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! Copyright (C) 2008 Imperial College London and others.
!
! Please see the AUTHORS file in the main source directory for a full list
! of copyright holders.
!
! Prof. C Pain
! Applied Modelling and Computation Group
! Department of Earth Science and Engineering
! Imperial College London
!
! amcgsoftware@imperial.ac.uk
!
! This library is free software; you can redistribute it and/or
! modify it under the terms of the GNU Lesser General Public
! License as published by the Free Software Foundation,
! version 2.1 of the License.
!
! This library is distributed in the hope that it will be useful,
! but WITHOUT ANY WARRANTY; without even the implied warranty of
! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
! Lesser General Public License for more details.
!
! You should have received a copy of the GNU Lesser General Public
! License along with this library; if not, write to the Free Software
! Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307
! USA
#include "fdebug.h"
module les_viscosity_module
!!< This module contains several subroutines and functions used to implement LES models
use state_module
use fields
use field_options
use spud
use global_parameters, only: FIELD_NAME_LEN, OPTION_PATH_LEN
use smoothing_module
use vector_tools
use fetools
implicit none
private
public les_viscosity_strength, wale_viscosity_strength
public les_init_diagnostic_tensor_fields, les_set_diagnostic_tensor_fields, leonard_tensor, les_strain_rate
contains
subroutine les_init_diagnostic_tensor_fields(state, have_eddy_visc, have_strain, have_filtered_strain, have_filter_width)
type(state_type), intent(inout) :: state
type(tensor_field), pointer :: tensorfield
logical :: have_eddy_visc, have_strain, have_filtered_strain, have_filter_width
ewrite(2,*) "Initialising optional dynamic LES diagnostic fields"
! Filter width
if(have_filter_width) then
tensorfield => extract_tensor_field(state, "FilterWidth")
call zero(tensorfield)
end if
! Strain rate field S1
if(have_strain) then
tensorfield => extract_tensor_field(state, "StrainRate")
call zero(tensorfield)
end if
! Filtered strain rate field S2
if(have_filtered_strain) then
tensorfield => extract_tensor_field(state, "FilteredStrainRate")
call zero(tensorfield)
end if
! Eddy viscosity field m_ij
if(have_eddy_visc) then
tensorfield => extract_tensor_field(state, "EddyViscosity")
call zero(tensorfield)
end if
end subroutine les_init_diagnostic_tensor_fields
subroutine les_set_diagnostic_tensor_fields(state, nu, ele, detwei, &
mesh_size_gi, strain_gi, t_strain_gi, les_tensor_gi, &
have_eddy_visc, have_strain, have_filtered_strain, have_filter_width)
type(state_type), intent(inout) :: state
type(vector_field), intent(in) :: nu
integer, intent(in) :: ele
real, dimension(ele_ngi(nu,ele)), intent(in) :: detwei
real, dimension(nu%dim,nu%dim,ele_ngi(nu,ele)),intent(in) &
& :: strain_gi, t_strain_gi, mesh_size_gi, les_tensor_gi
logical, intent(in) :: have_eddy_visc, have_strain, have_filtered_strain, have_filter_width
type(tensor_field), pointer :: tensorfield
real, dimension(nu%dim,nu%dim,ele_loc(nu,ele)) :: tensor_loc
! Eddy viscosity field m_ij
if(have_eddy_visc) then
tensorfield => extract_tensor_field(state, "EddyViscosity")
tensor_loc=shape_tensor_rhs(ele_shape(nu, ele), les_tensor_gi, detwei)
call addto(tensorfield, ele_nodes(nu, ele), tensor_loc)
end if
! Strain rate field S1
if(have_strain) then
tensorfield => extract_tensor_field(state, "StrainRate")
tensor_loc=shape_tensor_rhs(ele_shape(nu, ele), strain_gi, detwei)
call addto(tensorfield, ele_nodes(nu, ele), tensor_loc)
end if
! Filtered strain rate field S2
if(have_filtered_strain) then
tensorfield => extract_tensor_field(state, "FilteredStrainRate")
tensor_loc=shape_tensor_rhs(ele_shape(nu, ele), t_strain_gi, detwei)
call addto(tensorfield, ele_nodes(nu, ele), tensor_loc)
end if
! Filter width
if(have_filter_width) then
tensorfield => extract_tensor_field(state, "FilterWidth")
tensor_loc=shape_tensor_rhs(ele_shape(nu, ele), mesh_size_gi, detwei)
call addto(tensorfield, ele_nodes(nu, ele), tensor_loc)
end if
end subroutine les_set_diagnostic_tensor_fields
subroutine leonard_tensor(nu, positions, tnu, leonard, alpha, path)
