[17085] | 1 | /*!\file SurfaceMassBalancex
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| 2 | * \brief: calculates SMB
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| 3 | */
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| 4 |
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| 5 | #include "./SurfaceMassBalancex.h"
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| 6 | #include "../../shared/shared.h"
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| 7 | #include "../../toolkits/toolkits.h"
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| 8 |
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| 9 | void SurfaceMassBalancex(FemModel* femmodel){/*{{{*/
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| 10 |
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| 11 | /*Intermediaties*/
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| 12 | int smb_model;
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| 13 | bool isdelta18o;
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| 14 |
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| 15 | /*First, get SMB model from parameters*/
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| 16 | femmodel->parameters->FindParam(&smb_model,SurfaceforcingsEnum);
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| 17 |
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| 18 | /*branch to correct module*/
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| 19 | switch(smb_model){
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| 20 | case SMBEnum:
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| 21 | /*Nothing to be done*/
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| 22 | break;
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| 23 | case SMBpddEnum:
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| 24 | femmodel->parameters->FindParam(&isdelta18o,SurfaceforcingsIsdelta18oEnum);
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| 25 | if(isdelta18o){
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| 26 | if(VerboseSolution()) _printf0_(" call Delta18oParametrization module\n");
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| 27 | Delta18oParameterizationx(femmodel);
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| 28 | }
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| 29 | if(VerboseSolution()) _printf0_(" call positive degree day module\n");
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| 30 | PositiveDegreeDayx(femmodel);
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| 31 | break;
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| 32 | case SMBgradientsEnum:
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| 33 | if(VerboseSolution())_printf_(" call smb gradients module\n");
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| 34 | SmbGradientsx(femmodel);
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| 35 | break;
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| 36 | case SMBhenningEnum:
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| 37 | if(VerboseSolution())_printf_(" call smb Henning module\n");
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| 38 | SmbHenningx(femmodel);
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[17087] | 39 | break;
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[18001] | 40 | case SMBcomponentsEnum:
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| 41 | if(VerboseSolution())_printf_(" call smb Components module\n");
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| 42 | SmbComponentsx(femmodel);
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| 43 | break;
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| 44 | case SMBmeltcomponentsEnum:
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| 45 | if(VerboseSolution())_printf_(" call smb Melt Components module\n");
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| 46 | SmbMeltComponentsx(femmodel);
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| 47 | break;
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[17085] | 48 | default:
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| 49 | _error_("Surface mass balance model "<<EnumToStringx(smb_model)<<" not supported yet");
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| 50 | }
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| 51 |
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| 52 | }/*}}}*/
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| 53 |
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| 54 | void SmbGradientsx(FemModel* femmodel){/*{{{*/
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| 55 |
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| 56 | // void SurfaceMassBalancex(hd,agd,ni){
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| 57 | // INPUT parameters: ni: working size of arrays
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| 58 | // INPUT: surface elevation (m): hd(NA)
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| 59 | // OUTPUT: mass-balance (m/yr ice): agd(NA)
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[18001] | 60 | int v;
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| 61 | IssmDouble rho_water; // density of fresh water
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| 62 | IssmDouble rho_ice; // density of ice
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[17085] | 63 |
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[18001] | 64 | /*Loop over all the elements of this partition*/
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[17085] | 65 | for(int i=0;i<femmodel->elements->Size();i++){
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| 66 | Element* element=dynamic_cast<Element*>(femmodel->elements->GetObjectByOffset(i));
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[18001] | 67 |
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| 68 | /*Allocate all arrays*/
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| 69 | int numvertices = element->GetNumberOfVertices();
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| 70 | IssmDouble* Href = xNew<IssmDouble>(numvertices); // reference elevation from which deviations are used to calculate the SMB adjustment
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| 71 | IssmDouble* Smbref = xNew<IssmDouble>(numvertices); // reference SMB to which deviations are added
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| 72 | IssmDouble* b_pos = xNew<IssmDouble>(numvertices); // Hs-SMB relation parameter
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| 73 | IssmDouble* b_neg = xNew<IssmDouble>(numvertices); // Hs-SMB relation paremeter
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| 74 | IssmDouble* h = xNew<IssmDouble>(numvertices); // ice thickness (m)
