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CylinderNormalSolver.F90
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CylinderNormalSolver.F90
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!/*****************************************************************************/
! *
! * Elmer, A Finite Element Software for Multiphysical Problems
! *
! * Copyright 1st April 1995 - , CSC - IT Center for Science Ltd., Finland
! *
! * This program is free software; you can redistribute it and/or
! * modify it under the terms of the GNU General Public License
! * as published by the Free Software Foundation; either version 2
! * of the License, or (at your option) any later version.
! *
! * This program 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 General Public License for more details.
! *
! * You should have received a copy of the GNU General Public License
! * along with this program (in file fem/GPL-2); if not, write to the
! * Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
! * Boston, MA 02110-1301, USA.
! *
! *****************************************************************************/
!
!/******************************************************************************
! *
! * Authors: Peter R�back, Juha Ruokolainen
! * Email: Peter.Raback@csc.fi
! * Web: http://www.csc.fi/elmer
! * Address: CSC - IT Center for Science Ltd.
! * Keilaranta 14
! * 02101 Espoo, Finland
! *
! * Original Date: 20.06.2007
! *
! *****************************************************************************/
!------------------------------------------------------------------------------
!> Solver for computing average normals for nodes using the Galerkin method.
!> For real meshes the direction of the normal is discrete for curved surfaces
!> and this solution should give a smoother normal direction.
!> \ingroup Solvers
!------------------------------------------------------------------------------
SUBROUTINE NormalSolver( Model,Solver,dt,Transient )
!------------------------------------------------------------------------------
USE CoordinateSystems
USE DefUtils
IMPLICIT NONE
!------------------------------------------------------------------------------
TYPE(Model_t) :: Model
TYPE(Solver_t), TARGET :: Solver
LOGICAL :: Transient
REAL(KIND=dp) :: dt
!------------------------------------------------------------------------------
! Local variables
!------------------------------------------------------------------------------
TYPE(ValueList_t),POINTER :: SolverParams
CHARACTER(LEN=MAX_NAME_LEN) :: Vname, VarName, CondName
INTEGER :: i,j,k,dim,DOFs
LOGICAL :: ConstantBulkMatrix, ConstantBulkMatrixInUse, CSymmetry
LOGICAL :: GotIt, Visited = .FALSE., SetD
REAL(KIND=dp) :: Unorm, Totnorm, nrm
REAL(KIND=dp), ALLOCATABLE, TARGET :: ForceVector(:,:)
REAL(KIND=dp), POINTER CONTIG :: SaveRHS(:)
REAL(KIND=dp) :: at0,at1,at2
TYPE(Variable_t), POINTER :: NrmSol
REAL(KIND=dp), ALLOCATABLE :: Values(:)
SAVE Visited
CALL Info( 'NormalSolver', '-------------------------------------',Level=4 )
CALL Info( 'NormalSolver', 'Computing the normals',Level=4 )
CALL Info( 'NormalSolver', '-------------------------------------',Level=4 )
dim = CoordinateSystemDimension()
!------------------------------------------------------------------------------
! Get variables needed for solution
!------------------------------------------------------------------------------
IF ( .NOT. ASSOCIATED( Solver % Matrix ) ) RETURN
IF ( COUNT( Solver % Variable % Perm > 0 ) <= 0 ) RETURN
SolverParams => GetSolverParams()
VarName = GetString(SolverParams,'Normals Result Variable',GotIt )
IF(.NOT. GotIt) THEN
CALL Fatal('NormalSolver','> Normals Result Variable < not found!')
END IF
NrmSol => VariableGet( Solver % Mesh % Variables, VarName )
IF(ASSOCIATED(NrmSol)) THEN
Dofs = NrmSol % DOFs
IF(Dofs /= DIM) THEN
CALL Fatal('NormalSolver','The normals should have DOFs equal to DIM')
END IF
ELSE
CALL DefaultVariableAdd( VarName, dim, Var = NrmSol )
END IF
CSymmetry = CurrentCoordinateSystem() == AxisSymmetric .OR. &
CurrentCoordinateSystem() == CylindricSymmetric
at0 = RealTime()
ConstantBulkMatrix = GetLogical( SolverParams, 'Constant Bulk Matrix', GotIt )
ConstantBulkMatrixInUse = ConstantBulkMatrix .AND. &
ASSOCIATED(Solver % Matrix % BulkValues)
IF ( ConstantBulkMatrixInUse ) THEN
Solver % Matrix % Values = Solver % Matrix % BulkValues
ELSE
CALL DefaultInitialize()
END IF
ALLOCATE(ForceVector(SIZE(Solver % Matrix % RHS),dim))
ForceVector = 0.0_dp
SaveRHS => Solver % Matrix % RHS
!
CALL BulkAssembly()
CALL DefaultFinishBulkAssembly()
!No flux BCs for this solver
CALL DefaultFinishAssembly()
at1 = RealTime()
WRITE(Message,* ) 'Assembly Time: ',at1-at0
CALL Info( 'NormalSolver', Message, Level=5 )
!
