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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39 | break;
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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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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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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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63 |
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64 | /*Loop over all the elements of this partition*/
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65 | for(int i=0;i<femmodel->elements->Size();i++){
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66 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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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* s = xNew<IssmDouble>(numvertices); // surface elevation (m)
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75 | IssmDouble* smb = xNew<IssmDouble>(numvertices);
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76 |
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77 | /*Recover SmbGradients*/
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78 | element->GetInputListOnVertices(Href,SurfaceforcingsHrefEnum);
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79 | element->GetInputListOnVertices(Smbref,SurfaceforcingsSmbrefEnum);
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80 | element->GetInputListOnVertices(b_pos,SurfaceforcingsBPosEnum);
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81 | element->GetInputListOnVertices(b_neg,SurfaceforcingsBNegEnum);
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82 |
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83 | /*Recover surface elevation at vertices: */
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84 | element->GetInputListOnVertices(s,SurfaceEnum);
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85 |
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86 | /*Get material parameters :*/
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87 | rho_ice=element->matpar->GetRhoIce();
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88 | rho_water=element->matpar->GetRhoFreshwater();
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89 |
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90 | // loop over all vertices
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91 | for(v=0;v<numvertices;v++){
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92 | if(Smbref[v]>0){
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93 | smb[v]=Smbref[v]+b_pos[v]*(s[v]-Href[v]);
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94 | }
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95 | else{
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96 | smb[v]=Smbref[v]+b_neg[v]*(s[v]-Href[v]);
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97 | }
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98 | smb[v]=smb[v]/1000*rho_water/rho_ice; // SMB in m/y ice
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99 | } //end of the loop over the vertices
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100 |
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101 | /*Add input to element and Free memory*/
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102 | element->AddInput(SurfaceforcingsMassBalanceEnum,smb,P1Enum);
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103 | xDelete<IssmDouble>(Href);
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104 | xDelete<IssmDouble>(Smbref);
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105 | xDelete<IssmDouble>(b_pos);
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106 | xDelete<IssmDouble>(b_neg);
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107 | xDelete<IssmDouble>(s);
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108 | xDelete<IssmDouble>(smb);
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109 | }
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110 |
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111 | }/*}}}*/
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112 | void Delta18oParameterizationx(FemModel* femmodel){/*{{{*/
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113 |
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114 | for(int i=0;i<femmodel->elements->Size();i++){
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115 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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116 | element->Delta18oParameterization();
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117 | }
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118 |
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119 | }/*}}}*/
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120 | void PositiveDegreeDayx(FemModel* femmodel){/*{{{*/
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121 |
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122 | // void PositiveDegreeDayx(hd,vTempsea,vPrec,agd,Tsurf,ni){
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123 | // note "v" prefix means 12 monthly means, ie time dimension
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124 | // INPUT parameters: ni: working size of arrays
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125 | // INPUT: surface elevation (m): hd(NA)
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126 | // monthly mean surface sealevel temperature (degrees C): vTempsea(NA
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127 | // ,NTIME)
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128 | // monthly mean precip rate (m/yr water equivalent): vPrec(NA,NTIME)
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129 | // OUTPUT: mass-balance (m/yr ice): agd(NA)
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130 | // mean annual surface temperature (degrees C): Tsurf(NA)
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131 |
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132 | int i, it, jj, itm;
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133 | IssmDouble DT = 0.02, sigfac, snormfac;
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134 | IssmDouble signorm = 5.5; // signorm : sigma of the temperature distribution for a normal day
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135 | IssmDouble siglim; // sigma limit for the integration which is equal to 2.5 sigmanorm
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136 | IssmDouble signormc = signorm - 0.5; // sigma of the temperature distribution for cloudy day
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137 | IssmDouble siglimc, siglim0, siglim0c;
