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Data_Type_SBlock.f90
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Data_Type_SBlock.f90
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!> @ingroup DerivedType
!> @{
!> @defgroup Data_Type_SBlockDerivedType Data_Type_SBlock
!> Module definition of Type_SBlock
!> @}
!> @ingroup Interface
!> @{
!> @defgroup Data_Type_SBlockInterface Data_Type_SBlock
!> Module definition of Type_SBlock
!> @}
!> @ingroup PrivateProcedure
!> @{
!> @defgroup Data_Type_SBlockPrivateProcedure Data_Type_SBlock
!> Module definition of Type_SBlock
!> @}
!> @brief Module Data_Type_SBlock contains the definition of Type_SBlock (structured block) type and useful procedures for its
!> handling.
module Data_Type_SBlock
!-----------------------------------------------------------------------------------------------------------------------------------
USE IR_Precision ! Integers and reals precision definition.
USE Data_Type_BC, only: Type_BC ! Definition of Type_BC.
USE Data_Type_Block_BC, only: Type_Block_BC ! Definition of Type_Block_BC.
USE Data_Type_Block_Dimensions, only: Type_Block_Dimensions ! Definition of Type_Block_Dimensions.
USE Data_Type_Block_Extents, only: Type_Block_Extents ! Definition of Type_Block_Extents.
USE Data_Type_Cell, only: Type_Cell ! Definition of Type_Cell.
USE Data_Type_Conservative, only: Type_Conservative ! Definition of Type_Conservative.
USE Data_Type_Face, only: Type_Face ! Definition of Type_Face.
USE Data_Type_Primitive, only: Type_Primitive ! Definition of Type_Primitive.
USE Data_Type_Region, only: Type_Region ! Definition of Type_Region.
USE Data_Type_Species, only: Type_Species ! Definition of Type_Species.
USE Data_Type_Space_Step, only: Type_Space_Step ! Definition of Type_Space_Step.
USE Data_Type_Time_Step, only: Type_Time_Step ! Definition of Type_Time_Step.
USE Data_Type_Tree, only: Type_Tree ! Definition of Type_Tree.
USE Data_Type_Vector, only: Type_Vector,ex,ey,ez ! Definition of Type_Vector.
USE Lib_Fluxes_Convective, only: fluxes_convective ! Procedure for convective fluxes.
USE Lib_Strings, only: Upper_Case ! Library for strings operations.
USE Lib_Math, only: abs_grad ! Procedures for computing the absolute value of gradient.
USE Lib_Runge_Kutta, only: rk_stage,rk_time_integ ! Runge-Kutta time integration library.
USE Lib_Thermodynamic_Laws_Ideal, only: a ! Procedure for computing speed of sound.
USE Lib_Variables_Conversions, only: cons2prim ! Pocedures for varibles set conversions.
!-----------------------------------------------------------------------------------------------------------------------------------
!-----------------------------------------------------------------------------------------------------------------------------------
implicit none
private
!-----------------------------------------------------------------------------------------------------------------------------------
!-----------------------------------------------------------------------------------------------------------------------------------
!> @brief Derived type containing structured block-level data.
!> Structured block-level type contains data (mesh, boundary conditions and fluid dynamic data) of structured (implicit
!> connectivity) numerical grid. A structured block is an hexahedron with quadrilateral faces ussing the following internal
!> numeration for vertices and faces:
!> @code
!> /|\Y
!> | F(4) _ F(6)
!> | /|\ /!
!> | 7 | / 8
!> | *------------------*
!> | /| | / /|
!> | / | | / / |
!> | / | | / / |
!> | / | | / / |
!> | / | | + / |
!> | / | | / |
!> | / | + / |
!> | / 5| / |6
!> | / * --------/--------*
!> | F(1)<----/----+ / / /
!> | *------------------* +-------->F(2)
!> | 3| / |4 /
!> | | / | /
!> | | / + | /
!> | | / | | /
!> | | / + | | /
!> | | / / | | /
!> | | / / | | /
!> | |/ / | |/
!> | *------------------*
!> | 1 / | 2
!> | / \|/
!> | _ Z |/_ F(3)
!> | /| F(5)
!> | /
!> | /
!> |/ X
!> o----------------------------------------------------->
!> @endcode
!> @ingroup Data_Type_SBlockDerivedType
type, public:: Type_SBlock
! Block global data
type(Type_Block_Extents):: exts !< Block extents, i.e. bounding box diagonal.
type(Type_Block_BC):: BC !< Block (faces) boundary conditions.
type(Type_Primitive):: IC !< Block initial conditions.
type(Type_Block_Dimensions):: dims !< Block dimensions (gc,Ni,Nj,Nk,...).
! Block cells data
type(Type_Vector), allocatable:: node(:,:,:) !< Nodes coord. [0-gc(1):Ni+gc(2),0-gc(3):Nj+gc(4),0-gc(5):Nk+gc(6)].
type(Type_Face), allocatable:: Fi(:,:,:) !< Faces i data [0-gc(1):Ni+gc(2),1-gc(3):Nj+gc(4),1-gc(5):Nk+gc(6)].
type(Type_Face), allocatable:: Fj(:,:,:) !< Faces j data [1-gc(1):Ni+gc(2),0-gc(3):Nj+gc(4),1-gc(5):Nk+gc(6)].
type(Type_Face), allocatable:: Fk(:,:,:) !< Faces k data [1-gc(1):Ni+gc(2),1-gc(3):Nj+gc(4),0-gc(5):Nk+gc(6)].
type(Type_Cell), allocatable:: C(:,:,:) !< Cells data [1-gc(1):Ni+gc(2),1-gc(3):Nj+gc(4),1-gc(5):Nk+gc(6)].
contains
procedure:: free => free_block ! Procedure for freeing dynamic memory.
procedure:: alloc => alloc_block ! Procedure for allocating memory.
procedure:: interpolate_primitive ! Procedure for interpolating primitive variables at nodes.
procedure:: metrics => metrics_block ! Procedure for computing block metrics.
procedure:: metrics_correction => metrics_correction_block ! Procedure for correcting block metrics of bc cells.
procedure:: node2center => node2center_block ! Procedure for computing cell center coo from cell nodes.
procedure:: min_space_step => min_space_step_block ! Procedure for computing the minimum value of space step.
procedure:: create_uniform_grid ! Procedure for creating a uniform grid provided block extents.
procedure:: create_grid_from_finer ! Procedure for creating the grid from the grid of a finer block.
procedure:: compute_schlieren ! Procedure for computing (pseudo) Schlieren flow field.
procedure:: set_cells_bc ! Procedure for setting cells boundary conditions from block ones.
procedure:: set_region_ic ! Procedure for setting initial condition in a region of block.
procedure:: primitive2conservative ! Procedure for converting primitive to conservative variables.
procedure:: conservative2primitive ! Procedure for converting conservative to primitive variables.
procedure:: update_primitive ! Procedure for updating primitive variables of all cells of a block.
procedure:: compute_time ! Procedure for evaluating the local and global time step value.
procedure:: residuals ! Procedure for computing the residuals.
procedure:: rk_stages_sum ! Procedure for summing Runge-Kutta stages.
procedure:: rk_time_integration ! Procedure for computing Runge-Kutta one time step integration.
procedure:: load => load_block ! Procedure for loading block.
procedure:: save => save_block ! Procedure for saving block.
procedure:: print => print_block ! Procedure for printing block infos with pretty format.
procedure:: print_info_mesh ! Procedure for printing block mesh infos with pretty format.
procedure:: print_info_bc ! Procedure for printing block bc infos with pretty format.
procedure:: print_info_fluid ! Procedure for printing block fluid infos with pretty format.
procedure:: mirror ! Procedure for generating a mirrored block.
final:: finalize ! Procedure for freeing dynamic memory when finalizing.
