
integer, intent(in) :: nScalars

number of scalars in state array
integer, intent(in) :: nAuxScalars

number of scalars in auxField array
type(mus_scheme_layout_type), intent(in) :: layout

scheme layout
real(kind=rk), intent(in) :: dxL

current level lattice element size
real(kind=rk), intent(in) :: dtL

current level lattice time step size
real(kind=rk), intent(in) :: viscKine(:)

Background kinematic viscosity in lattice divided by dtL