GLheightadvectionAnalysis.cpp

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#include "./GLheightadvectionAnalysis.h"
#include "../toolkits/toolkits.h"
#include "../classes/classes.h"
#include "../shared/shared.h"
#include "../modules/modules.h"
 
/*Model processing*/
void GLheightadvectionAnalysis::CreateConstraints(Constraints* constraints,IoModel* iomodel){/*{{{*/
 
   /*No constraints for now*/
}/*}}}*/
void GLheightadvectionAnalysis::CreateLoads(Loads* loads, IoModel* iomodel){/*{{{*/
 
   /*No loads*/
}/*}}}*/
void GLheightadvectionAnalysis::CreateNodes(Nodes* nodes,IoModel* iomodel,bool isamr){/*{{{*/
 
   /*First fetch data: */
   if(iomodel->domaintype==Domain3DEnum) iomodel->FetchData(2,"md.mesh.vertexonbase","md.mesh.vertexonsurface");
   ::CreateNodes(nodes,iomodel,GLheightadvectionAnalysisEnum,P1Enum);
   iomodel->DeleteData(2,"md.mesh.vertexonbase","md.mesh.vertexonsurface");
}/*}}}*/
int  GLheightadvectionAnalysis::DofsPerNode(int** doflist,int domaintype,int approximation){/*{{{*/
   return 1;
}/*}}}*/
void GLheightadvectionAnalysis::UpdateElements(Elements* elements,Inputs2* inputs2,IoModel* iomodel,int analysis_counter,int analysis_type){/*{{{*/
 
   /*Update elements: */
   int counter=0;
   for(int i=0;i<iomodel->numberofelements;i++){
      if(iomodel->my_elements[i]){
         Element* element=(Element*)elements->GetObjectByOffset(counter);
         element->Update(inputs2,i,iomodel,analysis_counter,analysis_type,P1Enum);
         counter++;
      }
   }
 
   if(iomodel->domaintype!=Domain2DhorizontalEnum){
      iomodel->FetchDataToInput(inputs2,elements,"md.mesh.vertexonbase",MeshVertexonbaseEnum);
      iomodel->FetchDataToInput(inputs2,elements,"md.mesh.vertexonsurface",MeshVertexonsurfaceEnum);
   }
   iomodel->FetchDataToInput(inputs2,elements,"md.mesh.vertexonboundary",MeshVertexonboundaryEnum);
}/*}}}*/
void GLheightadvectionAnalysis::UpdateParameters(Parameters* parameters,IoModel* iomodel,int solution_enum,int analysis_enum){/*{{{*/
}/*}}}*/
 
/*Finite Element Analysis*/
void           GLheightadvectionAnalysis::Core(FemModel* femmodel){/*{{{*/
   _error_("not implemented");
}/*}}}*/
ElementVector* GLheightadvectionAnalysis::CreateDVector(Element* element){/*{{{*/
   /*Default, return NULL*/
   return NULL;
}/*}}}*/
ElementMatrix* GLheightadvectionAnalysis::CreateJacobianMatrix(Element* element){/*{{{*/
   _error_("Not implemented");
}/*}}}*/
ElementMatrix* GLheightadvectionAnalysis::CreateKMatrix(Element* element){/*{{{*/
 
   /* Spawn basal element */
   if(!element->IsOnBase()) return NULL;
   Element* basalelement = element->SpawnBasalElement();
 
   /* Check if ice in element */
   if(!basalelement->IsIceInElement()) return NULL;
 
   /*Intermediaries */
   const IssmPDouble yts = 365*24*3600.;
   int        domaintype,dim;
   IssmDouble Jdet,D_scalar,onboundary;
   IssmDouble vel,vx,vy;
   IssmDouble* xyz_list      = NULL;
   Input2* vx_input           = NULL;
   Input2* vy_input           = NULL;
   Input2* bc_input           = NULL;
 
   /*Get problem dimension*/
   basalelement->FindParam(&domaintype,DomainTypeEnum);
   switch(domaintype){
      case Domain2DhorizontalEnum: dim = 2; break;
      case Domain3DEnum:           dim = 2; break;
      default: _error_("mesh "<<EnumToStringx(domaintype)<<" not supported yet");
   }
 
   /*Fetch number of nodes and dof for this finite element*/
   int numnodes = basalelement->GetNumberOfNodes();
 
   /*Initialize Element vector and other vectors*/
   ElementMatrix* Ke     = basalelement->NewElementMatrix();
   IssmDouble*    basis  = xNew<IssmDouble>(numnodes);
   IssmDouble*    dbasis = xNew<IssmDouble>(dim*numnodes);
   IssmDouble*    Bprime = xNew<IssmDouble>(dim*numnodes);
   IssmDouble     D[2][2] = {0.};
 