! operators overloading
generic:: assignment(=) => assign_blk
! private procedures
procedure, pass(blk1), private:: assign_blk
endtype Type_SBlock
!-----------------------------------------------------------------------------------------------------------------------------------
contains
!> @ingroup Data_Type_SBlockPrivateProcedure
!> @{
!> @brief Procedure for freeing dynamic memory.
!> @note If this procedure is called without dummy arguments all dynamic memory variables are deallocated.
elemental subroutine free_block(block,global_data,cells_data)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
class(Type_SBlock), intent(INOUT):: block !< Block data.
logical, optional, intent(IN):: global_data !< Switch for freeing only global block data.
logical, optional, intent(IN):: cells_data !< Switch for freeing only cells data array.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
if (present(global_data)) then
if (global_data) call free_global_data(block)
endif
if (present(cells_data)) then
if (cells_data) call free_cells_data(block)
endif
if ((.not.present(global_data)).and.(.not.present(cells_data))) then
call free_global_data(block)
call free_cells_data(block)
endif
return
!---------------------------------------------------------------------------------------------------------------------------------
contains
!> @brief Procedure for freeing dynamic memory of global data of block.
elemental subroutine free_global_data(block)
!-------------------------------------------------------------------------------------------------------------------------------
implicit none
class(Type_SBlock), intent(INOUT):: block !< Block data.
!-------------------------------------------------------------------------------------------------------------------------------
!-------------------------------------------------------------------------------------------------------------------------------
call block%BC%free
call block%IC%free
return
!-------------------------------------------------------------------------------------------------------------------------------
endsubroutine free_global_data
!> @brief Procedure for freeing dynamic memory of cells data of block.
elemental subroutine free_cells_data(block)
!-------------------------------------------------------------------------------------------------------------------------------
implicit none
class(Type_SBlock), intent(INOUT):: block !< Block data.
!-------------------------------------------------------------------------------------------------------------------------------
!-------------------------------------------------------------------------------------------------------------------------------
if (allocated(block%node)) deallocate(block%node)
if (allocated(block%Fi)) then
call block%Fi%free ; deallocate(block%Fi)
endif
if (allocated(block%Fj)) then
call block%Fj%free ; deallocate(block%Fj)
endif
if (allocated(block%Fk)) then
call block%Fk%free ; deallocate(block%Fk)
endif
if (allocated(block%C)) then
call block%C%free ; deallocate(block%C)
endif
return
!-------------------------------------------------------------------------------------------------------------------------------
endsubroutine free_cells_data
endsubroutine free_block
!> @brief Procedure for freeing dynamic memory when finalizing.
elemental subroutine finalize(block)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
type(Type_SBlock), intent(INOUT):: block !< Block data.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
call block%free
return
!---------------------------------------------------------------------------------------------------------------------------------
endsubroutine finalize
!> @brief Procedure for allocating dynamic memory.
elemental subroutine alloc_block(block,members)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
class(Type_SBlock), intent(INOUT):: block !< Block data.
logical, optional, intent(IN):: members !< Switch for allocating members memory (actually only C data).
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
if (present(members)) then
if (members) call block%C%alloc( Ns=block%dims%Ns,Nrk=block%dims%Nrk)
!if (members) call block%IC%alloc(Ns=block%dims%Ns)
else
call block%free(cells_data=.true.)
associate(gc => block%dims%gc(1:6),Ni => block%dims%Ni,Nj => block%dims%Nj,Nk => block%dims%Nk)
allocate(block%node(0-gc(1):Ni+gc(2),0-gc(3):Nj+gc(4),0-gc(5):Nk+gc(6)))
allocate(block%Fi (0-gc(1):Ni+gc(2),1-gc(3):Nj+gc(4),1-gc(5):Nk+gc(6)))
allocate(block%Fj (1-gc(1):Ni+gc(2),0-gc(3):Nj+gc(4),1-gc(5):Nk+gc(6)))
allocate(block%Fk (1-gc(1):Ni+gc(2),1-gc(3):Nj+gc(4),0-gc(5):Nk+gc(6)))
allocate(block%C (1-gc(1):Ni+gc(2),1-gc(3):Nj+gc(4),1-gc(5):Nk+gc(6)))
endassociate
endif
return
!---------------------------------------------------------------------------------------------------------------------------------
endsubroutine alloc_block
!> @brief Procedure for interpolating primitive variables at nodes.
pure subroutine interpolate_primitive(block,primN)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
class(Type_SBlock), intent(IN):: block !< Block data.
type(Type_Primitive), allocatable, intent(INOUT):: primN(:,:,:) !< Nodes-interpolated primitive variables.
type(Type_Primitive), allocatable:: primC(:,:,:) !< Cell (original) primitive variables.
real(R8P):: mf !< Mean factor.
