[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 |
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| 10 | void SmbGradientsx(FemModel* femmodel){/*{{{*/
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| 11 |
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| 12 | // void SurfaceMassBalancex(hd,agd,ni){
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| 13 | // INPUT parameters: ni: working size of arrays
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| 14 | // INPUT: surface elevation (m): hd(NA)
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| 15 | // OUTPUT: mass-balance (m/yr ice): agd(NA)
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[18001] | 16 | int v;
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| 17 | IssmDouble rho_water; // density of fresh water
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| 18 | IssmDouble rho_ice; // density of ice
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[21469] | 19 | IssmDouble yts; // conversion factor year to second
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[17085] | 20 |
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[18001] | 21 | /*Loop over all the elements of this partition*/
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[17085] | 22 | for(int i=0;i<femmodel->elements->Size();i++){
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[18521] | 23 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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[18001] | 24 |
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| 25 | /*Allocate all arrays*/
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| 26 | int numvertices = element->GetNumberOfVertices();
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| 27 | IssmDouble* Href = xNew<IssmDouble>(numvertices); // reference elevation from which deviations are used to calculate the SMB adjustment
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| 28 | IssmDouble* Smbref = xNew<IssmDouble>(numvertices); // reference SMB to which deviations are added
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| 29 | IssmDouble* b_pos = xNew<IssmDouble>(numvertices); // Hs-SMB relation parameter
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| 30 | IssmDouble* b_neg = xNew<IssmDouble>(numvertices); // Hs-SMB relation paremeter
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| 31 | IssmDouble* s = xNew<IssmDouble>(numvertices); // surface elevation (m)
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| 32 | IssmDouble* smb = xNew<IssmDouble>(numvertices);
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| 33 |
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| 34 | /*Recover SmbGradients*/
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[19527] | 35 | element->GetInputListOnVertices(Href,SmbHrefEnum);
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| 36 | element->GetInputListOnVertices(Smbref,SmbSmbrefEnum);
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| 37 | element->GetInputListOnVertices(b_pos,SmbBPosEnum);
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| 38 | element->GetInputListOnVertices(b_neg,SmbBNegEnum);
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[18001] | 39 |
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[18266] | 40 | /*Recover surface elevation at vertices: */
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[18001] | 41 | element->GetInputListOnVertices(s,SurfaceEnum);
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| 42 |
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| 43 | /*Get material parameters :*/
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[18946] | 44 | rho_ice=element->matpar->GetMaterialParameter(MaterialsRhoIceEnum);
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[18949] | 45 | rho_water=element->matpar->GetMaterialParameter(MaterialsRhoFreshwaterEnum);
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[18001] | 46 |
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[21469] | 47 | /* Get constants */
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| 48 | femmodel->parameters->FindParam(&yts,ConstantsYtsEnum);
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| 49 |
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[18001] | 50 | // loop over all vertices
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| 51 | for(v=0;v<numvertices;v++){
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| 52 | if(Smbref[v]>0){
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| 53 | smb[v]=Smbref[v]+b_pos[v]*(s[v]-Href[v]);
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| 54 | }
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| 55 | else{
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| 56 | smb[v]=Smbref[v]+b_neg[v]*(s[v]-Href[v]);
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| 57 | }
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[21469] | 58 |
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[18266] | 59 | smb[v]=smb[v]/1000*rho_water/rho_ice; // SMB in m/y ice
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[18001] | 60 | } //end of the loop over the vertices
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| 61 |
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| 62 | /*Add input to element and Free memory*/
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[19527] | 63 | element->AddInput(SmbMassBalanceEnum,smb,P1Enum);
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[18001] | 64 | xDelete<IssmDouble>(Href);
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| 65 | xDelete<IssmDouble>(Smbref);
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| 66 | xDelete<IssmDouble>(b_pos);
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| 67 | xDelete<IssmDouble>(b_neg);
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| 68 | xDelete<IssmDouble>(s);
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| 69 | xDelete<IssmDouble>(smb);
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[17085] | 70 | }
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| 71 |
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| 72 | }/*}}}*/
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[21469] | 73 | void SmbGradientsElax(FemModel* femmodel){/*{{{*/
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| 74 |