   /*Retrieve all inputs and parameters*/
   basalelement->GetVerticesCoordinates(&xyz_list);
   switch(domaintype){
      case Domain2DhorizontalEnum:
         vx_input=basalelement->GetInput2(VxEnum); _assert_(vx_input);
         vy_input=basalelement->GetInput2(VyEnum); _assert_(vy_input);
         bc_input=basalelement->GetInput2(MeshVertexonboundaryEnum); _assert_(bc_input);
      break;
      case Domain3DEnum:
         vx_input=basalelement->GetInput2(VxAverageEnum); _assert_(vx_input);
         vy_input=basalelement->GetInput2(VyAverageEnum); _assert_(vy_input);
         bc_input=basalelement->GetInput2(MeshVertexonboundaryEnum); _assert_(bc_input);
      break;
      default: _error_("mesh "<<EnumToStringx(domaintype)<<" not supported yet");
   }
   IssmDouble h = basalelement->CharacteristicLength();
 
   /* Start  looping on the number of gaussian points: */
   Gauss* gauss=basalelement->NewGauss(4);
   for(int ig=gauss->begin();ig<gauss->end();ig++){
      gauss->GaussPoint(ig);
 
      basalelement->JacobianDeterminant(&Jdet,xyz_list,gauss);
      basalelement->NodalFunctions(basis,gauss);
      basalelement->NodalFunctionsDerivatives(dbasis,xyz_list,gauss);
      GetBprime(Bprime,basalelement,dim,xyz_list,gauss);
 
      /*Get velocity*/
      vx_input->GetInputValue(&vx,gauss);
      vy_input->GetInputValue(&vy,gauss);
 
      if(false){
         /*Streamline diffusion*/
         vel = sqrt(vx*vx+vy*vy);
         if(vel<10./yts){
            vx = 0.; vy = 0.;
            vel = 30./yts*500000.;
         }
 
         for(int i=0;i<numnodes;i++){
            for(int j=0;j<numnodes;j++){
               Ke->values[i*numnodes+j] += gauss->weight*Jdet*(
                        (vx*dbasis[0*numnodes+i] + vy*dbasis[1*numnodes+i])*(vx*dbasis[0*numnodes+j] + vy*dbasis[1*numnodes+j])
                        + vel/500000.*(dbasis[0*numnodes+i]*dbasis[0*numnodes+j] + dbasis[1*numnodes+i]*dbasis[1*numnodes+j]));
            }
         }
      }
      else{
         D_scalar=gauss->weight*Jdet;
 
         bc_input->GetInputValue(&onboundary,gauss);
         if(onboundary>0.){
            /*We do not want to advect garbage, make sure only diffusion is applied on boundary*/
            vx = 0.; vy = 0.;
         }
 
         /*Diffusion */
         if(sqrt(vx*vx+vy*vy)<1000./31536000.){
            IssmPDouble kappa = -10.;
            for(int i=0;i<numnodes;i++){
               for(int j=0;j<numnodes;j++){
                  Ke->values[i*numnodes+j] += D_scalar*kappa*(dbasis[0*numnodes+j]*dbasis[0*numnodes+i] + dbasis[1*numnodes+j]*dbasis[1*numnodes+i]);
               }
            }
         }
 
         /*Advection: */
         for(int i=0;i<numnodes;i++){
            for(int j=0;j<numnodes;j++){
               Ke->values[i*numnodes+j] += (D_scalar*(vx*dbasis[0*numnodes+j]*basis[i] + vy*dbasis[1*numnodes+j]*basis[i]))*1e-2;
            }
         }
 
         /*Artificial diffusivity*/
         vel=sqrt(vx*vx + vy*vy)+1.e-14;
         D[0][0]=D_scalar*h/(2.*vel)*fabs(vx*vx);  D[0][1]=D_scalar*h/(2.*vel)*fabs(vx*vy);
         D[1][0]=D_scalar*h/(2.*vel)*fabs(vy*vx);  D[1][1]=D_scalar*h/(2.*vel)*fabs(vy*vy);
         TripleMultiply(Bprime,dim,numnodes,1,
                  &D[0][0],2,2,0,
                  Bprime,dim,numnodes,0,
                  &Ke->values[0],1);
      }
   }
 
   /*Clean up and return*/
   xDelete<IssmDouble>(xyz_list);
   xDelete<IssmDouble>(basis);
   xDelete<IssmDouble>(dbasis);
   xDelete<IssmDouble>(Bprime);
   delete gauss;
   if(domaintype!=Domain2DhorizontalEnum){basalelement->DeleteMaterials(); delete basalelement;};
   return Ke;
 