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| 75 | IssmDouble* s = xNew<IssmDouble>(numvertices); // surface elevation (m)
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| 76 | IssmDouble* smb = xNew<IssmDouble>(numvertices);
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| 77 |
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| 78 | /*Recover SmbGradients*/
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| 79 | element->GetInputListOnVertices(Href,SurfaceforcingsHrefEnum);
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| 80 | element->GetInputListOnVertices(Smbref,SurfaceforcingsSmbrefEnum);
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| 81 | element->GetInputListOnVertices(b_pos,SurfaceforcingsBPosEnum);
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| 82 | element->GetInputListOnVertices(b_neg,SurfaceforcingsBNegEnum);
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| 83 |
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| 84 | /*Recover surface elevatio at vertices: */
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| 85 | element->GetInputListOnVertices(h,ThicknessEnum);
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| 86 | element->GetInputListOnVertices(s,SurfaceEnum);
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| 87 |
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| 88 | /*Get material parameters :*/
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| 89 | rho_ice=element->matpar->GetRhoIce();
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| 90 | rho_water=element->matpar->GetRhoFreshwater();
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| 91 |
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| 92 | // loop over all vertices
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| 93 | for(v=0;v<numvertices;v++){
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| 94 | if(Smbref[v]>0){
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| 95 | smb[v]=Smbref[v]+b_pos[v]*(s[v]-Href[v]);
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| 96 | }
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| 97 | else{
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| 98 | smb[v]=Smbref[v]+b_neg[v]*(s[v]-Href[v]);
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| 99 | }
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| 100 | smb[v]=smb[v]/rho_ice; // SMB in m/y ice
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| 101 | } //end of the loop over the vertices
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| 102 |
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| 103 | /*Add input to element and Free memory*/
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| 104 | element->AddInput(SurfaceforcingsMassBalanceEnum,smb,P1Enum);
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| 105 | xDelete<IssmDouble>(Href);
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| 106 | xDelete<IssmDouble>(Smbref);
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| 107 | xDelete<IssmDouble>(b_pos);
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| 108 | xDelete<IssmDouble>(b_neg);
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| 109 | xDelete<IssmDouble>(h);
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| 110 | xDelete<IssmDouble>(s);
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| 111 | xDelete<IssmDouble>(smb);
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[17085] | 112 | }
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| 113 |
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| 114 | }/*}}}*/
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| 115 | void Delta18oParameterizationx(FemModel* femmodel){/*{{{*/
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| 116 |
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| 117 | for(int i=0;i<femmodel->elements->Size();i++){
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| 118 | Element* element=dynamic_cast<Element*>(femmodel->elements->GetObjectByOffset(i));
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| 119 | element->Delta18oParameterization();
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| 120 | }
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| 121 |
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| 122 | }/*}}}*/
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| 123 | void PositiveDegreeDayx(FemModel* femmodel){/*{{{*/
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| 124 |
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| 125 | // void PositiveDegreeDayx(hd,vTempsea,vPrec,agd,Tsurf,ni){
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| 126 | // note "v" prefix means 12 monthly means, ie time dimension
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| 127 | // INPUT parameters: ni: working size of arrays
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| 128 | // INPUT: surface elevation (m): hd(NA)
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| 129 | // monthly mean surface sealevel temperature (degrees C): vTempsea(NA
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| 130 | // ,NTIME)
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| 131 | // monthly mean precip rate (m/yr water equivalent): vPrec(NA,NTIME)
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| 132 | // OUTPUT: mass-balance (m/yr ice): agd(NA)
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| 133 | // mean annual surface temperature (degrees C): Tsurf(NA)
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| 134 |
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| 135 | int i, it, jj, itm;
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| 136 | IssmDouble DT = 0.02, sigfac, snormfac;
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| 137 | IssmDouble signorm = 5.5; // signorm : sigma of the temperature distribution for a normal day
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| 138 | IssmDouble siglim; // sigma limit for the integration which is equal to 2.5 sigmanorm
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| 139 | IssmDouble signormc = signorm - 0.5; // sigma of the temperature distribution for cloudy day
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| 140 | IssmDouble siglimc, siglim0, siglim0c;
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| 141 | IssmDouble tstep, tsint, tint, tstepc;
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| 142 | int NPDMAX = 1504, NPDCMAX = 1454;
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| 143 | //IssmDouble pdds[NPDMAX]={0};
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| 144 | //IssmDouble pds[NPDCMAX]={0};
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| 145 | IssmDouble pddt, pd ; // pd : snow/precip fraction, precipitation falling as snow
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| 146 | IssmDouble PDup, PDCUT = 2.0; // PDcut: rain/snow cutoff temperature (C)
