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 SmbGradientsx(FemModel* femmodel){/*{{{*/
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10 |
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11 | // void SurfaceMassBalancex(hd,agd,ni){
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12 | // INPUT parameters: ni: working size of arrays
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13 | // INPUT: surface elevation (m): hd(NA)
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14 | // OUTPUT: mass-balance (m/yr ice): agd(NA)
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15 | int v;
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16 | IssmDouble rho_water; // density of fresh water
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17 | IssmDouble rho_ice; // density of ice
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18 | IssmDouble yts; // conversion factor year to second
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19 |
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20 | /*Loop over all the elements of this partition*/
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21 | for(int i=0;i<femmodel->elements->Size();i++){
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22 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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23 |
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24 | /*Allocate all arrays*/
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25 | int numvertices = element->GetNumberOfVertices();
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26 | IssmDouble* Href = xNew<IssmDouble>(numvertices); // reference elevation from which deviations are used to calculate the SMB adjustment
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27 | IssmDouble* Smbref = xNew<IssmDouble>(numvertices); // reference SMB to which deviations are added
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28 | IssmDouble* b_pos = xNew<IssmDouble>(numvertices); // Hs-SMB relation parameter
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29 | IssmDouble* b_neg = xNew<IssmDouble>(numvertices); // Hs-SMB relation paremeter
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30 | IssmDouble* s = xNew<IssmDouble>(numvertices); // surface elevation (m)
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31 | IssmDouble* smb = xNew<IssmDouble>(numvertices);
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32 |
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33 | /*Recover SmbGradients*/
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34 | element->GetInputListOnVertices(Href,SmbHrefEnum);
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35 | element->GetInputListOnVertices(Smbref,SmbSmbrefEnum);
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36 | element->GetInputListOnVertices(b_pos,SmbBPosEnum);
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37 | element->GetInputListOnVertices(b_neg,SmbBNegEnum);
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38 |
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39 | /*Recover surface elevation at vertices: */
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40 | element->GetInputListOnVertices(s,SurfaceEnum);
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41 |
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42 | /*Get material parameters :*/
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43 | rho_ice=element->FindParam(MaterialsRhoIceEnum);
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44 | rho_water=element->FindParam(MaterialsRhoFreshwaterEnum);
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45 |
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46 | /* Get constants */
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47 | femmodel->parameters->FindParam(&yts,ConstantsYtsEnum);
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48 |
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49 | // loop over all vertices
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50 | for(v=0;v<numvertices;v++){
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51 | if(Smbref[v]>0){
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52 | smb[v]=Smbref[v]+b_pos[v]*(s[v]-Href[v]);
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53 | }
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54 | else{
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55 | smb[v]=Smbref[v]+b_neg[v]*(s[v]-Href[v]);
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56 | }
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57 |
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58 | smb[v]=smb[v]/1000*rho_water/rho_ice; // SMB in m/y ice
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59 | } //end of the loop over the vertices
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60 |
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61 | /*Add input to element and Free memory*/
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62 | element->AddInput(SmbMassBalanceEnum,smb,P1Enum);
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63 | xDelete<IssmDouble>(Href);
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64 | xDelete<IssmDouble>(Smbref);
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65 | xDelete<IssmDouble>(b_pos);
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66 | xDelete<IssmDouble>(b_neg);
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67 | xDelete<IssmDouble>(s);
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68 | xDelete<IssmDouble>(smb);
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69 | }
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70 |
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71 | }/*}}}*/
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72 | void SmbGradientsElax(FemModel* femmodel){/*{{{*/
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73 |
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74 | // void SurfaceMassBalancex(hd,agd,ni){
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75 | // INPUT parameters: ni: working size of arrays
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76 | // INPUT: surface elevation (m): hd(NA)
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77 | // OUTPUT: surface mass-balance (m/yr ice): agd(NA)
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78 | int v;
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79 |
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80 | /*Loop over all the elements of this partition*/
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81 | for(int i=0;i<femmodel->elements->Size();i++){
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82 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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83 |
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84 | /*Allocate all arrays*/
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85 | int numvertices = element->GetNumberOfVertices();
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86 | 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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87 | IssmDouble* b_pos = xNew<IssmDouble>(numvertices); // SMB gradient above ELA (m ice eq. per m elevation change)
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88 | IssmDouble* b_neg = xNew<IssmDouble>(numvertices); // SMB gradient below ELA (m ice eq. per m elevation change)
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89 | IssmDouble* b_max = xNew<IssmDouble>(numvertices); // Upper cap on SMB rate (m/y ice eq.)