integer(I4P):: i,j,k !< Counters.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
associate(Ni=>block%dims%Ni,Nj=>block%dims%Nj,Nk=>block%dims%Nk,Ns=>block%dims%Ns)
if (allocated(primN)) deallocate(primN) ; allocate(primN(0:Ni, 0:Nj, 0:Nk ))
allocate(primC(0:Ni+1,0:Nj+1,0:Nk+1))
call primN%alloc(Ns=Ns)
primC = block%C(0:Ni+1,0:Nj+1,0:Nk+1)%P
#if !defined NULi && !defined NULj && !defined NULk
! 3D data
mf = 0.125_R8P
#elif defined NULi
primC(0 ,:,:) = 0._R8P
primC(Ni+1,:,:) = 0._R8P
#if !defined NULj && !defined NULk
! 2D data
mf = 0.25_R8P
#elif defined NULj
! 1D data
mf = 0.5_R8P
primC(:,0 ,:) = 0._R8P
primC(:,Nj+1,:) = 0._R8P
#elif defined NULk
! 1D data
mf = 0.5_R8P
primC(:,:,0 ) = 0._R8P
primC(:,:,Nk+1) = 0._R8P
#endif
#elif defined NULj
primC(:,0 ,:) = 0._R8P
primC(:,Nj+1,:) = 0._R8P
#if !defined NULi && !defined NULk
! 2D data
mf = 0.25_R8P
#elif defined NULi
! 1D data
mf = 0.5_R8P
primC(0 ,:,:) = 0._R8P
primC(Ni+1,:,:) = 0._R8P
#elif defined NULk
! 1D data
mf = 0.5_R8P
primC(:,:,0 ) = 0._R8P
primC(:,:,Nk+1) = 0._R8P
#endif
#elif defined NULk
primC(:,:,0 ) = 0._R8P
primC(:,:,Nk+1) = 0._R8P
#if !defined NULi && !defined NULj
! 2D data
mf = 0.25_R8P
#elif defined NULi
! 1D data
mf = 0.5_R8P
primC(0 ,:,:) = 0._R8P
primC(Ni+1,:,:) = 0._R8P
#elif defined NULj
! 1D data
mf = 0.5_R8P
primC(:,0 ,:) = 0._R8P
primC(:,Nj+1,:) = 0._R8P
#endif
#endif
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP PRIVATE(i,j,k) &
!$OMP SHARED(Ni,Nj,Nk,primN,primC,mf)
!$OMP DO
do k=0,Nk
do j=0,Nj
do i=0,Ni
primN(i,j,k) = primC(i+1,j+1,k+1) + primC(i,j+1,k+1) &
+ primC(i+1,j ,k+1) + primC(i,j, k+1) &
+ primC(i+1,j+1,k ) + primC(i,j+1,k ) &
+ primC(i+1,j ,k ) + primC(i,j ,k )
primN(i,j,k) = mf*primN(i,j,k)
enddo
enddo
enddo
!$OMP END PARALLEL
deallocate(primC)
endassociate
return
!---------------------------------------------------------------------------------------------------------------------------------
endsubroutine interpolate_primitive
!> @brief Procedure for computing the metrics of structured block.
elemental subroutine metrics_block(block)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
class(Type_SBlock), intent(INOUT):: block !< Block-level data.
type(Type_Vector):: NFS,s1,s2,nd,db !< Dummy vector variables.
real(R8P):: signi,signj,signk !< Dummy variables for checking the directions of normals.
real(R8P):: Vx,Vy,Vz !< Dummy variables for computing volume.
real(R8P):: xp,yp,zp !< Dummy variables for computing face coordinates.
real(R8P):: xm,ym,zm !< Dummy variables for computing face coordinates.
integer(I4P):: i,j,k !< Counters.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
! computing faces normals
! positioning at the middle of the block
i = max(1,block%dims%Ni)
j = max(1,block%dims%Nj)
k = max(1,block%dims%Nk)
! checking the direction of i normals
s1 = block%node(i,j ,k) - block%node(i,j-1,k-1)
s2 = block%node(i,j-1,k) - block%node(i,j, k-1)
nd = s1.cross.s2
s1 = 0.25_R_P*(block%node(i, j,k)+block%node(i, j-1,k)+block%node(i, j,k-1)+block%node(i, j-1,k-1))
s2 = 0.25_R_P*(block%node(i-1,j,k)+block%node(i-1,j-1,k)+block%node(i-1,j,k-1)+block%node(i-1,j-1,k-1))
db = s1 - s2
signi = sign(1._R_P,(nd.dot.db))
! checking the direction of j normals
s1 = block%node(i,j,k ) - block%node(i-1,j,k-1)
s2 = block%node(i,j,k-1) - block%node(i-1,j,k )
nd = s1.cross.s2
s1 = 0.25_R_P*(block%node(i,j, k)+block%node(i-1,j, k)+block%node(i,j, k-1)+block%node(i-1,j, k-1))
s2 = 0.25_R_P*(block%node(i,j-1,k)+block%node(i-1,j-1,k)+block%node(i,j-1,k-1)+block%node(i-1,j-1,k-1))
db = s1 - s2
signj = sign(1._R_P,(nd.dot.db))
! checking the direction of k normals
s1 = block%node(i, j,k) - block%node(i-1,j-1,k)
s2 = block%node(i-1,j,k) - block%node(i, j-1,k)
nd = s1.cross.s2
s1 = 0.25_R_P*(block%node(i,j,k )+block%node(i-1,j,k )+block%node(i,j-1,k )+block%node(i-1,j-1,k ))
s2 = 0.25_R_P*(block%node(i,j,k-1)+block%node(i-1,j,k-1)+block%node(i,j-1,k-1)+block%node(i-1,j-1,k-1))
db = s1 - s2
signk = sign(1._R_P,(nd.dot.db))
!!$OMP PARALLEL DEFAULT(NONE) &
!!$OMP PRIVATE(i,j,k,NFS,Vx,Vy,Vz,xp,yp,zp,xm,ym,zm) &
!!$OMP SHARED(block,signi,signj,signk)
!!$OMP DO
do k=1,block%dims%Nk
do j=1,block%dims%Nj
do i=0,block%dims%Ni
call NFS%face_normal4(pt1 = block%node(i,j-1,k-1), &
pt2 = block%node(i,j ,k-1), &
pt3 = block%node(i,j ,k ), &
pt4 = block%node(i,j-1,k ))
NFS = NFS*signi
block%Fi(i,j,k)%N = NFS%normalized()
block%Fi(i,j,k)%S = NFS%normL2()
enddo
enddo
enddo
!!$OMP DO
do k=1,block%dims%Nk
do j=0,block%dims%Nj
do i=1,block%dims%Ni
call NFS%face_normal4(pt1 = block%node(i-1,j,k-1), &
pt2 = block%node(i-1,j,k ), &
pt3 = block%node(i ,j,k ), &
pt4 = block%node(i ,j,k-1))
NFS = NFS*signj
block%Fj(i,j,k)%N = NFS%normalized()
block%Fj(i,j,k)%S = NFS%normL2()
enddo
enddo
enddo
