source: issm/trunk-jpl/src/c/modules/SurfaceMassBalancex/SurfaceMassBalancex.cpp@ 19527

/*!\file SurfaceMassBalancex
 * \brief: calculates SMB 
 */

#include "./SurfaceMassBalancex.h"
#include "../../shared/shared.h"
#include "../../toolkits/toolkits.h"


void SmbGradientsx(FemModel* femmodel){/*{{{*/

        // void SurfaceMassBalancex(hd,agd,ni){
        //    INPUT parameters: ni: working size of arrays
        //    INPUT: surface elevation (m): hd(NA)
        //    OUTPUT: mass-balance (m/yr ice): agd(NA)
        int v;
        IssmDouble rho_water;                   // density of fresh water
        IssmDouble rho_ice;                     // density of ice

        /*Loop over all the elements of this partition*/
        for(int i=0;i<femmodel->elements->Size();i++){
                Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));

                /*Allocate all arrays*/
                int         numvertices = element->GetNumberOfVertices();
                IssmDouble* Href        = xNew<IssmDouble>(numvertices); // reference elevation from which deviations are used to calculate the SMB adjustment
                IssmDouble* Smbref      = xNew<IssmDouble>(numvertices); // reference SMB to which deviations are added
                IssmDouble* b_pos       = xNew<IssmDouble>(numvertices); // Hs-SMB relation parameter
                IssmDouble* b_neg       = xNew<IssmDouble>(numvertices); // Hs-SMB relation paremeter
                IssmDouble* s           = xNew<IssmDouble>(numvertices); // surface elevation (m)
                IssmDouble* smb         = xNew<IssmDouble>(numvertices);

                /*Recover SmbGradients*/
                element->GetInputListOnVertices(Href,SmbHrefEnum);
                element->GetInputListOnVertices(Smbref,SmbSmbrefEnum);
                element->GetInputListOnVertices(b_pos,SmbBPosEnum);
                element->GetInputListOnVertices(b_neg,SmbBNegEnum);

                /*Recover surface elevation at vertices: */
                element->GetInputListOnVertices(s,SurfaceEnum);

                /*Get material parameters :*/
                rho_ice=element->matpar->GetMaterialParameter(MaterialsRhoIceEnum);
                rho_water=element->matpar->GetMaterialParameter(MaterialsRhoFreshwaterEnum);

                // loop over all vertices
                for(v=0;v<numvertices;v++){
                        if(Smbref[v]>0){
                                smb[v]=Smbref[v]+b_pos[v]*(s[v]-Href[v]);
                        }
                        else{
                                smb[v]=Smbref[v]+b_neg[v]*(s[v]-Href[v]);
                        }
                        smb[v]=smb[v]/1000*rho_water/rho_ice;      // SMB in m/y ice
                }  //end of the loop over the vertices

                /*Add input to element and Free memory*/
                element->AddInput(SmbMassBalanceEnum,smb,P1Enum);
                xDelete<IssmDouble>(Href);
                xDelete<IssmDouble>(Smbref);
                xDelete<IssmDouble>(b_pos);
                xDelete<IssmDouble>(b_neg);
                xDelete<IssmDouble>(s);
                xDelete<IssmDouble>(smb);
        }

}/*}}}*/
void Delta18oParameterizationx(FemModel* femmodel){/*{{{*/

        for(int i=0;i<femmodel->elements->Size();i++){
                Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
                element->Delta18oParameterization();
        }

}/*}}}*/
void MungsmtpParameterizationx(FemModel* femmodel){/*{{{*/

        for(int i=0;i<femmodel->elements->Size();i++){
                Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
                element->MungsmtpParameterization();
        }

}/*}}}*/
void Delta18opdParameterizationx(FemModel* femmodel){/*{{{*/

        for(int i=0;i<femmodel->elements->Size();i++){
                Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
                element->Delta18opdParameterization();
        }

}/*}}}*/
void PositiveDegreeDayx(FemModel* femmodel){/*{{{*/

        // void PositiveDegreeDayx(hd,vTempsea,vPrec,agd,Tsurf,ni){
        //    note "v" prefix means 12 monthly means, ie time dimension
        //    INPUT parameters: ni: working size of arrays
        //    INPUT: surface elevation (m): hd(NA)
        //    monthly mean surface sealevel temperature (degrees C): vTempsea(NA
        //    ,NTIME) 
        //    monthly mean precip rate (m/yr water equivalent): vPrec(NA,NTIME)
        //    OUTPUT: mass-balance (m/yr ice): agd(NA)
        //    mean annual surface temperature (degrees C): Tsurf(NA)

        int    i, it, jj, itm;
        IssmDouble DT = 0.02, sigfac, snormfac;
        IssmDouble signorm = 5.5;      // signorm : sigma of the temperature distribution for a normal day 
        IssmDouble siglim;       // sigma limit for the integration which is equal to 2.5 sigmanorm
        IssmDouble signormc = signorm - 0.5;     // sigma of the temperature distribution for cloudy day
        IssmDouble siglimc, siglim0, siglim0c;
        IssmDouble tstep, tsint, tint, tstepc;
        int    NPDMAX = 1504, NPDCMAX = 1454;
        //IssmDouble pdds[NPDMAX]={0}; 
        //IssmDouble pds[NPDCMAX]={0};
        IssmDouble pddt, pd ; // pd : snow/precip fraction, precipitation falling as snow
        IssmDouble PDup, PDCUT = 2.0;    // PDcut: rain/snow cutoff temperature (C)
        IssmDouble tstar; // monthly mean surface temp

        bool ismungsm;