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| 75 | // void SurfaceMassBalancex(hd,agd,ni){
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| 76 | // INPUT parameters: ni: working size of arrays
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| 77 | // INPUT: surface elevation (m): hd(NA)
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| 78 | // OUTPUT: surface mass-balance (m/yr ice): agd(NA)
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| 79 | int v;
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| 80 |
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| 81 | /*Loop over all the elements of this partition*/
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| 82 | for(int i=0;i<femmodel->elements->Size();i++){
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| 83 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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| 84 |
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| 85 | /*Allocate all arrays*/
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| 86 | int numvertices = element->GetNumberOfVertices();
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| 87 | IssmDouble* ela = xNew<IssmDouble>(numvertices); // Equilibrium Line Altitude (m a.s.l) to which deviations are used to calculate the SMB
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| 88 | IssmDouble* b_pos = xNew<IssmDouble>(numvertices); // SMB gradient above ELA (m ice eq. per m elevation change)
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| 89 | IssmDouble* b_neg = xNew<IssmDouble>(numvertices); // SMB gradient below ELA (m ice eq. per m elevation change)
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| 90 | IssmDouble* b_max = xNew<IssmDouble>(numvertices); // Upper cap on SMB rate (m/y ice eq.)
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| 91 | IssmDouble* b_min = xNew<IssmDouble>(numvertices); // Lower cap on SMB rate (m/y ice eq.)
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| 92 | IssmDouble* s = xNew<IssmDouble>(numvertices); // Surface elevation (m a.s.l.)
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| 93 | IssmDouble* smb = xNew<IssmDouble>(numvertices); // SMB (m/y ice eq.)
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| 94 |
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| 95 | /*Recover ELA, SMB gradients, and caps*/
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| 96 | element->GetInputListOnVertices(ela,SmbElaEnum);
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| 97 | element->GetInputListOnVertices(b_pos,SmbBPosEnum);
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| 98 | element->GetInputListOnVertices(b_neg,SmbBNegEnum);
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| 99 | element->GetInputListOnVertices(b_max,SmbBMaxEnum);
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| 100 | element->GetInputListOnVertices(b_min,SmbBMinEnum);
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| 101 |
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| 102 | /*Recover surface elevation at vertices: */
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| 103 | element->GetInputListOnVertices(s,SurfaceEnum);
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| 104 |
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| 105 | /*Loop over all vertices, calculate SMB*/
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| 106 | for(v=0;v<numvertices;v++){
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| 107 | // if surface is above the ELA
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| 108 | if(s[v]>ela[v]){
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| 109 | smb[v]=b_pos[v]*(s[v]-ela[v]);
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| 110 | }
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| 111 | // if surface is below or equal to the ELA
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| 112 | else{
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| 113 | smb[v]=b_neg[v]*(s[v]-ela[v]);
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| 114 | }
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| 115 |
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| 116 | // if SMB is larger than upper cap, set SMB to upper cap
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| 117 | if(smb[v]>b_max[v]){
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| 118 | smb[v]=b_max[v];
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| 119 | }
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| 120 | // if SMB is smaller than lower cap, set SMB to lower cap
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| 121 | if(smb[v]<b_min[v]){
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| 122 | smb[v]=b_min[v];
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| 123 | }
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| 124 | } //end of the loop over the vertices
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| 125 |
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| 126 | /*Add input to element and Free memory*/
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| 127 | element->AddInput(SmbMassBalanceEnum,smb,P1Enum);
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| 128 | xDelete<IssmDouble>(ela);
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| 129 | xDelete<IssmDouble>(b_pos);
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| 130 | xDelete<IssmDouble>(b_neg);
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| 131 | xDelete<IssmDouble>(b_max);
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| 132 | xDelete<IssmDouble>(b_min);
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| 133 | xDelete<IssmDouble>(s);
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| 134 | xDelete<IssmDouble>(smb);
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| 135 |
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| 136 | }
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| 137 |
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| 138 | }/*}}}*/
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[17085] | 139 | void Delta18oParameterizationx(FemModel* femmodel){/*{{{*/
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| 140 |
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| 141 | for(int i=0;i<femmodel->elements->Size();i++){