!!$OMP DO
do k=0,block%dims%Nk
do j=1,block%dims%Nj
do i=1,block%dims%Ni
call NFS%face_normal4(pt1 = block%node(i-1,j-1,k), &
pt2 = block%node(i ,j-1,k), &
pt3 = block%node(i ,j ,k), &
pt4 = block%node(i-1,j ,k))
NFS = NFS*signk
block%Fk(i,j,k)%N = NFS%normalized()
block%Fk(i,j,k)%S = NFS%normL2()
enddo
enddo
enddo
! computing finte volumes
!!$OMP DO
do k=1,block%dims%Nk
do j=1,block%dims%Nj
do i=1,block%dims%Ni
Vx = 0._R_P
Vy = 0._R_P
Vz = 0._R_P
xp = 0.25_R_P*(block%node(i ,j ,k )%x + block%node(i ,j ,k-1)%x + &
block%node(i ,j-1,k )%x + block%node(i ,j-1,k-1)%x)
yp = 0.25_R_P*(block%node(i ,j ,k )%y + block%node(i ,j ,k-1)%y + &
block%node(i ,j-1,k )%y + block%node(i ,j-1,k-1)%y)
zp = 0.25_R_P*(block%node(i ,j ,k )%z + block%node(i ,j ,k-1)%z + &
block%node(i ,j-1,k )%z + block%node(i ,j-1,k-1)%z)
xm = 0.25_R_P*(block%node(i-1,j ,k )%x + block%node(i-1,j ,k-1)%x + &
block%node(i-1,j-1,k )%x + block%node(i-1,j-1,k-1)%x)
ym = 0.25_R_P*(block%node(i-1,j ,k )%y + block%node(i-1,j ,k-1)%y + &
block%node(i-1,j-1,k )%y + block%node(i-1,j-1,k-1)%y)
zm = 0.25_R_P*(block%node(i-1,j ,k )%z + block%node(i-1,j ,k-1)%z + &
block%node(i-1,j-1,k )%z + block%node(i-1,j-1,k-1)%z)
Vx = Vx + xp*block%Fi(i,j,k)%N%x*block%Fi(i,j,k)%S - xm*block%Fi(i-1,j,k)%N%x*block%Fi(i-1,j,k)%S
Vy = Vy + yp*block%Fi(i,j,k)%N%y*block%Fi(i,j,k)%S - ym*block%Fi(i-1,j,k)%N%y*block%Fi(i-1,j,k)%S
Vz = Vz + zp*block%Fi(i,j,k)%N%z*block%Fi(i,j,k)%S - zm*block%Fi(i-1,j,k)%N%z*block%Fi(i-1,j,k)%S
xp = 0.25_R_P*(block%node(i ,j ,k )%x + block%node(i ,j ,k-1)%x + &
block%node(i-1,j ,k )%x + block%node(i-1,j ,k-1)%x)
yp = 0.25_R_P*(block%node(i ,j ,k )%y + block%node(i ,j ,k-1)%y + &
block%node(i-1,j ,k )%y + block%node(i-1,j ,k-1)%y)
zp = 0.25_R_P*(block%node(i ,j ,k )%z + block%node(i ,j ,k-1)%z + &
block%node(i-1,j ,k )%z + block%node(i-1,j ,k-1)%z)
xm = 0.25_R_P*(block%node(i ,j-1,k )%x + block%node(i ,j-1,k-1)%x + &
block%node(i-1,j-1,k )%x + block%node(i-1,j-1,k-1)%x)
ym = 0.25_R_P*(block%node(i ,j-1,k )%y + block%node(i ,j-1,k-1)%y + &
block%node(i-1,j-1,k )%y + block%node(i-1,j-1,k-1)%y)
zm = 0.25_R_P*(block%node(i ,j-1,k )%z + block%node(i ,j-1,k-1)%z + &
block%node(i-1,j-1,k )%z + block%node(i-1,j-1,k-1)%z)
Vx = Vx + xp*block%Fj(i,j,k)%N%x*block%Fj(i,j,k)%S - xm*block%Fj(i,j-1,k)%N%x*block%Fj(i,j-1,k)%S
Vy = Vy + yp*block%Fj(i,j,k)%N%y*block%Fj(i,j,k)%S - ym*block%Fj(i,j-1,k)%N%y*block%Fj(i,j-1,k)%S
Vz = Vz + zp*block%Fj(i,j,k)%N%z*block%Fj(i,j,k)%S - zm*block%Fj(i,j-1,k)%N%z*block%Fj(i,j-1,k)%S
xp = 0.25_R_P*(block%node(i ,j ,k )%x + block%node(i ,j-1,k )%x + &
block%node(i-1,j ,k )%x + block%node(i-1,j-1,k )%x)
yp = 0.25_R_P*(block%node(i ,j ,k )%y + block%node(i ,j-1,k )%y + &
block%node(i-1,j ,k )%y + block%node(i-1,j-1,k )%y)
zp = 0.25_R_P*(block%node(i ,j ,k )%z + block%node(i ,j-1,k )%z + &
block%node(i-1,j ,k )%z + block%node(i-1,j-1,k )%z)
xm = 0.25_R_P*(block%node(i ,j ,k-1)%x + block%node(i ,j-1,k-1)%x + &
block%node(i-1,j ,k-1)%x + block%node(i-1,j-1,k-1)%x)
ym = 0.25_R_P*(block%node(i ,j ,k-1)%y + block%node(i ,j-1,k-1)%y + &
block%node(i-1,j ,k-1)%y + block%node(i-1,j-1,k-1)%y)
zm = 0.25_R_P*(block%node(i ,j ,k-1)%z + block%node(i ,j-1,k-1)%z + &
block%node(i-1,j ,k-1)%z + block%node(i-1,j-1,k-1)%z)
Vx = Vx + xp*block%Fk(i,j,k)%N%x*block%Fk(i,j,k)%S - xm*block%Fk(i,j,k-1)%N%x*block%Fk(i,j,k-1)%S
Vy = Vy + yp*block%Fk(i,j,k)%N%y*block%Fk(i,j,k)%S - ym*block%Fk(i,j,k-1)%N%y*block%Fk(i,j,k-1)%S
Vz = Vz + zp*block%Fk(i,j,k)%N%z*block%Fk(i,j,k)%S - zm*block%Fk(i,j,k-1)%N%z*block%Fk(i,j,k-1)%S
block%C(i,j,k)%V = max(Vx,Vy,Vz)
enddo
enddo
enddo
!!$OMP END PARALLEL
#ifdef NULi
block%Fj(:,:,:)%N%x=0._R_P
block%Fk(:,:,:)%N%x=0._R_P
block%Fi(:,:,:)%N%y=0._R_P
block%Fi(:,:,:)%N%z=0._R_P
#endif
#ifdef NULj
block%Fi(:,:,:)%N%y=0._R_P
block%Fk(:,:,:)%N%y=0._R_P
block%Fj(:,:,:)%N%x=0._R_P
block%Fj(:,:,:)%N%z=0._R_P
#endif
#ifdef NULk
block%Fi(:,:,:)%N%z=0._R_P
block%Fj(:,:,:)%N%z=0._R_P
block%Fk(:,:,:)%N%x=0._R_P
block%Fk(:,:,:)%N%y=0._R_P
#endif
return
!---------------------------------------------------------------------------------------------------------------------------------
endsubroutine metrics_block
!> @brief Procedure for correcting the metrics of natural (and negative volume) boundary conditions cells of structured block.
elemental subroutine metrics_correction_block(block)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
class(Type_SBlock), intent(INOUT):: block !< Block-level data.
logical:: correct !< Flag for inquiring if metrics must be corrected.
logical:: wall !< Flag for inquiring if bc is "wall-type": different corrections must be used.
real(R8P):: tm !< Tangential metrics parameter (-1 for wall-type bc).
real(R8P):: sn !< Normal metrics coefficient correction.