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| 147 | IssmDouble tstar; // monthly mean surface temp
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| 148 |
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| 149 | IssmDouble *pdds = NULL;
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| 150 | IssmDouble *pds = NULL;
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| 151 | Element *element = NULL;
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| 152 |
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| 153 | pdds=xNew<IssmDouble>(NPDMAX+1);
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| 154 | pds=xNew<IssmDouble>(NPDCMAX+1);
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| 155 |
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| 156 | /* initialize PDD (creation of a lookup table)*/
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| 157 | tstep = 0.1;
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| 158 | tsint = tstep*0.5;
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| 159 | sigfac = -1.0/(2.0*pow(signorm,2));
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| 160 | snormfac = 1.0/(signorm*sqrt(2.0*acos(-1.0)));
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| 161 | siglim = 2.5*signorm;
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| 162 | siglimc = 2.5*signormc;
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| 163 | siglim0 = siglim/DT + 0.5;
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| 164 | siglim0c = siglimc/DT + 0.5;
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| 165 | PDup = siglimc+PDCUT;
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| 166 |
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| 167 | itm = reCast<int,IssmDouble>((2*siglim/DT + 1.5));
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| 168 |
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| 169 | if(itm >= NPDMAX) _error_("increase NPDMAX in massBalance.cpp");
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| 170 | for(it = 0; it < itm; it++){
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| 171 | // tstar = REAL(it)*DT-siglim;
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| 172 | tstar = it*DT-siglim;
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| 173 | tint = tsint;
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| 174 | pddt = 0.;
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| 175 | for ( jj = 0; jj < 600; jj++){
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| 176 | if (tint > (tstar+siglim)){break;}
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| 177 | pddt = pddt + tint*exp(sigfac*(pow((tint-tstar),2)))*tstep;
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| 178 | tint = tint+tstep;
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| 179 | }
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| 180 | pdds[it] = pddt*snormfac;
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| 181 | }
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| 182 | pdds[itm+1] = siglim + DT;
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| 183 |
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| 184 | //*********compute PD(T) : snow/precip fraction. precipitation falling as snow
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| 185 | tstepc = 0.1;
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| 186 | tsint = PDCUT-tstepc*0.5;
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| 187 | signormc = signorm - 0.5;
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| 188 | sigfac = -1.0/(2.0*pow(signormc,2));
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| 189 | snormfac = 1.0/(signormc*sqrt(2.0*acos(-1.0)));
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| 190 | siglimc = 2.5*signormc ;
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| 191 | itm = reCast<int,IssmDouble>((PDCUT+2.*siglimc)/DT + 1.5);
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| 192 | if(itm >= NPDCMAX) _error_("increase NPDCMAX in p35com");
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| 193 | for(it = 0; it < itm; it++ ){
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| 194 | tstar = it*DT-siglimc;
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| 195 | // tstar = REAL(it)*DT-siglimc;
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| 196 | tint = tsint; // start against upper bound
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| 197 | pd = 0.;
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| 198 | for (jj = 0; jj < 600; jj++){
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| 199 | if (tint<(tstar-siglimc)) {break;}
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| 200 | pd = pd + exp(sigfac*(pow((tint-tstar),2)))*tstepc;
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| 201 | tint = tint-tstepc;
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| 202 | }
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| 203 | pds[it] = pd*snormfac; // gaussian integral lookup table for snow fraction
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| 204 | }
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| 205 | pds[itm+1] = 0.;
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| 206 | // *******END initialize PDD
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| 207 |
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| 208 | for(i=0;i<femmodel->elements->Size();i++){
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| 209 | element=dynamic_cast<Element*>(femmodel->elements->GetObjectByOffset(i));
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| 210 | element->PositiveDegreeDay(pdds,pds,signorm);
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| 211 | }
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| 212 |
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| 213 | /*free ressouces: */
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| 214 | xDelete<IssmDouble>(pdds);
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| 215 | xDelete<IssmDouble>(pds);
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| 216 | }/*}}}*/
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| 217 | void SmbHenningx(FemModel* femmodel){/*{{{*/
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| 218 |
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[17087] | 219 | /*Intermediaries*/
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[17403] | 220 | IssmDouble z_critical = 1675.;
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| 221 | IssmDouble dz = 0;
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| 222 | IssmDouble a = -15.86;
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| 223 | IssmDouble b = 0.00969;
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| 224 | IssmDouble c = -0.235;