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[18521] | 142 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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[17085] | 143 | element->Delta18oParameterization();
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| 144 | }
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| 145 |
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| 146 | }/*}}}*/
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[18968] | 147 | void MungsmtpParameterizationx(FemModel* femmodel){/*{{{*/
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| 148 |
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| 149 | for(int i=0;i<femmodel->elements->Size();i++){
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| 150 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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| 151 | element->MungsmtpParameterization();
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| 152 | }
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| 153 |
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| 154 | }/*}}}*/
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[19172] | 155 | void Delta18opdParameterizationx(FemModel* femmodel){/*{{{*/
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| 156 |
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| 157 | for(int i=0;i<femmodel->elements->Size();i++){
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| 158 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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| 159 | element->Delta18opdParameterization();
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| 160 | }
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| 161 |
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| 162 | }/*}}}*/
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[17085] | 163 | void PositiveDegreeDayx(FemModel* femmodel){/*{{{*/
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| 164 |
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| 165 | // void PositiveDegreeDayx(hd,vTempsea,vPrec,agd,Tsurf,ni){
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| 166 | // note "v" prefix means 12 monthly means, ie time dimension
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| 167 | // INPUT parameters: ni: working size of arrays
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| 168 | // INPUT: surface elevation (m): hd(NA)
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| 169 | // monthly mean surface sealevel temperature (degrees C): vTempsea(NA
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| 170 | // ,NTIME)
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| 171 | // monthly mean precip rate (m/yr water equivalent): vPrec(NA,NTIME)
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| 172 | // OUTPUT: mass-balance (m/yr ice): agd(NA)
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| 173 | // mean annual surface temperature (degrees C): Tsurf(NA)
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| 174 |
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| 175 | int i, it, jj, itm;
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| 176 | IssmDouble DT = 0.02, sigfac, snormfac;
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| 177 | IssmDouble signorm = 5.5; // signorm : sigma of the temperature distribution for a normal day
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| 178 | IssmDouble siglim; // sigma limit for the integration which is equal to 2.5 sigmanorm
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| 179 | IssmDouble signormc = signorm - 0.5; // sigma of the temperature distribution for cloudy day
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| 180 | IssmDouble siglimc, siglim0, siglim0c;
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| 181 | IssmDouble tstep, tsint, tint, tstepc;
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| 182 | int NPDMAX = 1504, NPDCMAX = 1454;
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| 183 | //IssmDouble pdds[NPDMAX]={0};
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| 184 | //IssmDouble pds[NPDCMAX]={0};
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| 185 | IssmDouble pddt, pd ; // pd : snow/precip fraction, precipitation falling as snow
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| 186 | IssmDouble PDup, PDCUT = 2.0; // PDcut: rain/snow cutoff temperature (C)
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| 187 | IssmDouble tstar; // monthly mean surface temp
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| 188 |
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[18968] | 189 | bool ismungsm;
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| 190 |
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[17085] | 191 | IssmDouble *pdds = NULL;
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| 192 | IssmDouble *pds = NULL;
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| 193 | Element *element = NULL;
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| 194 |
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| 195 | pdds=xNew<IssmDouble>(NPDMAX+1);
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| 196 | pds=xNew<IssmDouble>(NPDCMAX+1);
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| 197 |
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[18968] | 198 | // Get ismungsm parameter
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[19527] | 199 | femmodel->parameters->FindParam(&ismungsm,SmbIsmungsmEnum);
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[18968] | 200 |
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[17085] | 201 | /* initialize PDD (creation of a lookup table)*/
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| 202 | tstep = 0.1;
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| 203 | tsint = tstep*0.5;
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| 204 | sigfac = -1.0/(2.0*pow(signorm,2));
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| 205 | snormfac = 1.0/(signorm*sqrt(2.0*acos(-1.0)));
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| 206 | siglim = 2.5*signorm;
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| 207 | siglimc = 2.5*signormc;
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| 208 | siglim0 = siglim/DT + 0.5;