integer(I4P):: i,j,k !< Counters.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
associate(Ni => block%dims%Ni,Nj => block%dims%Nj,Nk => block%dims%Nk)
!!$OMP PARALLEL DEFAULT(NONE) &
!!$OMP PRIVATE(i,j,k,correct,wall,tm,sn) &
!!$OMP SHARED(Ni,Nj,Nk,block)
! left i
!!$OMP DO
do k=1,Nk
do j=1,Nj
correct = ((.not.block%Fi(0,j,k)%BC%is_adj()).or.(.not.block%Fi(0,j,k)%BC%is_per()).or.&
(block%C( 0,j,k)%V<(0.2_R_P*block%C(1,j,k)%V)))
wall = ((block%Fi(0,j,k)%BC%is_ext()).or.(block%Fi(0,j,k)%BC%is_ref()))
tm = 1._R_P
if (wall) tm = -1._R_P
if (correct) then
! normal metrics
sn=2._R_P*((block%Fi(1,j,k)%N*block%Fi(1,j,k)%S).dot.block%Fi(0,j,k)%N)
block%Fi(-1,j, k )%N = -(block%Fi(1,j,k)%N*block%Fi(1,j,k)%S) + sn*block%Fi(0,j,k)%N
block%Fi(-1,j, k )%S = block%Fi(-1,j,k)%N%normL2()
call block%Fi(-1,j, k )%N%normalize
! tangential metrics
block%Fj( 0,j ,k )%N = tm*block%Fj(1,j ,k )%N
block%Fj( 0,j-1,k )%N = tm*block%Fj(1,j-1,k )%N
block%Fj( 0,j ,k-1)%N = tm*block%Fj(1,j ,k-1)%N
block%Fj( 0,j-1,k-1)%N = tm*block%Fj(1,j-1,k-1)%N
block%Fj( 0,j ,k )%S = tm*block%Fj(1,j ,k )%S
block%Fj( 0,j-1,k )%S = tm*block%Fj(1,j-1,k )%S
block%Fj( 0,j ,k-1)%S = tm*block%Fj(1,j ,k-1)%S
block%Fj( 0,j-1,k-1)%S = tm*block%Fj(1,j-1,k-1)%S
block%Fk( 0,j ,k )%N = tm*block%Fk(1,j ,k )%N
block%Fk( 0,j-1,k )%N = tm*block%Fk(1,j-1,k )%N
block%Fk( 0,j ,k-1)%N = tm*block%Fk(1,j ,k-1)%N
block%Fk( 0,j-1,k-1)%N = tm*block%Fk(1,j-1,k-1)%N
block%Fk( 0,j ,k )%S = tm*block%Fk(1,j ,k )%S
block%Fk( 0,j-1,k )%S = tm*block%Fk(1,j-1,k )%S
block%Fk( 0,j ,k-1)%S = tm*block%Fk(1,j ,k-1)%S
block%Fk( 0,j-1,k-1)%S = tm*block%Fk(1,j-1,k-1)%S
! volume
block%C( 0,j, k )%V = block%C( 1,j, k )%V
endif
enddo
enddo
! right i
!!$OMP DO
do k=1,Nk
do j=1,Nj
correct = ((.not.block%Fi(Ni+1,j,k)%BC%is_adj()).or.(.not.block%Fi(Ni+1,j,k)%BC%is_per()).or.&
(block%C( Ni+1,j,k)%V<(0.2_R_P*block%C(Ni,j,k)%V)))
wall = ((block%Fi(0,j,k)%BC%is_ext()).OR.(block%Fi(0,j,k)%BC%is_ref()))
tm = 1._R_P
if (wall) tm = -1._R_P
if (correct) then
! normal metrics
sn=2._R_P*((block%Fi(1,j,k)%N*block%Fi(1,j,k)%S).dot.block%Fi(0,j,k)%N)
block%Fi(-1,j, k )%N = -(block%Fi(1,j,k)%N*block%Fi(1,j,k)%S) + sn*block%Fi(0,j,k)%N
block%Fi(-1,j, k )%S = block%Fi(-1,j,k)%N%normL2()
call block%Fi(-1,j, k )%N%normalize
! tangential metrics
block%Fj( 0,j ,k )%N = tm*block%Fj(1,j ,k )%N
block%Fj( 0,j-1,k )%N = tm*block%Fj(1,j-1,k )%N
block%Fj( 0,j ,k-1)%N = tm*block%Fj(1,j ,k-1)%N
block%Fj( 0,j-1,k-1)%N = tm*block%Fj(1,j-1,k-1)%N
block%Fj( 0,j ,k )%S = tm*block%Fj(1,j ,k )%S
block%Fj( 0,j-1,k )%S = tm*block%Fj(1,j-1,k )%S
block%Fj( 0,j ,k-1)%S = tm*block%Fj(1,j ,k-1)%S
block%Fj( 0,j-1,k-1)%S = tm*block%Fj(1,j-1,k-1)%S
block%Fk( 0,j ,k )%N = tm*block%Fk(1,j ,k )%N
block%Fk( 0,j-1,k )%N = tm*block%Fk(1,j-1,k )%N
block%Fk( 0,j ,k-1)%N = tm*block%Fk(1,j ,k-1)%N
block%Fk( 0,j-1,k-1)%N = tm*block%Fk(1,j-1,k-1)%N
block%Fk( 0,j ,k )%S = tm*block%Fk(1,j ,k )%S
block%Fk( 0,j-1,k )%S = tm*block%Fk(1,j-1,k )%S
block%Fk( 0,j ,k-1)%S = tm*block%Fk(1,j ,k-1)%S
block%Fk( 0,j-1,k-1)%S = tm*block%Fk(1,j-1,k-1)%S
! volume
block%C( 0,j, k )%V = block%C( 1,j, k )%V
endif
enddo
enddo
! left j
!!$OMP DO
do k=1,Nk
do i=1,Ni
correct = ((.not.block%Fj(i,0,k)%BC%is_adj()).or.(.not.block%Fj(i,0,k)%BC%is_per()).or.&
(block%C( i,0,k)%V<(0.2_R_P*block%C(i,1,k)%V)))
wall = ((block%Fj(i,0,k)%BC%is_ext()).OR.(block%Fj(i,0,k)%BC%is_ref()))
tm = 1._R_P
if (wall) tm = -1._R_P
if (correct) then
! normal metrics
sn=2._R_P*((block%Fj(i,1,k)%N*block%Fj(i,1,k)%S).dot.block%Fj(i,0,k)%N)
block%Fj(i, -1,k )%N = -(block%Fj(i,1,k)%N*block%Fj(i,1,k)%S) + sn*block%Fj(i,0,k)%N
block%Fj(i, -1,k )%S = block%Fj(i,-1,k)%N%normL2()
call block%Fj(i, -1,k )%N%normalize
! tangential metrics
block%Fi(i ,0,k )%N = tm*block%Fi(i ,1,k )%N
block%Fi(i-1,0,k )%N = tm*block%Fi(i-1,1,k )%N
block%Fi(i ,0,k-1)%N = tm*block%Fi(i ,1,k-1)%N
block%Fi(i-1,0,k-1)%N = tm*block%Fi(i-1,1,k-1)%N
block%Fi(i ,0,k )%S = tm*block%Fi(i ,1,k )%S
block%Fi(i-1,0,k )%S = tm*block%Fi(i-1,1,k )%S
block%Fi(i ,0,k-1)%S = tm*block%Fi(i ,1,k-1)%S
block%Fi(i-1,0,k-1)%S = tm*block%Fi(i-1,1,k-1)%S