!------------------------------------------------------------------------------
SetD = GetLogical(GetSolverParams(), 'Set Dirichlet Conditions',GotIt)
IF ( SetD ) THEN
ALLOCATE(Values(SIZE(Solver % Matrix % Values)))
Vname = Solver % Variable % Name
Values = Solver % Matrix % Values
END IF
DO i=1,dim
Solver % Matrix % RHS => ForceVector(:,i)
IF ( SetD ) THEN
Solver % Variable % Name = TRIM(VarName) // ' ' // I2S(i)
Solver % Matrix % Values = Values
CALL DefaultDirichletBCs()
Solver % Variable % Name = Vname
ELSE
CALL DefaultDirichletBCs()
END IF
Solver % Variable % Values = 0._dp
UNorm = DefaultSolve()
DO j=1,Solver % Matrix % NumberOfRows
NrmSol % Values(DOFs*(j-1)+i) = Solver % Variable % Values(j)
END DO
Solver % Matrix % RHS => SaveRHS
END DO
IF ( SetD ) DEALLOCATE(Values)
DO i=1,Solver % Matrix % NumberOFRows
nrm = 0.0_dp
DO j=1,dim
k = DOFs*(i-1)+j
nrm = nrm + NrmSol % Values(k)**2
END DO
IF ( nrm > 0 ) THEN
nrm = 1.0_dp / SQRT(nrm)
DO j=1,dim
k = DOFs*(i-1)+j
NrmSol % Values(k) = nrm*NrmSol % Values(k)
END DO
END IF
END DO
!------------------------------------------------------------------------------
DEALLOCATE( ForceVector )
Solver % Matrix % RHS => SaveRHS
at2 = RealTime()
WRITE(Message,* ) 'Solution Time: ',at2-at1
CALL Info( 'NormalSolver', Message, Level=5 )
CONTAINS
!------------------------------------------------------------------------------
SUBROUTINE BulkAssembly()
!------------------------------------------------------------------------------
REAL(KIND=dp), ALLOCATABLE :: STIFF(:,:), FORCE(:,:), Basis(:)
REAL(KIND=dp) :: Weight,Normal(3),detJ
LOGICAL :: Found
INTEGER :: elem,t,i,j,p,q,n,nd, Rank
TYPE(Element_t), POINTER :: Element
TYPE(Nodes_t), SAVE :: Nodes
TYPE(GaussIntegrationPoints_t), TARGET :: IntegStuff
n = MAX( Solver % Mesh % MaxElementDOFs, Solver % Mesh % MaxElementNodes )
ALLOCATE( STIFF(n,n), FORCE(dim,n), Basis(n) )
DO elem = 1,Solver % NumberOfActiveElements
! Element information
! ---------------------
Element => GetActiveElement(elem)
CALL GetElementNodes( Nodes )
nd = GetElementNOFDOFs()
n = GetElementNOFNodes()
! Integrate local stresses:
! -------------------------
IntegStuff = GaussPoints( Element )
STIFF = 0.0_dp
FORCE = 0.0_dp
DO t=1,IntegStuff % n
Found = ElementInfo( Element, Nodes, IntegStuff % u(t), &
IntegStuff % v(t), IntegStuff % w(t), detJ, Basis )
Weight = IntegStuff % s(t) * detJ
IF ( CSymmetry ) Weight = Weight * &
SUM( Basis(1:n) * Nodes % x(1:n) )
IF ( .NOT. ConstantBulkMatrixInUse ) THEN
DO p=1,nd
DO q=1,nd
STIFF(p,q) = STIFF(p,q) + Weight * Basis(q) * Basis(p)
END DO
END DO
END IF
IF (.TRUE.) THEN
Normal(1) = SUM(Nodes % x(1:n) * Basis(1:n))
Normal(2) = 0.0d0
Normal(3) = SUM(Nodes % z(1:n) * Basis(1:n)) - 1.0d0
Normal = Normal/sqrt(SUM(Normal(:)**2))
ELSE
Normal = NormalVector( Element, Nodes, &
IntegStuff % u(t), IntegStuff % v(t), .TRUE. )
END IF
DO i=1,dim
FORCE(i,1:nd) = FORCE(i,1:nd) + Weight*Normal(i)*Basis(1:nd)
END DO
END DO
!------------------------------------------------------------------------------
! Update global matrices from local matrices
!------------------------------------------------------------------------------
IF ( .NOT. ConstantBulkMatrixInUse ) THEN
Solver % Matrix % RHS => SaveRHS
CALL DefaultUpdateEquations( STIFF, FORCE(1,1:nd) )
END IF
DO i=1,dim
Solver % Matrix % RHS => ForceVector(:,i)
CALL DefaultUpdateForce( FORCE(i,1:nd) )
END DO
END DO
DEALLOCATE( STIFF, FORCE, Basis )
!------------------------------------------------------------------------------
END SUBROUTINE BulkAssembly
!------------------------------------------------------------------------------
!------------------------------------------------------------------------------
END SUBROUTINE NormalSolver
!------------------------------------------------------------------------------
!------------------------------------------------------------------------------
!> Initialization for the primary solver: NormalSolver.
!> \ingroup Solvers
!------------------------------------------------------------------------------
SUBROUTINE NormalSolver_Init( Model,Solver,dt,Transient )
!------------------------------------------------------------------------------
USE DefUtils
TYPE(Model_t) :: Model
TYPE(Solver_t) :: Solver
REAL(KIND=dp) :: DT
LOGICAL :: Transient
!------------------------------------------------------------------------------
INTEGER :: dim
TYPE(ValueList_t), POINTER :: SolverParams
CHARACTER(LEN=MAX_NAME_LEN) :: VarName
LOGICAL :: Found
!------------------------------------------------------------------------------
SolverParams => GetSolverParams()
dim = CoordinateSystemDimension()
IF ( .NOT. ListCheckPresent( SolverParams,'Variable') ) THEN
CALL ListAddString( SolverParams, 'Variable','-nooutput nrm_temp' )
END IF
VarName = GetString(SolverParams,'Normals Result Variable', Found )
IF( .NOT. Found ) THEN
CALL ListAddString( SolverParams,'Normals Result Variable','Normals')
CALL ListAddString( SolverParams, 'Exported Variable 1', 'Normals[Normals:2]' )
END IF
CALL ListAddInteger( SolverParams, 'Time derivative order', 0 )
!------------------------------------------------------------------------------
END SUBROUTINE NormalSolver_Init
!------------------------------------------------------------------------------