        IssmDouble *pdds    = NULL;
        IssmDouble *pds     = NULL;
        Element    *element = NULL;

        pdds=xNew<IssmDouble>(NPDMAX+1); 
        pds=xNew<IssmDouble>(NPDCMAX+1); 

        // Get ismungsm parameter
        femmodel->parameters->FindParam(&ismungsm,SmbIsmungsmEnum);

        /* initialize PDD (creation of a lookup table)*/
        tstep    = 0.1;
        tsint    = tstep*0.5;
        sigfac   = -1.0/(2.0*pow(signorm,2));
        snormfac = 1.0/(signorm*sqrt(2.0*acos(-1.0)));
        siglim   = 2.5*signorm;
        siglimc  = 2.5*signormc;
        siglim0  = siglim/DT + 0.5;
        siglim0c = siglimc/DT + 0.5;
        PDup     = siglimc+PDCUT;

        itm = reCast<int,IssmDouble>((2*siglim/DT + 1.5));

        if(itm >= NPDMAX) _error_("increase NPDMAX in massBalance.cpp");
        for(it = 0; it < itm; it++){  
                //    tstar = REAL(it)*DT-siglim;
                tstar = it*DT-siglim;
                tint = tsint;
                pddt = 0.;
                for ( jj = 0; jj < 600; jj++){
                        if (tint > (tstar+siglim)){break;}
                        pddt = pddt + tint*exp(sigfac*(pow((tint-tstar),2)))*tstep;
                        tint = tint+tstep;
                }
                pdds[it] = pddt*snormfac;
        }
        pdds[itm+1] = siglim + DT;

        //*********compute PD(T) : snow/precip fraction. precipitation falling as snow
        tstepc   = 0.1;
        tsint    = PDCUT-tstepc*0.5;
        signormc = signorm - 0.5;
        sigfac   = -1.0/(2.0*pow(signormc,2));
        snormfac = 1.0/(signormc*sqrt(2.0*acos(-1.0)));
        siglimc  = 2.5*signormc ;
        itm = reCast<int,IssmDouble>((PDCUT+2.*siglimc)/DT + 1.5);
        if(itm >= NPDCMAX) _error_("increase NPDCMAX in p35com");
        for(it = 0; it < itm; it++ ){
                tstar = it*DT-siglimc;
                //    tstar = REAL(it)*DT-siglimc;
                tint = tsint;          // start against upper bound
                pd = 0.;
                for (jj = 0; jj < 600; jj++){
                        if (tint<(tstar-siglimc)) {break;}
                        pd = pd + exp(sigfac*(pow((tint-tstar),2)))*tstepc;
                        tint = tint-tstepc;
                }
                pds[it] = pd*snormfac;  // gaussian integral lookup table for snow fraction
        }
        pds[itm+1] = 0.;
        //     *******END initialize PDD

        for(i=0;i<femmodel->elements->Size();i++){
                element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
                element->PositiveDegreeDay(pdds,pds,signorm,ismungsm);
        }
        /*free ressouces: */
        xDelete<IssmDouble>(pdds);
        xDelete<IssmDouble>(pds);
}/*}}}*/
void SmbHenningx(FemModel* femmodel){/*{{{*/

        /*Intermediaries*/
        IssmDouble  z_critical = 1675.;
        IssmDouble  dz = 0;
        IssmDouble  a = -15.86;
        IssmDouble  b = 0.00969;
        IssmDouble  c = -0.235;
        IssmDouble  f = 1.;
        IssmDouble  g = -0.0011;
        IssmDouble  h = -1.54e-5;
        IssmDouble  smb,smbref,anomaly,yts,z;
    
    /* Get constants */
    femmodel->parameters->FindParam(&yts,ConstantsYtsEnum);
    /*iomodel->Constant(&yts,ConstantsYtsEnum);*/
    /*this->parameters->FindParam(&yts,ConstantsYtsEnum);*/
    /*Mathieu original*/
    /*IssmDouble  smb,smbref,z;*/
    
        /*Loop over all the elements of this partition*/
        for(int i=0;i<femmodel->elements->Size();i++){
                Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));

                /*Get reference SMB (uncorrected) and allocate all arrays*/
                int         numvertices = element->GetNumberOfVertices();
                IssmDouble* surfacelist = xNew<IssmDouble>(numvertices);
                IssmDouble* smblistref  = xNew<IssmDouble>(numvertices);
                IssmDouble* smblist     = xNew<IssmDouble>(numvertices);
                element->GetInputListOnVertices(surfacelist,SurfaceEnum);
                element->GetInputListOnVertices(smblistref,SmbSmbrefEnum);