block%Fk(i ,0,k )%N = tm*block%Fk(i ,1,k )%N
block%Fk(i-1,0,k )%N = tm*block%Fk(i-1,1,k )%N
block%Fk(i ,0,k-1)%N = tm*block%Fk(i ,1,k-1)%N
block%Fk(i-1,0,k-1)%N = tm*block%Fk(i-1,1,k-1)%N
block%Fk(i ,0,k )%S = tm*block%Fk(i ,1,k )%S
block%Fk(i-1,0,k )%S = tm*block%Fk(i-1,1,k )%S
block%Fk(i ,0,k-1)%S = tm*block%Fk(i ,1,k-1)%S
block%Fk(i-1,0,k-1)%S = tm*block%Fk(i-1,1,k-1)%S
! volume
block%C( i, 0,k )%V = block%C( i, 1,k )%V
endif
enddo
enddo
! right j
!!$OMP DO
do k=1,Nk
do i=1,Ni
correct = ((.not.block%Fj(i,Nj+1,k)%BC%is_adj()).or.(.not.block%Fj(i,Nj+1,k)%BC%is_per()).or.&
(block%C( i,Nj+1,k)%V<(0.2_R_P*block%C(i,Nj,k)%V)))
wall = ((block%Fj(i,Nj+1,k)%BC%is_ext()).OR.(block%Fj(i,Nj+1,k)%BC%is_ref()))
tm = 1._R_P
if (wall) tm = -1._R_P
if (correct) then
! normal metrics
sn=2._R_P*((block%Fj(i,Nj-1,k)%N*block%Fj(i,Nj-1,k)%S).dot.block%Fj(i,Nj,k)%N)
block%Fj(i,Nj+1, k )%N = -(block%Fj(i,Nj-1,k)%N*block%Fj(i,Nj-1,k)%S) + sn*block%Fj(i,Nj,k)%N
block%Fj(i,Nj+1, k )%S = block%Fj(i,Nj+1,k)%N%normL2()
call block%Fj(i,Nj+1, k )%N%normalize
! tangential metrics
block%Fi(i ,Nj+1,k )%N = tm*block%Fi(i ,Nj,k )%N
block%Fi(i-1,Nj+1,k )%N = tm*block%Fi(i-1,Nj,k )%N
block%Fi(i ,Nj+1,k-1)%N = tm*block%Fi(i ,Nj,k-1)%N
block%Fi(i-1,Nj+1,k-1)%N = tm*block%Fi(i-1,Nj,k-1)%N
block%Fi(i ,Nj+1,k )%S = tm*block%Fi(i ,Nj,k )%S
block%Fi(i-1,Nj+1,k )%S = tm*block%Fi(i-1,Nj,k )%S
block%Fi(i ,Nj+1,k-1)%S = tm*block%Fi(i ,Nj,k-1)%S
block%Fi(i-1,Nj+1,k-1)%S = tm*block%Fi(i-1,Nj,k-1)%S
block%Fk(i ,Nj+1,k )%N = tm*block%Fk(i ,Nj,k )%N
block%Fk(i-1,Nj+1,k )%N = tm*block%Fk(i-1,Nj,k )%N
block%Fk(i ,Nj+1,k-1)%N = tm*block%Fk(i ,Nj,k-1)%N
block%Fk(i-1,Nj+1,k-1)%N = tm*block%Fk(i-1,Nj,k-1)%N
block%Fk(i ,Nj+1,k )%S = tm*block%Fk(i ,Nj,k )%S
block%Fk(i-1,Nj+1,k )%S = tm*block%Fk(i-1,Nj,k )%S
block%Fk(i ,Nj+1,k-1)%S = tm*block%Fk(i ,Nj,k-1)%S
block%Fk(i-1,Nj+1,k-1)%S = tm*block%Fk(i-1,Nj,k-1)%S
! volume
block%C( i, Nj+1,k )%V = block%C( i, Nj,k )%V
endif
enddo
enddo
! left k
!!$OMP DO
do j=1,Nj
do i=1,Ni
correct = ((.not.block%Fk(i,j,0)%BC%is_adj()).or.(.not.block%Fk(i,j,0)%BC%is_per()).or.&
(block%C( i,j,0)%V<(0.2_R_P*block%C(i,j,1)%V)))
wall = ((block%Fk(i,j,0)%BC%is_ext()).OR.(block%Fk(i,j,0)%BC%is_ref()))
tm = 1._R_P
if (wall) tm = -1._R_P
if (correct) then
! normal metrics
sn=2._R_P*((block%Fk(i,j,1)%N*block%Fk(i,j,1)%S).dot.block%Fk(i,j,0)%N)
block%Fk(i, j, -1)%N = -(block%Fk(i,j,1)%N*block%Fk(i,j,1)%S) + sn*block%Fk(i,j,0)%N
block%Fk(i, j, -1)%S = block%Fk(i,j,-1)%N%normL2()
call block%Fk(i, j, -1)%N%normalize
! tangential metrics
block%Fi(i ,j ,0)%N = tm*block%Fi(i ,j ,1)%N
block%Fi(i-1,j ,0)%N = tm*block%Fi(i-1,j ,1)%N
block%Fi(i ,j-1,0)%N = tm*block%Fi(i ,j-1,1)%N
block%Fi(i-1,j-1,0)%N = tm*block%Fi(i-1,j-1,1)%N
block%Fi(i ,j ,0)%S = tm*block%Fi(i ,j ,1)%S
block%Fi(i-1,j ,0)%S = tm*block%Fi(i-1,j ,1)%S
block%Fi(i ,j-1,0)%S = tm*block%Fi(i ,j-1,1)%S
block%Fi(i-1,j-1,0)%S = tm*block%Fi(i-1,j-1,1)%S
block%Fj(i ,j ,0)%N = tm*block%Fj(i ,j ,1)%N
block%Fj(i-1,j ,0)%N = tm*block%Fj(i-1,j ,1)%N
block%Fj(i ,j-1,0)%N = tm*block%Fj(i ,j-1,1)%N
block%Fj(i-1,j-1,0)%N = tm*block%Fj(i-1,j-1,1)%N
block%Fj(i ,j ,0)%S = tm*block%Fj(i ,j ,1)%S
block%Fj(i-1,j ,0)%S = tm*block%Fj(i-1,j ,1)%S
block%Fj(i ,j-1,0)%S = tm*block%Fj(i ,j-1,1)%S
block%Fj(i-1,j-1,0)%S = tm*block%Fj(i-1,j-1,1)%S
! volume
block%C( i, j, 0)%V = block%C( i, j, 1)%V
endif
enddo
enddo
! right k
!!$OMP DO
do j=1,Nj
do i=1,Ni
correct = ((.not.block%Fk(i,j,Nk+1)%BC%is_adj()).or.(.not.block%Fk(i,j,Nk+1)%BC%is_per()).or.&
(block%C( i,j,Nk+1)%V<(0.2_R_P*block%C(i,j,Nk)%V)))
wall = ((block%Fk(i,j,Nk+1)%BC%is_ext()).OR.(block%Fk(i,j,Nk+1)%BC%is_ref()))
tm = 1._R_P
if (wall) tm = -1._R_P
if (correct) then
! normal metrics
sn=2._R_P*((block%Fk(i,j,Nk-1)%N*block%Fk(i,j,Nk-1)%S).dot.block%Fk(i,j,Nk)%N)
block%Fk(i, j, Nk+1)%N = -(block%Fk(i,j,Nk-1)%N*block%Fk(i,j,Nk-1)%S) + sn*block%Fk(i,j,Nk)%N
block%Fk(i, j, Nk+1)%S = block%Fk(i,j,Nk+1)%N%normL2()
call block%Fk(i, j, Nk+1)%N%normalize
! tangential metrics
block%Fi(i ,j ,Nk+1)%N = tm*block%Fi(i ,j ,Nk)%N
block%Fi(i-1,j ,Nk+1)%N = tm*block%Fi(i-1,j ,Nk)%N