}/*}}}*/
ElementVector* GLheightadvectionAnalysis::CreatePVector(Element* element){/*{{{*/
   return NULL;
}/*}}}*/
void           GLheightadvectionAnalysis::GetSolutionFromInputs(Vector<IssmDouble>* solution,Element* element){/*{{{*/
   _error_("not implemented yet");
}/*}}}*/
void           GLheightadvectionAnalysis::GradientJ(Vector<IssmDouble>* gradient,Element* element,int control_type,int control_index){/*{{{*/
   _error_("Not implemented yet");
}/*}}}*/
void           GLheightadvectionAnalysis::InputUpdateFromSolution(IssmDouble* solution,Element* element){/*{{{*/
 
   int domaintype;
   element->FindParam(&domaintype,DomainTypeEnum);
   switch(domaintype){
      case Domain2DhorizontalEnum:
         element->InputUpdateFromSolutionOneDof(solution,GroundinglineHeightEnum);
         break;
      case Domain3DEnum:
         element->InputUpdateFromSolutionOneDofCollapsed(solution,GroundinglineHeightEnum);
         break;
      default: _error_("mesh "<<EnumToStringx(domaintype)<<" not supported yet");
   }
}/*}}}*/
void           GLheightadvectionAnalysis::UpdateConstraints(FemModel* femmodel){/*{{{*/
 
   /*Deal with ocean constraint*/
   SetActiveNodesLSMx(femmodel);
 
   /*Constrain all nodes that are grounded and unconstrain the ones that float*/
   for(int i=0;i<femmodel->elements->Size();i++){
      Element    *element  = xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
      int         numnodes  = element->GetNumberOfNodes();
      IssmDouble *mask      = xNew<IssmDouble>(numnodes);
      IssmDouble *bed       = xNew<IssmDouble>(numnodes);
      IssmDouble *ls_active = xNew<IssmDouble>(numnodes);
 
      element->GetInputListOnNodes(&mask[0],MaskOceanLevelsetEnum);
      element->GetInputListOnNodes(&bed[0],BaseEnum);
      element->GetInputListOnNodes(&ls_active[0],IceMaskNodeActivationEnum);
 
      for(int in=0;in<numnodes;in++){
         Node* node=element->GetNode(in);
         if(mask[in]<0. && ls_active[in]==1.){
            node->Activate();
         }
         else{
            node->Deactivate();
            node->ApplyConstraint(0,bed[in]);
         }
      }
      xDelete<IssmDouble>(mask);
      xDelete<IssmDouble>(bed);
      xDelete<IssmDouble>(ls_active);
   }
 
   return;
}/*}}}*/
 
void           GLheightadvectionAnalysis::GetB(IssmDouble* B,Element* element,int dim,IssmDouble* xyz_list,Gauss* gauss){/*{{{*/
   /*Compute B  matrix. B=[B1 B2 B3] where Bi is of size 3*2. 
    * For node i, Bi can be expressed in the actual coordinate system
    * by: 
    *       Bi=[ N ]
    *          [ N ]
    * where N is the finiteelement function for node i.
    *
    * We assume B_prog has been allocated already, of size: 2x(1*numnodes)
    */
 
   /*Fetch number of nodes for this finite element*/
   int numnodes = element->GetNumberOfNodes();
 
   /*Get nodal functions*/
   IssmDouble* basis=xNew<IssmDouble>(numnodes);
   element->NodalFunctions(basis,gauss);
 
   /*Build B: */
   for(int i=0;i<numnodes;i++){
      for(int j=0;j<dim;j++){
         B[numnodes*j+i] = basis[i];
      }
   }
 
   /*Clean-up*/
   xDelete<IssmDouble>(basis);
}/*}}}*/
void           GLheightadvectionAnalysis::GetBprime(IssmDouble* Bprime,Element* element,int dim,IssmDouble* xyz_list,Gauss* gauss){/*{{{*/
   /*Compute B'  matrix. B'=[B1' B2' B3'] where Bi' is of size 3*2. 
    * For node i, Bi' can be expressed in the actual coordinate system
    * by: 
    *       Bi_prime=[ dN/dx ]
    *                [ dN/dy ]
    * where N is the finiteelement function for node i.
    *
    * We assume B' has been allocated already, of size: 3x(2*numnodes)
    */
 
   /*Fetch number of nodes for this finite element*/
   int numnodes = element->GetNumberOfNodes();
 
   /*Get nodal functions derivatives*/
   IssmDouble* dbasis=xNew<IssmDouble>(dim*numnodes);
   element->NodalFunctionsDerivatives(dbasis,xyz_list,gauss);
 
   /*Build B': */
   for(int i=0;i<numnodes;i++){
      for(int j=0;j<dim;j++){
         Bprime[numnodes*j+i] = dbasis[j*numnodes+i];
      }
   }
 
   /*Clean-up*/
   xDelete<IssmDouble>(dbasis);
 
}/*}}}*/