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| 225 | IssmDouble f = 1.;
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| 226 | IssmDouble g = -0.0011;
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| 227 | IssmDouble h = -1.54e-5;
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| 228 | IssmDouble smb,smbref,anomaly,yts,z;
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| 229 |
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| 230 | /* Get constants */
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| 231 | femmodel->parameters->FindParam(&yts,ConstantsYtsEnum);
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| 232 | /*iomodel->Constant(&yts,ConstantsYtsEnum);*/
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| 233 | /*this->parameters->FindParam(&yts,ConstantsYtsEnum);*/
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| 234 | /*Mathieu original*/
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| 235 | /*IssmDouble smb,smbref,z;*/
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| 236 |
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[17087] | 237 | /*Loop over all the elements of this partition*/
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[17085] | 238 | for(int i=0;i<femmodel->elements->Size();i++){
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| 239 | Element* element=dynamic_cast<Element*>(femmodel->elements->GetObjectByOffset(i));
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[17087] | 240 |
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| 241 | /*Get reference SMB (uncorrected) and allocate all arrays*/
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| 242 | int numvertices = element->GetNumberOfVertices();
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| 243 | IssmDouble* surfacelist = xNew<IssmDouble>(numvertices);
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| 244 | IssmDouble* smblistref = xNew<IssmDouble>(numvertices);
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| 245 | IssmDouble* smblist = xNew<IssmDouble>(numvertices);
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| 246 | element->GetInputListOnVertices(surfacelist,SurfaceEnum);
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| 247 | element->GetInputListOnVertices(smblistref,SurfaceforcingsSmbrefEnum);
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| 248 |
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| 249 | /*Loop over all vertices of element and correct SMB as a function of altitude z*/
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| 250 | for(int v=0;v<numvertices;v++){
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| 251 |
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[17403] | 252 | /*Get vertex elevation, anoma smb*/
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[17087] | 253 | z = surfacelist[v];
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[17403] | 254 | anomaly = smblistref[v];
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[17087] | 255 |
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[17403] | 256 | /* Henning edited acc. to Riannes equations*/
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| 257 | /* Set SMB maximum elevation, if dz = 0 -> z_critical = 1675 */
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| 258 | z_critical = z_critical + dz;
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| 259 |
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| 260 | /* Calculate smb acc. to the surface elevation z */
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| 261 | if(z<z_critical){
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| 262 | smb = a + b*z + c;
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[17087] | 263 | }
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| 264 | else{
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[17403] | 265 | smb = (a + b*z)*(f + g*(z-z_critical) + h*(z-z_critical)*(z-z_critical)) + c;
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[17087] | 266 | }
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[17403] | 267 |
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| 268 | /* Compute smb including anomaly,
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| 269 | correct for number of seconds in a year [s/yr]*/
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| 270 | smb = smb + anomaly*yts;
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| 271 |
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[17087] | 272 | /*Update array accordingly*/
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| 273 | smblist[v] = smb;
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| 274 |
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| 275 | }
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| 276 |
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| 277 | /*Add input to element and Free memory*/
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| 278 | element->AddInput(SurfaceforcingsMassBalanceEnum,smblist,P1Enum);
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| 279 | xDelete<IssmDouble>(surfacelist);
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| 280 | xDelete<IssmDouble>(smblistref);
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| 281 | xDelete<IssmDouble>(smblist);
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[17085] | 282 | }
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| 283 |
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| 284 | }/*}}}*/
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[18001] | 285 | void SmbComponentsx(FemModel* femmodel){/*{{{*/
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| 286 |
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| 287 | // void SmbComponentsx(acc,evap,runoff,ni){
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| 288 | // INPUT parameters: ni: working size of arrays
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| 289 | // INPUT: surface accumulation (m/yr water equivalent): acc
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| 290 | // surface evaporation (m/yr water equivalent): evap
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| 291 | // surface runoff (m/yr water equivalent): runoff
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| 292 | // OUTPUT: mass-balance (m/yr ice): agd(NA)
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| 293 | int v;
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| 294 |
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| 295 | /*Loop over all the elements of this partition*/
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| 296 | for(int i=0;i<femmodel->elements->Size();i++){
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| 297 | Element* element=dynamic_cast<Element*>(femmodel->elements->GetObjectByOffset(i));