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138 | IssmDouble tstep, tsint, tint, tstepc;
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139 | int NPDMAX = 1504, NPDCMAX = 1454;
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140 | //IssmDouble pdds[NPDMAX]={0};
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141 | //IssmDouble pds[NPDCMAX]={0};
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142 | IssmDouble pddt, pd ; // pd : snow/precip fraction, precipitation falling as snow
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143 | IssmDouble PDup, PDCUT = 2.0; // PDcut: rain/snow cutoff temperature (C)
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144 | IssmDouble tstar; // monthly mean surface temp
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145 |
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146 | IssmDouble *pdds = NULL;
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147 | IssmDouble *pds = NULL;
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148 | Element *element = NULL;
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149 |
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150 | pdds=xNew<IssmDouble>(NPDMAX+1);
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151 | pds=xNew<IssmDouble>(NPDCMAX+1);
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152 |
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153 | /* initialize PDD (creation of a lookup table)*/
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154 | tstep = 0.1;
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155 | tsint = tstep*0.5;
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156 | sigfac = -1.0/(2.0*pow(signorm,2));
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157 | snormfac = 1.0/(signorm*sqrt(2.0*acos(-1.0)));
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158 | siglim = 2.5*signorm;
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159 | siglimc = 2.5*signormc;
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160 | siglim0 = siglim/DT + 0.5;
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161 | siglim0c = siglimc/DT + 0.5;
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162 | PDup = siglimc+PDCUT;
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163 |
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164 | itm = reCast<int,IssmDouble>((2*siglim/DT + 1.5));
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165 |
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166 | if(itm >= NPDMAX) _error_("increase NPDMAX in massBalance.cpp");
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167 | for(it = 0; it < itm; it++){
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168 | // tstar = REAL(it)*DT-siglim;
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169 | tstar = it*DT-siglim;
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170 | tint = tsint;
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171 | pddt = 0.;
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172 | for ( jj = 0; jj < 600; jj++){
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173 | if (tint > (tstar+siglim)){break;}
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174 | pddt = pddt + tint*exp(sigfac*(pow((tint-tstar),2)))*tstep;
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175 | tint = tint+tstep;
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176 | }
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177 | pdds[it] = pddt*snormfac;
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178 | }
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179 | pdds[itm+1] = siglim + DT;
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180 |
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181 | //*********compute PD(T) : snow/precip fraction. precipitation falling as snow
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182 | tstepc = 0.1;
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183 | tsint = PDCUT-tstepc*0.5;
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184 | signormc = signorm - 0.5;
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185 | sigfac = -1.0/(2.0*pow(signormc,2));
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186 | snormfac = 1.0/(signormc*sqrt(2.0*acos(-1.0)));
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187 | siglimc = 2.5*signormc ;
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188 | itm = reCast<int,IssmDouble>((PDCUT+2.*siglimc)/DT + 1.5);
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189 | if(itm >= NPDCMAX) _error_("increase NPDCMAX in p35com");
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190 | for(it = 0; it < itm; it++ ){
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191 | tstar = it*DT-siglimc;
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192 | // tstar = REAL(it)*DT-siglimc;
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193 | tint = tsint; // start against upper bound
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194 | pd = 0.;
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195 | for (jj = 0; jj < 600; jj++){
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196 | if (tint<(tstar-siglimc)) {break;}
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197 | pd = pd + exp(sigfac*(pow((tint-tstar),2)))*tstepc;
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198 | tint = tint-tstepc;
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199 | }
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200 | pds[it] = pd*snormfac; // gaussian integral lookup table for snow fraction
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201 | }
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202 | pds[itm+1] = 0.;
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203 | // *******END initialize PDD
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204 |
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205 | for(i=0;i<femmodel->elements->Size();i++){
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206 | element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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207 | element->PositiveDegreeDay(pdds,pds,signorm);
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208 | }
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209 |
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210 | /*free ressouces: */
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211 | xDelete<IssmDouble>(pdds);
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212 | xDelete<IssmDouble>(pds);
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213 | }/*}}}*/
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214 | void SmbHenningx(FemModel* femmodel){/*{{{*/
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215 |
