source: issm/trunk-jpl/src/c/analyses/HydrologyShreveAnalysis.cpp@ 18055

#include "./HydrologyShreveAnalysis.h"
#include "../toolkits/toolkits.h"
#include "../classes/classes.h"
#include "../shared/shared.h"
#include "../modules/modules.h"

/*Model processing*/
int  HydrologyShreveAnalysis::DofsPerNode(int** doflist,int domaintype,int approximation){/*{{{*/
        return 1;
}/*}}}*/
void HydrologyShreveAnalysis::UpdateParameters(Parameters* parameters,IoModel* iomodel,int solution_enum,int analysis_enum){/*{{{*/

        /*retrieve some parameters: */
        int  hydrology_model;
        iomodel->Constant(&hydrology_model,HydrologyModelEnum);

        /*Now, do we really want Shreve?*/
        if(hydrology_model!=HydrologyshreveEnum) return;

        parameters->AddObject(new IntParam(HydrologyModelEnum,hydrology_model));
        parameters->AddObject(iomodel->CopyConstantObject(HydrologyshreveStabilizationEnum));

}/*}}}*/
void HydrologyShreveAnalysis::UpdateElements(Elements* elements,IoModel* iomodel,int analysis_counter,int analysis_type){/*{{{*/

        /*Fetch data needed: */
        int    hydrology_model;
        iomodel->Constant(&hydrology_model,HydrologyModelEnum);

        /*Now, do we really want Shreve?*/
        if(hydrology_model!=HydrologyshreveEnum) return;

        /*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(i,iomodel,analysis_counter,analysis_type,P1Enum);
                        counter++;
                }
        }

        iomodel->FetchDataToInput(elements,ThicknessEnum);
        iomodel->FetchDataToInput(elements,SurfaceEnum);
        iomodel->FetchDataToInput(elements,BaseEnum);
        if(iomodel->domaintype!=Domain2DhorizontalEnum){
                iomodel->FetchDataToInput(elements,MeshVertexonbaseEnum);
                iomodel->FetchDataToInput(elements,MeshVertexonsurfaceEnum);
        }
        iomodel->FetchDataToInput(elements,MaskIceLevelsetEnum);
        iomodel->FetchDataToInput(elements,MaskGroundediceLevelsetEnum);
        iomodel->FetchDataToInput(elements,BasalforcingsMeltingRateEnum);
        iomodel->FetchDataToInput(elements,WatercolumnEnum);

        elements->InputDuplicate(WatercolumnEnum,WaterColumnOldEnum);
}/*}}}*/
void HydrologyShreveAnalysis::CreateNodes(Nodes* nodes,IoModel* iomodel){/*{{{*/

        /*Fetch parameters: */
        int  hydrology_model;
        iomodel->Constant(&hydrology_model,HydrologyModelEnum);

        /*Now, do we really want Shreve?*/
        if(hydrology_model!=HydrologyshreveEnum) return;

        if(iomodel->domaintype==Domain3DEnum) iomodel->FetchData(2,MeshVertexonbaseEnum,MeshVertexonsurfaceEnum);
        ::CreateNodes(nodes,iomodel,HydrologyShreveAnalysisEnum,P1Enum);
        iomodel->DeleteData(2,MeshVertexonbaseEnum,MeshVertexonsurfaceEnum);
}/*}}}*/
void HydrologyShreveAnalysis::CreateConstraints(Constraints* constraints,IoModel* iomodel){/*{{{*/

        /*retrieve some parameters: */
        int          hydrology_model;
        iomodel->Constant(&hydrology_model,HydrologyModelEnum);

        if(hydrology_model!=HydrologyshreveEnum) return;

        IoModelToConstraintsx(constraints,iomodel,HydrologyshreveSpcwatercolumnEnum,HydrologyShreveAnalysisEnum,P1Enum);

}/*}}}*/
void HydrologyShreveAnalysis::CreateLoads(Loads* loads, IoModel* iomodel){/*{{{*/
        /*No loads*/
}/*}}}*/

/*Finite Element Analysis*/
void           HydrologyShreveAnalysis::Core(FemModel* femmodel){/*{{{*/
        _error_("not implemented");
}/*}}}*/
ElementVector* HydrologyShreveAnalysis::CreateDVector(Element* element){/*{{{*/
        /*Default, return NULL*/
        return NULL;
}/*}}}*/
ElementMatrix* HydrologyShreveAnalysis::CreateJacobianMatrix(Element* element){/*{{{*/
_error_("Not implemented");
}/*}}}*/
ElementMatrix* HydrologyShreveAnalysis::CreateKMatrix(Element* element){/*{{{*/