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| 298 |
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| 299 | /*Allocate all arrays*/
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| 300 | int numvertices = element->GetNumberOfVertices();
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| 301 | IssmDouble* acc = xNew<IssmDouble>(numvertices);
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| 302 | IssmDouble* evap = xNew<IssmDouble>(numvertices);
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| 303 | IssmDouble* runoff = xNew<IssmDouble>(numvertices);
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| 304 | IssmDouble* smb = xNew<IssmDouble>(numvertices);
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| 305 |
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| 306 | /*Recover Smb Components*/
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| 307 | element->GetInputListOnVertices(acc,SurfaceforcingsAccumulationEnum);
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| 308 | element->GetInputListOnVertices(evap,SurfaceforcingsEvaporationEnum);
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| 309 | element->GetInputListOnVertices(runoff,SurfaceforcingsRunoffEnum);
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| 310 |
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| 311 | // loop over all vertices
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| 312 | for(v=0;v<numvertices;v++){
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| 313 | smb[v]=acc[v]-evap[v]-runoff[v];
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| 314 | } //end of the loop over the vertices
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| 315 |
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| 316 | /*Add input to element and Free memory*/
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| 317 | element->AddInput(SurfaceforcingsMassBalanceEnum,smb,P1Enum);
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| 318 | xDelete<IssmDouble>(acc);
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| 319 | xDelete<IssmDouble>(evap);
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| 320 | xDelete<IssmDouble>(runoff);
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| 321 | xDelete<IssmDouble>(smb);
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| 322 | }
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| 323 |
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| 324 | }/*}}}*/
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| 325 | void SmbMeltComponentsx(FemModel* femmodel){/*{{{*/
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| 326 |
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| 327 | // void SmbMeltComponentsx(acc,evap,melt,refreeze,ni){
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| 328 | // INPUT parameters: ni: working size of arrays
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| 329 | // INPUT: surface accumulation (m/yr water equivalent): acc
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| 330 | // surface evaporation (m/yr water equivalent): evap
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| 331 | // surface melt (m/yr water equivalent): melt
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| 332 | // refreeze of surface melt (m/yr water equivalent): refreeze
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| 333 | // OUTPUT: mass-balance (m/yr ice): agd(NA)
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| 334 | int v;
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| 335 |
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| 336 | /*Loop over all the elements of this partition*/
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| 337 | for(int i=0;i<femmodel->elements->Size();i++){
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| 338 | Element* element=dynamic_cast<Element*>(femmodel->elements->GetObjectByOffset(i));
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| 339 |
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| 340 | /*Allocate all arrays*/
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| 341 | int numvertices = element->GetNumberOfVertices();
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| 342 | IssmDouble* acc = xNew<IssmDouble>(numvertices);
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| 343 | IssmDouble* evap = xNew<IssmDouble>(numvertices);
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| 344 | IssmDouble* melt = xNew<IssmDouble>(numvertices);
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| 345 | IssmDouble* refreeze = xNew<IssmDouble>(numvertices);
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| 346 | IssmDouble* smb = xNew<IssmDouble>(numvertices);
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| 347 |
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| 348 | /*Recover Smb Components*/
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| 349 | element->GetInputListOnVertices(acc,SurfaceforcingsAccumulationEnum);
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| 350 | element->GetInputListOnVertices(evap,SurfaceforcingsEvaporationEnum);
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| 351 | element->GetInputListOnVertices(melt,SurfaceforcingsMeltEnum);
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| 352 | element->GetInputListOnVertices(refreeze,SurfaceforcingsRefreezeEnum);
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| 353 |
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| 354 | // loop over all vertices
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| 355 | for(v=0;v<numvertices;v++){
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| 356 | smb[v]=acc[v]-evap[v]-melt[v]+refreeze[v];
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| 357 | } //end of the loop over the vertices
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| 358 |
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| 359 | /*Add input to element and Free memory*/
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| 360 | element->AddInput(SurfaceforcingsMassBalanceEnum,smb,P1Enum);
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| 361 | xDelete<IssmDouble>(acc);
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| 362 | xDelete<IssmDouble>(evap);
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| 363 | xDelete<IssmDouble>(melt);
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| 364 | xDelete<IssmDouble>(refreeze);
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| 365 | xDelete<IssmDouble>(smb);
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| 366 | }
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| 367 |
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| 368 | }/*}}}*/
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