block%Fi(i ,j-1,Nk+1)%N = tm*block%Fi(i ,j-1,Nk)%N
block%Fi(i-1,j-1,Nk+1)%N = tm*block%Fi(i-1,j-1,Nk)%N
block%Fi(i ,j ,Nk+1)%S = tm*block%Fi(i ,j ,Nk)%S
block%Fi(i-1,j ,Nk+1)%S = tm*block%Fi(i-1,j ,Nk)%S
block%Fi(i ,j-1,Nk+1)%S = tm*block%Fi(i ,j-1,Nk)%S
block%Fi(i-1,j-1,Nk+1)%S = tm*block%Fi(i-1,j-1,Nk)%S
block%Fj(i ,j ,Nk+1)%N = tm*block%Fj(i ,j ,Nk)%N
block%Fj(i-1,j ,Nk+1)%N = tm*block%Fj(i-1,j ,Nk)%N
block%Fj(i ,j-1,Nk+1)%N = tm*block%Fj(i ,j-1,Nk)%N
block%Fj(i-1,j-1,Nk+1)%N = tm*block%Fj(i-1,j-1,Nk)%N
block%Fj(i ,j ,Nk+1)%S = tm*block%Fj(i ,j ,Nk)%S
block%Fj(i-1,j ,Nk+1)%S = tm*block%Fj(i-1,j ,Nk)%S
block%Fj(i ,j-1,Nk+1)%S = tm*block%Fj(i ,j-1,Nk)%S
block%Fj(i-1,j-1,Nk+1)%S = tm*block%Fj(i-1,j-1,Nk)%S
! volume
block%C( i, j, Nk+1)%V = block%C( i, j, Nk)%V
endif
enddo
enddo
!!$OMP END PARALLEL
endassociate
return
!---------------------------------------------------------------------------------------------------------------------------------
endsubroutine metrics_correction_block
!> @brief Procedure for computing cell center coordinates from cell nodes ones.
elemental subroutine node2center_block(block)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
class(Type_SBlock), intent(INOUT):: block !< Block-level data.
integer(I4P):: i,j,k !< Counters.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP PRIVATE(i,j,k) &
!$OMP SHARED(block)
!$OMP DO
do k=1-block%dims%gc(5),block%dims%Nk+block%dims%gc(6)
do j=1-block%dims%gc(3),block%dims%Nj+block%dims%gc(4)
do i=1-block%dims%gc(1),block%dims%Ni+block%dims%gc(2)
block%C(i,j,k)%cent%x = (block%node(i, j, k )%x + &
block%node(i-1,j, k )%x + &
block%node(i ,j-1,k )%x + &
block%node(i ,j ,k-1)%x + &
block%node(i-1,j-1,k-1)%x + &
block%node(i ,j-1,k-1)%x + &
block%node(i-1,j ,k-1)%x + &
block%node(i-1,j-1,k )%x)*0.125_R_P
block%C(i,j,k)%cent%y = (block%node(i, j, k )%y + &
block%node(i-1,j, k )%y + &
block%node(i ,j-1,k )%y + &
block%node(i ,j ,k-1)%y + &
block%node(i-1,j-1,k-1)%y + &
block%node(i ,j-1,k-1)%y + &
block%node(i-1,j ,k-1)%y + &
block%node(i-1,j-1,k )%y)*0.125_R_P
block%C(i,j,k)%cent%z = (block%node(i, j, k )%z + &
block%node(i-1,j, k )%z + &
block%node(i ,j-1,k )%z + &
block%node(i ,j ,k-1)%z + &
block%node(i-1,j-1,k-1)%z + &
block%node(i ,j-1,k-1)%z + &
block%node(i-1,j ,k-1)%z + &
block%node(i-1,j-1,k )%z)*0.125_R_P
enddo
enddo
enddo
!$OMP END PARALLEL
return
!---------------------------------------------------------------------------------------------------------------------------------
endsubroutine node2center_block
!> @brief Procedure for computing (an estimation of) the minimum value of space step.
elemental function min_space_step_block(block) result(mss)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
class(Type_SBlock), intent(IN):: block !< Block-level data.
real(R8P):: mss !< Minimum space step.
integer(I4P):: i,j,k !< Counters.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
mss = MaxR8P
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP PRIVATE(i,j,k) &
!$OMP SHARED(block) &
!$OMP REDUCTION(min: mss)
!$OMP DO
do k=1,block%dims%Nk
do j=1,block%dims%Nj
do i=1,block%dims%Ni
mss = min(mss, &
(0.25_R_P*(block%node(i ,j ,k )%x + block%node(i ,j-1,k )%x + &
block%node(i ,j-1,k-1)%x + block%node(i ,j ,k-1)%x)- &
0.25_R_P*(block%node(i-1,j ,k )%x + block%node(i-1,j-1,k )%x + &
block%node(i-1,j-1,k-1)%x + block%node(i-1,j ,k-1)%x)), &
(0.25_R_P*(block%node(i ,j ,k )%y + block%node(i-1,j ,k )%y + &
block%node(i-1,j ,k-1)%y + block%node(i ,j ,k-1)%y)- &
0.25_R_P*(block%node(i ,j-1,k )%y + block%node(i-1,j-1,k )%y + &
block%node(i-1,j-1,k-1)%y + block%node(i ,j-1,k-1)%y)), &
(0.25_R_P*(block%node(i ,j ,k )%z + block%node(i-1,j-1,k )%z + &
block%node(i-1,j ,k )%z + block%node(i ,j-1,k )%z)- &
0.25_R_P*(block%node(i ,j ,k-1)%z + block%node(i-1,j-1,k-1)%z + &
block%node(i-1,j ,k-1)%z + block%node(i ,j-1,k-1)%z)))
enddo
enddo
enddo
!$OMP END PARALLEL
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction min_space_step_block
!> @brief Procedure for creating a uniform grid provided block extents.