        /*Intermediaries */
        IssmDouble diffusivity;
        IssmDouble Jdet,D_scalar,dt,h;
        IssmDouble vx,vy,vel,dvxdx,dvydy;
        IssmDouble dvx[2],dvy[2];
        IssmDouble* xyz_list = NULL;

        /*Fetch number of nodes and dof for this finite element*/
        int numnodes = element->GetNumberOfNodes();

        /*Initialize Element vector and other vectors*/
        ElementMatrix* Ke     = element->NewElementMatrix();
        IssmDouble*    basis  = xNew<IssmDouble>(numnodes);
        IssmDouble*    B      = xNew<IssmDouble>(2*numnodes);
        IssmDouble*    Bprime = xNew<IssmDouble>(2*numnodes);
        IssmDouble     D[2][2]={0.};

        /*Create water velocity vx and vy from current inputs*/
        CreateHydrologyWaterVelocityInput(element);

        /*Retrieve all inputs and parameters*/
        element->GetVerticesCoordinates(&xyz_list);
        element->FindParam(&dt,TimesteppingTimeStepEnum);
        element->FindParam(&diffusivity,HydrologyshreveStabilizationEnum);
        Input* vx_input=element->GetInput(HydrologyWaterVxEnum); _assert_(vx_input);
        Input* vy_input=element->GetInput(HydrologyWaterVyEnum); _assert_(vy_input);
        h = element->CharacteristicLength();

        /* Start  looping on the number of gaussian points: */
        Gauss* gauss=element->NewGauss(2);
        for(int ig=gauss->begin();ig<gauss->end();ig++){
                gauss->GaussPoint(ig);

                element->JacobianDeterminant(&Jdet,xyz_list,gauss);
                element->NodalFunctions(basis,gauss);

                vx_input->GetInputValue(&vx,gauss);
                vy_input->GetInputValue(&vy,gauss);
                vx_input->GetInputDerivativeValue(&dvx[0],xyz_list,gauss);
                vy_input->GetInputDerivativeValue(&dvy[0],xyz_list,gauss);

                D_scalar=gauss->weight*Jdet;

                TripleMultiply(basis,1,numnodes,1,
                                        &D_scalar,1,1,0,
                                        basis,1,numnodes,0,
                                        Ke->values,1);

                GetB(B,element,xyz_list,gauss);
                GetBprime(Bprime,element,xyz_list,gauss);

                dvxdx=dvx[0];
                dvydy=dvy[1];
                D_scalar=dt*gauss->weight*Jdet;

                D[0][0]=D_scalar*dvxdx;
                D[1][1]=D_scalar*dvydy;
                TripleMultiply(B,2,numnodes,1,
                                        &D[0][0],2,2,0,
                                        B,2,numnodes,0,
                                        &Ke->values[0],1);

                D[0][0]=D_scalar*vx;
                D[1][1]=D_scalar*vy;
                TripleMultiply(B,2,numnodes,1,
                                        &D[0][0],2,2,0,
                                        Bprime,2,numnodes,0,
                                        &Ke->values[0],1);

                /*Artificial diffusivity*/
                vel=sqrt(vx*vx+vy*vy);
                D[0][0]=D_scalar*diffusivity*h/(2*vel)*vx*vx;
                D[1][0]=D_scalar*diffusivity*h/(2*vel)*vy*vx;
                D[0][1]=D_scalar*diffusivity*h/(2*vel)*vx*vy;
                D[1][1]=D_scalar*diffusivity*h/(2*vel)*vy*vy;
                TripleMultiply(Bprime,2,numnodes,1,
                                        &D[0][0],2,2,0,
                                        Bprime,2,numnodes,0,
                                        &Ke->values[0],1);
        }

        /*Clean up and return*/
        xDelete<IssmDouble>(xyz_list);
        xDelete<IssmDouble>(basis);
        xDelete<IssmDouble>(B);
        xDelete<IssmDouble>(Bprime);
        delete gauss;
        return Ke;
}/*}}}*/
ElementVector* HydrologyShreveAnalysis::CreatePVector(Element* element){/*{{{*/