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| 209 | siglim0c = siglimc/DT + 0.5;
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| 210 | PDup = siglimc+PDCUT;
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| 211 |
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| 212 | itm = reCast<int,IssmDouble>((2*siglim/DT + 1.5));
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| 213 |
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| 214 | if(itm >= NPDMAX) _error_("increase NPDMAX in massBalance.cpp");
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| 215 | for(it = 0; it < itm; it++){
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| 216 | // tstar = REAL(it)*DT-siglim;
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| 217 | tstar = it*DT-siglim;
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| 218 | tint = tsint;
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| 219 | pddt = 0.;
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| 220 | for ( jj = 0; jj < 600; jj++){
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| 221 | if (tint > (tstar+siglim)){break;}
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| 222 | pddt = pddt + tint*exp(sigfac*(pow((tint-tstar),2)))*tstep;
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| 223 | tint = tint+tstep;
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| 224 | }
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| 225 | pdds[it] = pddt*snormfac;
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| 226 | }
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| 227 | pdds[itm+1] = siglim + DT;
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| 228 |
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| 229 | //*********compute PD(T) : snow/precip fraction. precipitation falling as snow
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| 230 | tstepc = 0.1;
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| 231 | tsint = PDCUT-tstepc*0.5;
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| 232 | signormc = signorm - 0.5;
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| 233 | sigfac = -1.0/(2.0*pow(signormc,2));
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| 234 | snormfac = 1.0/(signormc*sqrt(2.0*acos(-1.0)));
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| 235 | siglimc = 2.5*signormc ;
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| 236 | itm = reCast<int,IssmDouble>((PDCUT+2.*siglimc)/DT + 1.5);
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| 237 | if(itm >= NPDCMAX) _error_("increase NPDCMAX in p35com");
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| 238 | for(it = 0; it < itm; it++ ){
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| 239 | tstar = it*DT-siglimc;
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| 240 | // tstar = REAL(it)*DT-siglimc;
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| 241 | tint = tsint; // start against upper bound
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| 242 | pd = 0.;
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| 243 | for (jj = 0; jj < 600; jj++){
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| 244 | if (tint<(tstar-siglimc)) {break;}
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| 245 | pd = pd + exp(sigfac*(pow((tint-tstar),2)))*tstepc;
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| 246 | tint = tint-tstepc;
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| 247 | }
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| 248 | pds[it] = pd*snormfac; // gaussian integral lookup table for snow fraction
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| 249 | }
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| 250 | pds[itm+1] = 0.;
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| 251 | // *******END initialize PDD
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| 252 |
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| 253 | for(i=0;i<femmodel->elements->Size();i++){
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[18521] | 254 | element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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[18968] | 255 | element->PositiveDegreeDay(pdds,pds,signorm,ismungsm);
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[17085] | 256 | }
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| 257 | /*free ressouces: */
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| 258 | xDelete<IssmDouble>(pdds);
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| 259 | xDelete<IssmDouble>(pds);
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| 260 | }/*}}}*/
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| 261 | void SmbHenningx(FemModel* femmodel){/*{{{*/
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| 262 |
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[17087] | 263 | /*Intermediaries*/
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[17403] | 264 | IssmDouble z_critical = 1675.;
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| 265 | IssmDouble dz = 0;
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| 266 | IssmDouble a = -15.86;
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| 267 | IssmDouble b = 0.00969;
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| 268 | IssmDouble c = -0.235;
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| 269 | IssmDouble f = 1.;
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| 270 | IssmDouble g = -0.0011;
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| 271 | IssmDouble h = -1.54e-5;
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| 272 | IssmDouble smb,smbref,anomaly,yts,z;
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[22249] | 273 |
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| 274 | /* Get constants */
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| 275 | femmodel->parameters->FindParam(&yts,ConstantsYtsEnum);
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| 276 | /*iomodel->FindConstant(&yts,"md.constants.yts");*/
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| 277 | /*this->parameters->FindParam(&yts,ConstantsYtsEnum);*/
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| 278 | /*Mathieu original*/
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| 279 | /*IssmDouble smb,smbref,z;*/