!> @note This procedure reallocate block variables calling block%alloc procedure, thus all previous array data are deleted.
elemental subroutine create_uniform_grid(block,exts)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
class(Type_SBlock), intent(INOUT):: block !< Block-level data.
type(Type_Block_Extents), optional, intent(IN):: exts !< Block extents.
type(Type_Vector):: deltas !< Uniform space steps.
type(Type_Vector):: Nijk !< Number of cells along each direction in vector form.
integer(I4P):: i,j,k !< Counters.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
if (present(exts)) block%exts = exts
call block%alloc
associate(gc => block%dims%gc, Ni => block%dims%Ni, Nj => block%dims%Nj, Nk => block%dims%Nk)
Nijk = real(Ni,R8P)*ex+real(Nj,R8P)*ey+real(Nk,R8P)*ez
deltas = (block%exts%emax-block%exts%emin)/Nijk
do k=0-gc(5),Nk+gc(6)
do j=0-gc(3),Nj+gc(4)
do i=0-gc(1),Ni+gc(2)
block%node(i,j,k) = block%exts%emin + (real(i,R8P)*deltas%x)*ex + (real(j,R8P)*deltas%y)*ey + (real(k,R8P)*deltas%z)*ez
enddo
enddo
enddo
endassociate
return
!---------------------------------------------------------------------------------------------------------------------------------
endsubroutine create_uniform_grid
!> @brief Procedure for creating the grid from the grid of a finer block.
!> @note Presently, it is assumed that the finer block has a doubled number of cells along each direction, namely
!> \f$ Ni_f = 2Ni\, Nj_f = 2Nj\, Nk_f = 2Nk\f$, \f$Ni(j,k)_f\f$ being the finer block dimensions.
elemental subroutine create_grid_from_finer(block,block_f)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
class(Type_SBlock), intent(INOUT):: block !< Block-level data.
type(Type_SBlock), intent(IN):: block_f !< Finer block-level data.
integer(I4P):: i,j,k !< Counters.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
associate(gc => block%dims%gc, Ni => block%dims%Ni, Nj => block%dims%Nj, Nk => block%dims%Nk)
! inner nodes
do k=0,Nk
do j=0,Nj
do i=0,Ni
block%node(i,j,k) = block_f%node(i*2,j*2,k*2)
enddo
enddo
enddo
! left i
! to be completed...
endassociate
return
!---------------------------------------------------------------------------------------------------------------------------------
endsubroutine create_grid_from_finer
!> @brief Procedure for computing (pseudo) Schlieren flow field.
subroutine compute_schlieren(block,interpolate,schl)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
class(Type_SBlock), intent(IN):: block !< Block data.
logical, optional, intent(IN):: interpolate !< Flag for interpolating output at nodes.
real(R8P), allocatable, intent(INOUT):: schl(:,:,:) !< Schlieren flow field.
real(R8P), allocatable:: r(:,:,:) !< Density flow field.
real(R8P):: mf !< Mean factor.
real(R8P), allocatable:: schlN(:,:,:) !< Schlieren flow field interpolated at nodes.
integer(I4P):: i,j,k !< Counters.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
associate(gc=>block%dims%gc,Ni=>block%dims%Ni,Nj=>block%dims%Nj,Nk=>block%dims%Nk,Ns=>block%dims%Ns)
if (allocated(schl)) deallocate(schl) ; allocate(schl(1-gc(1):Ni+gc(2),1-gc(3):Nj+gc(4),1-gc(5):Nk+gc(6)))
if (allocated(r )) deallocate(r ) ; allocate(r (1-gc(1):Ni+gc(2),1-gc(3):Nj+gc(4),1-gc(5):Nk+gc(6)))
r = block%C%P%d
schl = 0._R8P
#if !defined NULi && !defined NULj && !defined NULk
! 3D data
mf = 0.125_R8P
#elif defined NULi
r(0:1-gc(1) ,:,:) = 0._R8P
r(Ni+1:Ni+gc(2),:,:) = 0._R8P
#if !defined NULj && !defined NULk
! 2D data
mf = 0.25_R8P
#elif defined NULj
! 1D data
mf = 0.5_R8P
r(:,0:1-gc(3) ,:) = 0._R8P
r(:,Nj+1:Nj+gc(4),:) = 0._R8P
#elif defined NULk
! 1D data
mf = 0.5_R8P
r(:,:,0:1-gc(5) ) = 0._R8P
r(:,:,Nk+1:Nk+gc(6)) = 0._R8P
#endif
#elif defined NULj
r(:,0:1-gc(3) ,:) = 0._R8P
r(:,Nj+1:Nj+gc(4),:) = 0._R8P
#if !defined NULi && !defined NULk
! 2D data
mf = 0.25_R8P
#elif defined NULi
! 1D data
mf = 0.5_R8P
r(0:1-gc(1) ,:,:) = 0._R8P
r(Ni+1:Ni+gc(2),:,:) = 0._R8P
#elif defined NULk
! 1D data
mf = 0.5_R8P
r(:,:,0:1-gc(5) ) = 0._R8P
r(:,:,Nk+1:Nk+gc(6)) = 0._R8P
#endif
#elif defined NULk
r(:,:,0:1-gc(5) ) = 0._R8P
r(:,:,Nk+1:Nk+gc(6)) = 0._R8P
#if !defined NULi && !defined NULj
! 2D data
mf = 0.25_R8P
#elif defined NULi
! 1D data
mf = 0.5_R8P
r(0:1-gc(1) ,:,:) = 0._R8P
r(Ni+1:Ni+gc(2),:,:) = 0._R8P
#elif defined NULj
! 1D data
mf = 0.5_R8P
r(:,0:1-gc(3) ,:) = 0._R8P
r(:,Nj+1:Nj+gc(4),:) = 0._R8P
#endif
#endif
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP PRIVATE(i,j,k) &
!$OMP SHARED(gc,Ni,Nj,Nk,r,schl)
!$OMP DO
do k=1-gc(5)+1,Nk+gc(6)-1
do j=1-gc(3)+1,Nj+gc(4)-1
do i=1-gc(1)+1,Ni+gc(2)-1
schl(i,j,k) = abs_grad(Vip1=r(i+1,j,k),Vim1=r(i-1,j,k),Di=(block%node(i,j,k)-block%node(i-1,j,k)).dot.ex,&
Vjp1=r(i,j+1,k),Vjm1=r(i,j-1,k),Dj=(block%node(i,j,k)-block%node(i,j-1,k)).dot.ey,&
Vkp1=r(i,j,k+1),Vkm1=r(i,j,k-1),Dk=(block%node(i,j,k)-block%node(i,j,k-1)).dot.ez)
enddo
enddo
enddo
!$OMP END PARALLEL
deallocate(r)
if (present(interpolate)) then
if (interpolate) then