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216 | /*Intermediaries*/
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217 | IssmDouble z_critical = 1675.;
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218 | IssmDouble dz = 0;
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219 | IssmDouble a = -15.86;
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220 | IssmDouble b = 0.00969;
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221 | IssmDouble c = -0.235;
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222 | IssmDouble f = 1.;
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223 | IssmDouble g = -0.0011;
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224 | IssmDouble h = -1.54e-5;
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225 | IssmDouble smb,smbref,anomaly,yts,z;
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226 |
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227 | /* Get constants */
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228 | femmodel->parameters->FindParam(&yts,ConstantsYtsEnum);
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229 | /*iomodel->Constant(&yts,ConstantsYtsEnum);*/
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230 | /*this->parameters->FindParam(&yts,ConstantsYtsEnum);*/
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231 | /*Mathieu original*/
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232 | /*IssmDouble smb,smbref,z;*/
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233 |
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234 | /*Loop over all the elements of this partition*/
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235 | for(int i=0;i<femmodel->elements->Size();i++){
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236 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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237 |
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238 | /*Get reference SMB (uncorrected) and allocate all arrays*/
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239 | int numvertices = element->GetNumberOfVertices();
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240 | IssmDouble* surfacelist = xNew<IssmDouble>(numvertices);
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241 | IssmDouble* smblistref = xNew<IssmDouble>(numvertices);
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242 | IssmDouble* smblist = xNew<IssmDouble>(numvertices);
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243 | element->GetInputListOnVertices(surfacelist,SurfaceEnum);
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244 | element->GetInputListOnVertices(smblistref,SurfaceforcingsSmbrefEnum);
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245 |
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246 | /*Loop over all vertices of element and correct SMB as a function of altitude z*/
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247 | for(int v=0;v<numvertices;v++){
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248 |
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249 | /*Get vertex elevation, anoma smb*/
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250 | z = surfacelist[v];
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251 | anomaly = smblistref[v];
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252 |
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253 | /* Henning edited acc. to Riannes equations*/
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254 | /* Set SMB maximum elevation, if dz = 0 -> z_critical = 1675 */
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255 | z_critical = z_critical + dz;
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256 |
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257 | /* Calculate smb acc. to the surface elevation z */
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258 | if(z<z_critical){
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259 | smb = a + b*z + c;
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260 | }
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261 | else{
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262 | smb = (a + b*z)*(f + g*(z-z_critical) + h*(z-z_critical)*(z-z_critical)) + c;
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263 | }
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264 |
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265 | /* Compute smb including anomaly,
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266 | correct for number of seconds in a year [s/yr]*/
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267 | smb = smb + anomaly*yts;
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268 |
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269 | /*Update array accordingly*/
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270 | smblist[v] = smb;
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271 |
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272 | }
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273 |
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274 | /*Add input to element and Free memory*/
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275 | element->AddInput(SurfaceforcingsMassBalanceEnum,smblist,P1Enum);
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276 | xDelete<IssmDouble>(surfacelist);
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277 | xDelete<IssmDouble>(smblistref);
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278 | xDelete<IssmDouble>(smblist);
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279 | }
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280 |
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281 | }/*}}}*/
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282 | void SmbComponentsx(FemModel* femmodel){/*{{{*/
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283 |
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284 | // void SmbComponentsx(acc,evap,runoff,ni){
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285 | // INPUT parameters: ni: working size of arrays
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286 | // INPUT: surface accumulation (m/yr water equivalent): acc
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287 | // surface evaporation (m/yr water equivalent): evap
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288 | // surface runoff (m/yr water equivalent): runoff
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289 | // OUTPUT: mass-balance (m/yr ice): agd(NA)
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290 | int v;
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291 |
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292 | /*Loop over all the elements of this partition*/