                /*Loop over all vertices of element and correct SMB as a function of altitude z*/
                for(int v=0;v<numvertices;v++){

                        /*Get vertex elevation, anoma smb*/
                        z      = surfacelist[v];
                        anomaly = smblistref[v];

            /* Henning edited acc. to Riannes equations*/
            /* Set SMB maximum elevation, if dz = 0 -> z_critical = 1675 */
            z_critical = z_critical + dz;
            
            /* Calculate smb acc. to the surface elevation z */
            if(z<z_critical){
                                smb = a + b*z + c;
                        }
                        else{
                          smb = (a + b*z)*(f + g*(z-z_critical) + h*(z-z_critical)*(z-z_critical)) + c;
                        }
            
                        /* Compute smb including anomaly,
                                correct for number of seconds in a year [s/yr]*/
                        smb = smb/yts + anomaly;


                        /*Update array accordingly*/
                        smblist[v] = smb;

                }

                /*Add input to element and Free memory*/
                element->AddInput(SmbMassBalanceEnum,smblist,P1Enum);
                xDelete<IssmDouble>(surfacelist);
                xDelete<IssmDouble>(smblistref);
                xDelete<IssmDouble>(smblist);
        }

}/*}}}*/
void SmbComponentsx(FemModel* femmodel){/*{{{*/

        // void SmbComponentsx(acc,evap,runoff,ni){
        //    INPUT parameters: ni: working size of arrays
        //    INPUT: surface accumulation (m/yr water equivalent): acc
        //    surface evaporation (m/yr water equivalent): evap
        //    surface runoff (m/yr water equivalent): runoff
        //    OUTPUT: mass-balance (m/yr ice): agd(NA)
        int v;

        /*Loop over all the elements of this partition*/
        for(int i=0;i<femmodel->elements->Size();i++){
                Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));

                /*Allocate all arrays*/
                int         numvertices = element->GetNumberOfVertices();
                IssmDouble* acc         = xNew<IssmDouble>(numvertices); 
                IssmDouble* evap        = xNew<IssmDouble>(numvertices);
                IssmDouble* runoff      = xNew<IssmDouble>(numvertices); 
                IssmDouble* smb         = xNew<IssmDouble>(numvertices);

                /*Recover Smb Components*/
                element->GetInputListOnVertices(acc,SmbAccumulationEnum);
                element->GetInputListOnVertices(evap,SmbEvaporationEnum);
                element->GetInputListOnVertices(runoff,SmbRunoffEnum);

                // loop over all vertices
                for(v=0;v<numvertices;v++){
                        smb[v]=acc[v]-evap[v]-runoff[v];
                }  //end of the loop over the vertices

                /*Add input to element and Free memory*/
                element->AddInput(SmbMassBalanceEnum,smb,P1Enum);
                xDelete<IssmDouble>(acc);
                xDelete<IssmDouble>(evap);
                xDelete<IssmDouble>(runoff);
                xDelete<IssmDouble>(smb);
        }

}/*}}}*/
void SmbMeltComponentsx(FemModel* femmodel){/*{{{*/

        // void SmbMeltComponentsx(acc,evap,melt,refreeze,ni){
        //    INPUT parameters: ni: working size of arrays
        //    INPUT: surface accumulation (m/yr water equivalent): acc
        //    surface evaporation (m/yr water equivalent): evap
        //    surface melt (m/yr water equivalent): melt
        //    refreeze of surface melt (m/yr water equivalent): refreeze
        //    OUTPUT: mass-balance (m/yr ice): agd(NA)
        int v;

        /*Loop over all the elements of this partition*/
        for(int i=0;i<femmodel->elements->Size();i++){
                Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));

                /*Allocate all arrays*/
                int         numvertices = element->GetNumberOfVertices();
                IssmDouble* acc         = xNew<IssmDouble>(numvertices);
                IssmDouble* evap        = xNew<IssmDouble>(numvertices); 
                IssmDouble* melt        = xNew<IssmDouble>(numvertices);
                IssmDouble* refreeze    = xNew<IssmDouble>(numvertices);
                IssmDouble* smb         = xNew<IssmDouble>(numvertices);

                /*Recover Smb Components*/
                element->GetInputListOnVertices(acc,SmbAccumulationEnum);
                element->GetInputListOnVertices(evap,SmbEvaporationEnum);
                element->GetInputListOnVertices(melt,SmbMeltEnum);
                element->GetInputListOnVertices(refreeze,SmbRefreezeEnum);

                // loop over all vertices
                for(v=0;v<numvertices;v++){
                        smb[v]=acc[v]-evap[v]-melt[v]+refreeze[v];
                }  //end of the loop over the vertices

                /*Add input to element and Free memory*/
                element->AddInput(SmbMassBalanceEnum,smb,P1Enum);
                xDelete<IssmDouble>(acc);
                xDelete<IssmDouble>(evap);
                xDelete<IssmDouble>(melt);
                xDelete<IssmDouble>(refreeze);
                xDelete<IssmDouble>(smb);
        }

}/*}}}*/