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| 280 |
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[17087] | 281 | /*Loop over all the elements of this partition*/
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[17085] | 282 | for(int i=0;i<femmodel->elements->Size();i++){
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[18521] | 283 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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[17087] | 284 |
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| 285 | /*Get reference SMB (uncorrected) and allocate all arrays*/
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| 286 | int numvertices = element->GetNumberOfVertices();
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| 287 | IssmDouble* surfacelist = xNew<IssmDouble>(numvertices);
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| 288 | IssmDouble* smblistref = xNew<IssmDouble>(numvertices);
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| 289 | IssmDouble* smblist = xNew<IssmDouble>(numvertices);
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| 290 | element->GetInputListOnVertices(surfacelist,SurfaceEnum);
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[19527] | 291 | element->GetInputListOnVertices(smblistref,SmbSmbrefEnum);
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[17087] | 292 |
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| 293 | /*Loop over all vertices of element and correct SMB as a function of altitude z*/
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| 294 | for(int v=0;v<numvertices;v++){
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| 295 |
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[17403] | 296 | /*Get vertex elevation, anoma smb*/
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[17087] | 297 | z = surfacelist[v];
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[17403] | 298 | anomaly = smblistref[v];
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[17087] | 299 |
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[22249] | 300 | /* Henning edited acc. to Riannes equations*/
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| 301 | /* Set SMB maximum elevation, if dz = 0 -> z_critical = 1675 */
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| 302 | z_critical = z_critical + dz;
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| 303 |
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| 304 | /* Calculate smb acc. to the surface elevation z */
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| 305 | if(z<z_critical){
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[17403] | 306 | smb = a + b*z + c;
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[17087] | 307 | }
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| 308 | else{
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[22249] | 309 | smb = (a + b*z)*(f + g*(z-z_critical) + h*(z-z_critical)*(z-z_critical)) + c;
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[17087] | 310 | }
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[22249] | 311 |
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[18584] | 312 | /* Compute smb including anomaly,
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| 313 | correct for number of seconds in a year [s/yr]*/
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| 314 | smb = smb/yts + anomaly;
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| 315 |
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| 316 |
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[17087] | 317 | /*Update array accordingly*/
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| 318 | smblist[v] = smb;
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| 319 |
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| 320 | }
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| 321 |
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| 322 | /*Add input to element and Free memory*/
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[19527] | 323 | element->AddInput(SmbMassBalanceEnum,smblist,P1Enum);
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[17087] | 324 | xDelete<IssmDouble>(surfacelist);
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| 325 | xDelete<IssmDouble>(smblistref);
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| 326 | xDelete<IssmDouble>(smblist);
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[17085] | 327 | }
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| 328 |
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| 329 | }/*}}}*/
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[18001] | 330 | void SmbComponentsx(FemModel* femmodel){/*{{{*/
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| 331 |
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| 332 | // void SmbComponentsx(acc,evap,runoff,ni){
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| 333 | // INPUT parameters: ni: working size of arrays
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| 334 | // INPUT: surface accumulation (m/yr water equivalent): acc
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| 335 | // surface evaporation (m/yr water equivalent): evap
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| 336 | // surface runoff (m/yr water equivalent): runoff
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| 337 | // OUTPUT: mass-balance (m/yr ice): agd(NA)
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| 338 | int v;
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| 339 |
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| 340 | /*Loop over all the elements of this partition*/
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| 341 | for(int i=0;i<femmodel->elements->Size();i++){
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[18521] | 342 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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[18001] | 343 |
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| 344 | /*Allocate all arrays*/
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| 345 | int numvertices = element->GetNumberOfVertices();
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| 346 | IssmDouble* acc = xNew<IssmDouble>(numvertices);