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293 | for(int i=0;i<femmodel->elements->Size();i++){
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294 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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295 |
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296 | /*Allocate all arrays*/
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297 | int numvertices = element->GetNumberOfVertices();
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298 | IssmDouble* acc = xNew<IssmDouble>(numvertices);
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299 | IssmDouble* evap = xNew<IssmDouble>(numvertices);
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300 | IssmDouble* runoff = xNew<IssmDouble>(numvertices);
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301 | IssmDouble* smb = xNew<IssmDouble>(numvertices);
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302 |
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303 | /*Recover Smb Components*/
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304 | element->GetInputListOnVertices(acc,SurfaceforcingsAccumulationEnum);
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305 | element->GetInputListOnVertices(evap,SurfaceforcingsEvaporationEnum);
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306 | element->GetInputListOnVertices(runoff,SurfaceforcingsRunoffEnum);
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307 |
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308 | // loop over all vertices
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309 | for(v=0;v<numvertices;v++){
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310 | smb[v]=acc[v]-evap[v]-runoff[v];
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311 | } //end of the loop over the vertices
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312 |
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313 | /*Add input to element and Free memory*/
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314 | element->AddInput(SurfaceforcingsMassBalanceEnum,smb,P1Enum);
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315 | xDelete<IssmDouble>(acc);
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316 | xDelete<IssmDouble>(evap);
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317 | xDelete<IssmDouble>(runoff);
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318 | xDelete<IssmDouble>(smb);
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319 | }
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320 |
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321 | }/*}}}*/
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322 | void SmbMeltComponentsx(FemModel* femmodel){/*{{{*/
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323 |
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324 | // void SmbMeltComponentsx(acc,evap,melt,refreeze,ni){
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325 | // INPUT parameters: ni: working size of arrays
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326 | // INPUT: surface accumulation (m/yr water equivalent): acc
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327 | // surface evaporation (m/yr water equivalent): evap
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328 | // surface melt (m/yr water equivalent): melt
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329 | // refreeze of surface melt (m/yr water equivalent): refreeze
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330 | // OUTPUT: mass-balance (m/yr ice): agd(NA)
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331 | int v;
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332 |
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333 | /*Loop over all the elements of this partition*/
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334 | for(int i=0;i<femmodel->elements->Size();i++){
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335 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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336 |
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337 | /*Allocate all arrays*/
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338 | int numvertices = element->GetNumberOfVertices();
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339 | IssmDouble* acc = xNew<IssmDouble>(numvertices);
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340 | IssmDouble* evap = xNew<IssmDouble>(numvertices);
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341 | IssmDouble* melt = xNew<IssmDouble>(numvertices);
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342 | IssmDouble* refreeze = xNew<IssmDouble>(numvertices);
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343 | IssmDouble* smb = xNew<IssmDouble>(numvertices);
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344 |
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345 | /*Recover Smb Components*/
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346 | element->GetInputListOnVertices(acc,SurfaceforcingsAccumulationEnum);
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347 | element->GetInputListOnVertices(evap,SurfaceforcingsEvaporationEnum);
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348 | element->GetInputListOnVertices(melt,SurfaceforcingsMeltEnum);
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349 | element->GetInputListOnVertices(refreeze,SurfaceforcingsRefreezeEnum);
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350 |
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351 | // loop over all vertices
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352 | for(v=0;v<numvertices;v++){
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353 | smb[v]=acc[v]-evap[v]-melt[v]+refreeze[v];
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354 | } //end of the loop over the vertices
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355 |
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356 | /*Add input to element and Free memory*/
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357 | element->AddInput(SurfaceforcingsMassBalanceEnum,smb,P1Enum);
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358 | xDelete<IssmDouble>(acc);
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359 | xDelete<IssmDouble>(evap);
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360 | xDelete<IssmDouble>(melt);
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361 | xDelete<IssmDouble>(refreeze);
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362 | xDelete<IssmDouble>(smb);
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363 | }
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364 |
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365 | }/*}}}*/
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