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90 | IssmDouble* b_min = xNew<IssmDouble>(numvertices); // Lower cap on SMB rate (m/y ice eq.)
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91 | IssmDouble* s = xNew<IssmDouble>(numvertices); // Surface elevation (m a.s.l.)
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92 | IssmDouble* smb = xNew<IssmDouble>(numvertices); // SMB (m/y ice eq.)
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93 |
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94 | /*Recover ELA, SMB gradients, and caps*/
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95 | element->GetInputListOnVertices(ela,SmbElaEnum);
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96 | element->GetInputListOnVertices(b_pos,SmbBPosEnum);
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97 | element->GetInputListOnVertices(b_neg,SmbBNegEnum);
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98 | element->GetInputListOnVertices(b_max,SmbBMaxEnum);
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99 | element->GetInputListOnVertices(b_min,SmbBMinEnum);
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100 |
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101 | /*Recover surface elevation at vertices: */
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102 | element->GetInputListOnVertices(s,SurfaceEnum);
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103 |
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104 | /*Loop over all vertices, calculate SMB*/
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105 | for(v=0;v<numvertices;v++){
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106 | // if surface is above the ELA
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107 | if(s[v]>ela[v]){
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108 | smb[v]=b_pos[v]*(s[v]-ela[v]);
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109 | }
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110 | // if surface is below or equal to the ELA
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111 | else{
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112 | smb[v]=b_neg[v]*(s[v]-ela[v]);
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113 | }
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114 |
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115 | // if SMB is larger than upper cap, set SMB to upper cap
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116 | if(smb[v]>b_max[v]){
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117 | smb[v]=b_max[v];
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118 | }
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119 | // if SMB is smaller than lower cap, set SMB to lower cap
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120 | if(smb[v]<b_min[v]){
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121 | smb[v]=b_min[v];
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122 | }
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123 | } //end of the loop over the vertices
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124 |
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125 | /*Add input to element and Free memory*/
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126 | element->AddInput(SmbMassBalanceEnum,smb,P1Enum);
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127 | xDelete<IssmDouble>(ela);
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128 | xDelete<IssmDouble>(b_pos);
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129 | xDelete<IssmDouble>(b_neg);
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130 | xDelete<IssmDouble>(b_max);
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131 | xDelete<IssmDouble>(b_min);
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132 | xDelete<IssmDouble>(s);
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133 | xDelete<IssmDouble>(smb);
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134 |
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135 | }
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136 |
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137 | }/*}}}*/
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138 | void Delta18oParameterizationx(FemModel* femmodel){/*{{{*/
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139 |
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140 | for(int i=0;i<femmodel->elements->Size();i++){
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141 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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142 | element->Delta18oParameterization();
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143 | }
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144 |
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145 | }/*}}}*/
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146 | void MungsmtpParameterizationx(FemModel* femmodel){/*{{{*/
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147 |
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148 | for(int i=0;i<femmodel->elements->Size();i++){
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149 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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150 | element->MungsmtpParameterization();
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151 | }
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152 |
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153 | }/*}}}*/
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154 | void Delta18opdParameterizationx(FemModel* femmodel){/*{{{*/
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155 |
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156 | for(int i=0;i<femmodel->elements->Size();i++){
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157 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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158 | element->Delta18opdParameterization();
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159 | }
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160 |
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161 | }/*}}}*/
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162 | void PositiveDegreeDayx(FemModel* femmodel){/*{{{*/
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163 |
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164 | // void PositiveDegreeDayx(hd,vTempsea,vPrec,agd,Tsurf,ni){
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165 | // note "v" prefix means 12 monthly means, ie time dimension
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166 | // INPUT parameters: ni: working size of arrays
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167 | // INPUT: surface elevation (m): hd(NA)
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168 | // monthly mean surface sealevel temperature (degrees C): vTempsea(NA
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169 | // ,NTIME)
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170 | // monthly mean precip rate (m/yr water equivalent): vPrec(NA,NTIME)
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171 | // OUTPUT: mass-balance (m/yr ice): agd(NA)
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172 | // mean annual surface temperature (degrees C): Tsurf(NA)
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173 |
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174 | int i, it, jj, itm;