! Unfiltered velocity
type(vector_field), pointer :: nu
type(vector_field), intent(in) :: positions
! Filtered velocity
type(vector_field), pointer :: tnu
! Leonard tensor field
type(tensor_field), pointer :: leonard
! Scale factor: test filter/mesh size
real, intent(in) :: alpha
character(len=OPTION_PATH_LEN), intent(in):: path
! Local quantities
type(tensor_field), pointer :: ui_uj, tui_tuj
character(len=OPTION_PATH_LEN) :: lpath
integer :: i
real, dimension(:), allocatable :: u_loc
real, dimension(:,:), allocatable :: t_loc
! Path is to level above solver options
lpath = (trim(path)//"/dynamic_les")
ewrite(2,*) "filter factor alpha: ", alpha
ewrite_minmax(nu)
ewrite_minmax(tnu)
call anisotropic_smooth_vector(nu, positions, tnu, alpha, lpath)
ewrite_minmax(nu)
ewrite_minmax(tnu)
! Velocity products (ui*uj)
allocate(ui_uj); allocate(tui_tuj)
call allocate(ui_uj, nu%mesh, "NonlinearVelocityProduct")
call allocate(tui_tuj, nu%mesh, "TestNonlinearVelocityProduct")
call zero(ui_uj); call zero(tui_tuj)
! Other local variables
allocate(u_loc(nu%dim)); allocate(t_loc(nu%dim, nu%dim))
u_loc=0.0; t_loc=0.0
! Get cross products of velocities
do i=1, node_count(nu)
! Mesh filter ^r
u_loc = node_val(nu,i)
t_loc = outer_product(u_loc, u_loc)
call set( ui_uj, i, t_loc )
! Test filter ^t
u_loc = node_val(tnu,i)
! Calculate (test-filtered velocity) products: (ui^rt*uj^rt)
t_loc = outer_product(u_loc, u_loc)
call set( tui_tuj, i, t_loc )
end do
! Calculate test-filtered (velocity products): (ui^r*uj^r)^t
call anisotropic_smooth_tensor(ui_uj, positions, leonard, alpha, lpath)
! Leonard tensor field
call addto( leonard, tui_tuj, -1.0 )
! Deallocates
deallocate(u_loc, t_loc)
call deallocate(ui_uj)
call deallocate(tui_tuj)
deallocate(ui_uj); deallocate(tui_tuj)
end subroutine leonard_tensor
!subroutine les_viscosity_module_register_diagnostic
! dynamic_les_coef, dynamic_eddy_visc, dynamic_strain, dynamic_t_strain, dynamic_filter
! call register_diagnostic(dim=1, name="tensor", statistic="effectivestress", material_phase="Fluid")
! call set_diagnostic(name, statistic, material_phase, value)
!end subroutine les_viscosity_module_register_diagnostic
function les_strain_rate(du_t, nu)
!! Computes the strain rate
!! derivative of velocity shape function (nloc x ngi x dim)
real, dimension(:,:,:), intent(in):: du_t
!! nonlinear velocity (dim x nloc)
real, dimension(:,:), intent(in):: nu
real, dimension( size(du_t,3),size(du_t,3),size(du_t,2) ):: les_strain_rate
real, dimension(size(du_t,3),size(du_t,3)):: s
integer dim, ngi, gi
ngi=size(du_t,2)
dim=size(du_t,3)
do gi=1, ngi
s=0.5*matmul( nu, du_t(:,gi,:) )
les_strain_rate(:,:,gi)=s+transpose(s)
end do
end function les_strain_rate
function les_viscosity_strength(du_t, relu)
!! Computes the strain rate modulus for the LES model
!! derivative of velocity shape function (nloc x ngi x dim)
real, dimension(:,:,:), intent(in):: du_t
!! relative velocity (nonl. vel.- grid vel.) (dim x nloc)
real, dimension(:,:), intent(in):: relu
real, dimension( size(du_t,2) ):: les_viscosity_strength
real, dimension(size(du_t,3),size(du_t,3)):: s
real vis
integer dim, ngi, gi
ngi=size(du_t,2)
dim=size(du_t,3)
do gi=1, ngi
s=0.5*matmul( relu, du_t(:,gi,:) )
s=s+transpose(s)
! Calculate modulus of strain rate
vis=sqrt( 2*sum( s**2 ) )
les_viscosity_strength(gi)=vis
end do
end function les_viscosity_strength
function wale_viscosity_strength(du_t, relu)
!! Computes the traceless symmetric part of the square of
!! the resolved velocity gradient tensor for the LES model
!! See a WALE paper for more (G_{ij})
!! derivative of velocity shape function (nloc x ngi x dim)
real, dimension(:,:,:), intent(in):: du_t
!! relative velocity (nonl. vel.- grid vel.) (dim x nloc)
real, dimension(:,:), intent(in):: relu
real, dimension( size(du_t,2) ):: wale_viscosity_strength
real, dimension(size(du_t,3),size(du_t,3)):: s, g
real vis
integer dim, ngi, gi, i
ngi=size(du_t,2)
dim=size(du_t,3)
do gi=1, ngi
s=matmul( relu, du_t(:,gi,:) )
g=0.5*matmul(s,s)
g=g+transpose(g)
forall(i=1:dim) g(i,i)=0.
vis=sqrt( 2*sum( g**2 ) )
wale_viscosity_strength(gi)=vis
end do
end function wale_viscosity_strength
end module les_viscosity_module
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