        /*Skip if water or ice shelf element*/
        if(element->IsFloating()) return NULL;

        /*Intermediaries */
        IssmDouble  Jdet,dt;
        IssmDouble  mb,oldw;
        IssmDouble* xyz_list = NULL;

        /*Fetch number of nodes and dof for this finite element*/
        int numnodes = element->GetNumberOfNodes();

        /*Initialize Element vector and other vectors*/
        ElementVector* pe    = element->NewElementVector();
        IssmDouble*    basis = xNew<IssmDouble>(numnodes);

        /*Retrieve all inputs and parameters*/
        element->GetVerticesCoordinates(&xyz_list);
        element->FindParam(&dt,TimesteppingTimeStepEnum);
        Input* mb_input   = element->GetInput(BasalforcingsMeltingRateEnum); _assert_(mb_input);
        Input* oldw_input = element->GetInput(WaterColumnOldEnum);           _assert_(oldw_input);

        /*Initialize mb_correction to 0, do not forget!:*/
        /* Start  looping on the number of gaussian points: */
        Gauss* gauss=element->NewGauss(2);
        for(int ig=gauss->begin();ig<gauss->end();ig++){
                gauss->GaussPoint(ig);

                element->JacobianDeterminant(&Jdet,xyz_list,gauss);
                element->NodalFunctions(basis,gauss);

                mb_input->GetInputValue(&mb,gauss);
                oldw_input->GetInputValue(&oldw,gauss);

                if(dt!=0.){
                        for(int i=0;i<numnodes;i++) pe->values[i]+=Jdet*gauss->weight*(oldw+dt*mb)*basis[i];
                }
                else{
                        for(int i=0;i<numnodes;i++) pe->values[i]+=Jdet*gauss->weight*mb*basis[i];
                }
        }

        /*Clean up and return*/
        xDelete<IssmDouble>(xyz_list);
        xDelete<IssmDouble>(basis);
        delete gauss;
        return pe;
}/*}}}*/
void HydrologyShreveAnalysis::GetB(IssmDouble* B,Element* element,IssmDouble* xyz_list,Gauss* gauss){/*{{{*/
        /*Compute B  matrix. B=[B1 B2 B3] where Bi is of size 3*NDOF2. 
         * 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(NDOF1*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++){
                B[numnodes*0+i] = basis[i];
                B[numnodes*1+i] = basis[i];
        }

        /*Clean-up*/
        xDelete<IssmDouble>(basis);
}/*}}}*/
void HydrologyShreveAnalysis::GetBprime(IssmDouble* Bprime,Element* element,IssmDouble* xyz_list,Gauss* gauss){/*{{{*/
        /*Compute B'  matrix. B'=[B1' B2' B3'] where Bi' is of size 3*NDOF2. 
         * 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(NDOF2*numnodes)
         */

        /*Fetch number of nodes for this finite element*/
        int numnodes = element->GetNumberOfNodes();

        /*Get nodal functions derivatives*/
        IssmDouble* dbasis=xNew<IssmDouble>(2*numnodes);
        element->NodalFunctionsDerivatives(dbasis,xyz_list,gauss);

        /*Build B': */
        for(int i=0;i<numnodes;i++){
                Bprime[numnodes*0+i] = dbasis[0*numnodes+i];
                Bprime[numnodes*1+i] = dbasis[1*numnodes+i];
        }

        /*Clean-up*/
        xDelete<IssmDouble>(dbasis);

}/*}}}*/
void HydrologyShreveAnalysis::GetSolutionFromInputs(Vector<IssmDouble>* solution,Element* element){/*{{{*/
        element->GetSolutionFromInputsOneDof(solution,WatercolumnEnum);
}/*}}}*/
void HydrologyShreveAnalysis::GradientJ(Vector<IssmDouble>* gradient,int control_index){/*{{{*/
        _error_("Not implemented yet");
}/*}}}*/
void HydrologyShreveAnalysis::InputUpdateFromSolution(IssmDouble* solution,Element* element){/*{{{*/

        /*Intermediary*/
        int* doflist = NULL;

        /*Fetch number of nodes for this finite element*/
        int numnodes = element->GetNumberOfNodes();

        /*Fetch dof list and allocate solution vector*/
        element->GetDofList(&doflist,NoneApproximationEnum,GsetEnum);
        IssmDouble* values = xNew<IssmDouble>(numnodes);