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175 | IssmDouble DT = 0.02, sigfac, snormfac;
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176 | IssmDouble signorm = 5.5; // signorm : sigma of the temperature distribution for a normal day
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177 | IssmDouble siglim; // sigma limit for the integration which is equal to 2.5 sigmanorm
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178 | IssmDouble signormc = signorm - 0.5; // sigma of the temperature distribution for cloudy day
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179 | IssmDouble siglimc, siglim0, siglim0c;
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180 | IssmDouble tstep, tsint, tint, tstepc;
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181 | int NPDMAX = 1504, NPDCMAX = 1454;
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182 | //IssmDouble pdds[NPDMAX]={0};
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183 | //IssmDouble pds[NPDCMAX]={0};
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184 | IssmDouble pddt, pd ; // pd : snow/precip fraction, precipitation falling as snow
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185 | IssmDouble PDup, PDCUT = 2.0; // PDcut: rain/snow cutoff temperature (C)
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186 | IssmDouble tstar; // monthly mean surface temp
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187 |
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188 | bool ismungsm;
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189 | bool issetpddfac;
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190 |
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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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198 | // Get ismungsm parameter
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199 | femmodel->parameters->FindParam(&ismungsm,SmbIsmungsmEnum);
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200 |
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201 | // Get issetpddfac parameter
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202 | femmodel->parameters->FindParam(&issetpddfac,SmbIssetpddfacEnum);
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203 |
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204 | /* initialize PDD (creation of a lookup table)*/
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205 | tstep = 0.1;
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206 | tsint = tstep*0.5;
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207 | sigfac = -1.0/(2.0*pow(signorm,2));
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208 | snormfac = 1.0/(signorm*sqrt(2.0*acos(-1.0)));
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209 | siglim = 2.5*signorm;
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210 | siglimc = 2.5*signormc;
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211 | siglim0 = siglim/DT + 0.5;
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212 | siglim0c = siglimc/DT + 0.5;
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213 | PDup = siglimc+PDCUT;
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214 |
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215 | itm = reCast<int,IssmDouble>((2*siglim/DT + 1.5));
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216 |
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217 | if(itm >= NPDMAX) _error_("increase NPDMAX in massBalance.cpp");
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218 | for(it = 0; it < itm; it++){
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219 | // tstar = REAL(it)*DT-siglim;
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220 | tstar = it*DT-siglim;
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221 | tint = tsint;
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222 | pddt = 0.;
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223 | for ( jj = 0; jj < 600; jj++){
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224 | if (tint > (tstar+siglim)){break;}
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225 | pddt = pddt + tint*exp(sigfac*(pow((tint-tstar),2)))*tstep;
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226 | tint = tint+tstep;
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227 | }
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228 | pdds[it] = pddt*snormfac;
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229 | }
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230 | pdds[itm+1] = siglim + DT;
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231 |
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232 | //*********compute PD(T) : snow/precip fraction. precipitation falling as snow
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233 | tstepc = 0.1;
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234 | tsint = PDCUT-tstepc*0.5;
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235 | signormc = signorm - 0.5;
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236 | sigfac = -1.0/(2.0*pow(signormc,2));
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237 | snormfac = 1.0/(signormc*sqrt(2.0*acos(-1.0)));
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238 | siglimc = 2.5*signormc ;
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239 | itm = reCast<int,IssmDouble>((PDCUT+2.*siglimc)/DT + 1.5);
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240 | if(itm >= NPDCMAX) _error_("increase NPDCMAX in p35com");
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241 | for(it = 0; it < itm; it++ ){
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242 | tstar = it*DT-siglimc;
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243 | // tstar = REAL(it)*DT-siglimc;
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244 | tint = tsint; // start against upper bound
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245 | pd = 0.;
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246 | for (jj = 0; jj < 600; jj++){
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247 | if (tint<(tstar-siglimc)) {break;}
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248 | pd = pd + exp(sigfac*(pow((tint-tstar),2)))*tstepc;
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249 | tint = tint-tstepc;
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250 | }
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251 | pds[it] = pd*snormfac; // gaussian integral lookup table for snow fraction
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252 | }
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253 | pds[itm+1] = 0.;
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254 | // *******END initialize PDD
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255 |
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256 | for(i=0;i<femmodel->elements->Size();i++){
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257 | element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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258 | element->PositiveDegreeDay(pdds,pds,signorm,ismungsm,issetpddfac);
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259 | }
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260 | /*free ressouces: */
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261 | xDelete<IssmDouble>(pdds);
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262 | xDelete<IssmDouble>(pds);