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| 347 | IssmDouble* evap = xNew<IssmDouble>(numvertices);
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| 348 | IssmDouble* runoff = xNew<IssmDouble>(numvertices);
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| 349 | IssmDouble* smb = xNew<IssmDouble>(numvertices);
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| 350 |
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| 351 | /*Recover Smb Components*/
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[19527] | 352 | element->GetInputListOnVertices(acc,SmbAccumulationEnum);
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| 353 | element->GetInputListOnVertices(evap,SmbEvaporationEnum);
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| 354 | element->GetInputListOnVertices(runoff,SmbRunoffEnum);
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[18001] | 355 |
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| 356 | // loop over all vertices
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| 357 | for(v=0;v<numvertices;v++){
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| 358 | smb[v]=acc[v]-evap[v]-runoff[v];
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| 359 | } //end of the loop over the vertices
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| 360 |
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| 361 | /*Add input to element and Free memory*/
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[19527] | 362 | element->AddInput(SmbMassBalanceEnum,smb,P1Enum);
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[18001] | 363 | xDelete<IssmDouble>(acc);
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| 364 | xDelete<IssmDouble>(evap);
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| 365 | xDelete<IssmDouble>(runoff);
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| 366 | xDelete<IssmDouble>(smb);
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| 367 | }
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| 368 |
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| 369 | }/*}}}*/
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| 370 | void SmbMeltComponentsx(FemModel* femmodel){/*{{{*/
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| 371 |
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| 372 | // void SmbMeltComponentsx(acc,evap,melt,refreeze,ni){
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| 373 | // INPUT parameters: ni: working size of arrays
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| 374 | // INPUT: surface accumulation (m/yr water equivalent): acc
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| 375 | // surface evaporation (m/yr water equivalent): evap
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| 376 | // surface melt (m/yr water equivalent): melt
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| 377 | // refreeze of surface melt (m/yr water equivalent): refreeze
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| 378 | // OUTPUT: mass-balance (m/yr ice): agd(NA)
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| 379 | int v;
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| 380 |
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| 381 | /*Loop over all the elements of this partition*/
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| 382 | for(int i=0;i<femmodel->elements->Size();i++){
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[18521] | 383 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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[18001] | 384 |
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| 385 | /*Allocate all arrays*/
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| 386 | int numvertices = element->GetNumberOfVertices();
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| 387 | IssmDouble* acc = xNew<IssmDouble>(numvertices);
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| 388 | IssmDouble* evap = xNew<IssmDouble>(numvertices);
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| 389 | IssmDouble* melt = xNew<IssmDouble>(numvertices);
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| 390 | IssmDouble* refreeze = xNew<IssmDouble>(numvertices);
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| 391 | IssmDouble* smb = xNew<IssmDouble>(numvertices);
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| 392 |
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| 393 | /*Recover Smb Components*/
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[19527] | 394 | element->GetInputListOnVertices(acc,SmbAccumulationEnum);
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| 395 | element->GetInputListOnVertices(evap,SmbEvaporationEnum);
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| 396 | element->GetInputListOnVertices(melt,SmbMeltEnum);
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| 397 | element->GetInputListOnVertices(refreeze,SmbRefreezeEnum);
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[18001] | 398 |
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| 399 | // loop over all vertices
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| 400 | for(v=0;v<numvertices;v++){
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| 401 | smb[v]=acc[v]-evap[v]-melt[v]+refreeze[v];
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| 402 | } //end of the loop over the vertices
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| 403 |
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| 404 | /*Add input to element and Free memory*/
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[19527] | 405 | element->AddInput(SmbMassBalanceEnum,smb,P1Enum);
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[18001] | 406 | xDelete<IssmDouble>(acc);
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| 407 | xDelete<IssmDouble>(evap);
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| 408 | xDelete<IssmDouble>(melt);
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| 409 | xDelete<IssmDouble>(refreeze);
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| 410 | xDelete<IssmDouble>(smb);
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| 411 | }
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| 412 |
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| 413 | }/*}}}*/
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