SurfaceLogVxVyMisfitx.cpp

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#include "./SurfaceLogVxVyMisfitx.h"
 
#include "../../shared/shared.h"
#include "../../toolkits/toolkits.h"
#include "../../classes/Inputs2/DatasetInput2.h"
 
void SurfaceLogVxVyMisfitx( IssmDouble* pJ, Elements* elements,Nodes* nodes, Vertices* vertices, Loads* loads, Materials* materials,Parameters* parameters){
 
   /*output: */
   IssmDouble J=0.;
   IssmDouble J_sum;
 
   /*Compute Misfit: */
   for(int i=0;i<elements->Size();i++){
      Element* element=xDynamicCast<Element*>(elements->GetObjectByOffset(i));
      J+=SurfaceLogVxVyMisfit(element);
   }
 
   /*Sum all J from all cpus of the cluster:*/
   ISSM_MPI_Reduce (&J,&J_sum,1,ISSM_MPI_DOUBLE,ISSM_MPI_SUM,0,IssmComm::GetComm() );
   ISSM_MPI_Bcast(&J_sum,1,ISSM_MPI_DOUBLE,0,IssmComm::GetComm());
   J=J_sum;
 
   /*Assign output pointers: */
   *pJ=J;
}
 
IssmDouble SurfaceLogVxVyMisfit(Element* element){
 
   int        domaintype,numcomponents;
   IssmDouble Jelem=0.;
   IssmDouble epsvel=2.220446049250313e-16;
   IssmDouble meanvel=3.170979198376458e-05; /*1000 m/yr*/
   IssmDouble misfit,Jdet;
   IssmDouble vx,vy,vxobs,vyobs,weight;
   IssmDouble* xyz_list = NULL;
 
   /*Get basal element*/
   if(!element->IsOnSurface()) return 0.;
 
   /*If on water, return 0: */
   if(!element->IsIceInElement()) return 0.;
 
   /*Get problem dimension*/
   element->FindParam(&domaintype,DomainTypeEnum);
   switch(domaintype){
      case Domain2DverticalEnum:   numcomponents   = 1; break;
      case Domain3DEnum:           numcomponents   = 2; break;
      case Domain2DhorizontalEnum: numcomponents   = 2; break;
      default: _error_("not supported yet");
   }
 
   /*Spawn surface element*/
   Element* topelement = element->SpawnTopElement();
 
   /* Get node coordinates*/
   topelement->GetVerticesCoordinates(&xyz_list);
 
   /*Retrieve all inputs we will be needing: */
   DatasetInput2* weights_input=topelement->GetDatasetInput2(InversionCostFunctionsCoefficientsEnum); _assert_(weights_input);
   Input2* vx_input     =topelement->GetInput2(VxEnum);                                 _assert_(vx_input);
   Input2* vxobs_input  =topelement->GetInput2(InversionVxObsEnum);                     _assert_(vxobs_input);
   Input2* vy_input     = NULL;
   Input2* vyobs_input  = NULL;
   if(numcomponents==2){
      vy_input    =topelement->GetInput2(VyEnum);              _assert_(vy_input);
      vyobs_input =topelement->GetInput2(InversionVyObsEnum);  _assert_(vyobs_input);
   }
 
   /* Start  looping on the number of gaussian points: */
   Gauss* gauss=topelement->NewGauss(4);
   for(int ig=gauss->begin();ig<gauss->end();ig++){
 
      gauss->GaussPoint(ig);
 
      /* Get Jacobian determinant: */
      topelement->JacobianDeterminant(&Jdet,xyz_list,gauss);
 
      /*Get all parameters at gaussian point*/
      weights_input->GetInputValue(&weight,gauss,SurfaceLogVxVyMisfitEnum);
      vx_input->GetInputValue(&vx,gauss);
      vxobs_input->GetInputValue(&vxobs,gauss);
      if(numcomponents==2){
         vy_input->GetInputValue(&vy,gauss);
         vyobs_input->GetInputValue(&vyobs,gauss);
      }
 
      /*Compute SurfaceRelVelMisfit:
       *
       *      1            [        |u| + eps     2          |v| + eps     2  ]
       * J = --- \bar{v}^2 | log ( -----------  )   +  log ( -----------  )   |  
       *      2            [       |u    |+ eps              |v    |+ eps     ]
       *                              obs                       obs
       */
 
      if(numcomponents==1){
         misfit=0.5*meanvel*meanvel*pow(log((fabs(vx)+epsvel)/(fabs(vxobs)+epsvel)),2);
      }
      else{
         misfit=0.5*meanvel*meanvel*(
                  pow(log((fabs(vx)+epsvel)/(fabs(vxobs)+epsvel)),2) +
                  pow(log((fabs(vy)+epsvel)/(fabs(vyobs)+epsvel)),2) );
      }
 
      /*Add to cost function*/
      Jelem+=misfit*weight*Jdet*gauss->weight;
   }
 
   /*clean up and Return: */
   if(domaintype!=Domain2DhorizontalEnum){topelement->DeleteMaterials(); delete topelement;};
   xDelete<IssmDouble>(xyz_list);
   delete gauss;
   return Jelem;
}