        /*Use the dof list to index into the solution vector: */
        for(int i=0;i<numnodes;i++){
                values[i]=solution[doflist[i]];
                if(xIsNan<IssmDouble>(values[i])) _error_("NaN found in solution vector");
                if (values[i]<10e-10) values[i]=10e-10; //correcting the water column to positive values
        }

        /*Add input to the element: */
        element->AddInput(WatercolumnEnum,values,element->GetElementType());

        /*Free ressources:*/
        xDelete<IssmDouble>(values);
        xDelete<int>(doflist);
}/*}}}*/
void HydrologyShreveAnalysis::UpdateConstraints(FemModel* femmodel){/*{{{*/
        /*Default, do nothing*/
        return;
}/*}}}*/

/*Intermediaries*/
void HydrologyShreveAnalysis::CreateHydrologyWaterVelocityInput(Element* element){/*{{{*/

        /*Intermediaries*/
        IssmDouble dsdx,dsdy,dbdx,dbdy,w;

        /*Retrieve all inputs and parameters*/
        IssmDouble  rho_ice   = element->GetMaterialParameter(MaterialsRhoIceEnum);
        IssmDouble  rho_water = element->GetMaterialParameter(MaterialsRhoSeawaterEnum);
        IssmDouble  g         = element->GetMaterialParameter(ConstantsGEnum);
        IssmDouble  mu_water  = element->GetMaterialParameter(MaterialsMuWaterEnum);
        Input* surfaceslopex_input = element->GetInput(SurfaceSlopeXEnum); _assert_(surfaceslopex_input);
        Input* surfaceslopey_input = element->GetInput(SurfaceSlopeYEnum); _assert_(surfaceslopey_input);
        Input* bedslopex_input     = element->GetInput(BedSlopeXEnum);     _assert_(bedslopex_input);
        Input* bedslopey_input     = element->GetInput(BedSlopeYEnum);     _assert_(bedslopey_input);
        Input* watercolumn_input   = element->GetInput(WatercolumnEnum);   _assert_(watercolumn_input);

        /*Fetch number of vertices and allocate output*/
        int numvertices = element->GetNumberOfVertices();
        IssmDouble* vx  = xNew<IssmDouble>(numvertices);
        IssmDouble* vy  = xNew<IssmDouble>(numvertices);

        Gauss* gauss=element->NewGauss();
        for(int iv=0;iv<numvertices;iv++){
                gauss->GaussVertex(iv);
                surfaceslopex_input->GetInputValue(&dsdx,gauss);
                surfaceslopey_input->GetInputValue(&dsdy,gauss);
                bedslopex_input->GetInputValue(&dbdx,gauss);
                bedslopey_input->GetInputValue(&dbdy,gauss);
                watercolumn_input->GetInputValue(&w,gauss);

                /* Water velocity x and y components */
                vx[iv]= - w*w/(12 * mu_water)*(rho_ice*g*dsdx+(rho_water-rho_ice)*g*dbdx);
                vy[iv]= - w*w/(12 * mu_water)*(rho_ice*g*dsdy+(rho_water-rho_ice)*g*dbdy);
        }

        /*clean-up*/
        delete gauss;

        /*Add to inputs*/
        element->AddInput(HydrologyWaterVxEnum,vx,P1Enum);
        element->AddInput(HydrologyWaterVyEnum,vy,P1Enum);
        xDelete<IssmDouble>(vx);
        xDelete<IssmDouble>(vy);
}/*}}}*/



/*Needed changes to switch to the Johnson formulation*//*{{{*/
/*All the changes are to be done in the velocity computation.
        The new velocity needs some new parameter that should be introduce in the hydrologyshreve class:
        'p' and 'q' which are the exponent of the Manning formula for laminar (p=2,q=1) or turbulent (p=2/3,q=1/2) flow
        'R' the hydraulic radius
        'n' the manning roughness coeficient

        With these, the velocity reads ;

        v= - (1/n)* pow(R,p)*pow((grad phi(rho_water*g)),q)

        you should also redefine the water pressure potential 'phi' with respect to the effective pressure deffinition given in Johson:
        phi=(rho_ice*g*( surface + ((rho_water/rho_ice)-1)*base - k_n*((thickness* grad(base))/omega) )

        where 
        'omega' is the fractional area of the base occupied by the water film
        'k_n' is a parameter
        This last equation derives from the effective pressure definition developped in Alley 1989
*/
/*}}}*/