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263 | }/*}}}*/
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264 | void PositiveDegreeDaySicopolisx(FemModel* femmodel){/*{{{*/
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265 |
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266 | bool isfirnwarming;
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267 | femmodel->parameters->FindParam(&isfirnwarming,SmbIsfirnwarmingEnum);
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268 |
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269 | for(int i=0;i<femmodel->elements->Size();i++){
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270 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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271 | element->PositiveDegreeDaySicopolis(isfirnwarming);
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272 | }
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273 |
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274 | }/*}}}*/
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275 | void SmbHenningx(FemModel* femmodel){/*{{{*/
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276 |
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277 | /*Intermediaries*/
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278 | IssmDouble z_critical = 1675.;
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279 | IssmDouble dz = 0;
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280 | IssmDouble a = -15.86;
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281 | IssmDouble b = 0.00969;
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282 | IssmDouble c = -0.235;
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283 | IssmDouble f = 1.;
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284 | IssmDouble g = -0.0011;
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285 | IssmDouble h = -1.54e-5;
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286 | IssmDouble smb,smbref,anomaly,yts,z;
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287 |
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288 | /* Get constants */
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289 | femmodel->parameters->FindParam(&yts,ConstantsYtsEnum);
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290 | /*iomodel->FindConstant(&yts,"md.constants.yts");*/
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291 | /*this->parameters->FindParam(&yts,ConstantsYtsEnum);*/
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292 | /*Mathieu original*/
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293 | /*IssmDouble smb,smbref,z;*/
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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=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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298 |
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299 | /*Get reference SMB (uncorrected) and allocate all arrays*/
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300 | int numvertices = element->GetNumberOfVertices();
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301 | IssmDouble* surfacelist = xNew<IssmDouble>(numvertices);
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302 | IssmDouble* smblistref = xNew<IssmDouble>(numvertices);
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303 | IssmDouble* smblist = xNew<IssmDouble>(numvertices);
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304 | element->GetInputListOnVertices(surfacelist,SurfaceEnum);
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305 | element->GetInputListOnVertices(smblistref,SmbSmbrefEnum);
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306 |
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307 | /*Loop over all vertices of element and correct SMB as a function of altitude z*/
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308 | for(int v=0;v<numvertices;v++){
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309 |
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310 | /*Get vertex elevation, anoma smb*/
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311 | z = surfacelist[v];
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312 | anomaly = smblistref[v];
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313 |
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314 | /* Henning edited acc. to Riannes equations*/
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315 | /* Set SMB maximum elevation, if dz = 0 -> z_critical = 1675 */
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316 | z_critical = z_critical + dz;
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317 |
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318 | /* Calculate smb acc. to the surface elevation z */
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319 | if(z<z_critical){
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320 | smb = a + b*z + c;
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321 | }
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322 | else{
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323 | smb = (a + b*z)*(f + g*(z-z_critical) + h*(z-z_critical)*(z-z_critical)) + c;
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324 | }
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325 |
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326 | /* Compute smb including anomaly,
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327 | correct for number of seconds in a year [s/yr]*/
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328 | smb = smb/yts + anomaly;
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329 |
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330 | /*Update array accordingly*/
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331 | smblist[v] = smb;
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332 |
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333 | }
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334 |
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335 | /*Add input to element and Free memory*/
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336 | element->AddInput(SmbMassBalanceEnum,smblist,P1Enum);
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337 | xDelete<IssmDouble>(surfacelist);
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338 | xDelete<IssmDouble>(smblistref);
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339 | xDelete<IssmDouble>(smblist);
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340 | }
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341 |
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342 | }/*}}}*/
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343 | void SmbComponentsx(FemModel* femmodel){/*{{{*/
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344 |
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345 | // void SmbComponentsx(acc,evap,runoff,ni){
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346 | // INPUT parameters: ni: working size of arrays
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347 | // INPUT: surface accumulation (m/yr water equivalent): acc
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348 | // surface evaporation (m/yr water equivalent): evap
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349 | // surface runoff (m/yr water equivalent): runoff
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350 | // OUTPUT: mass-balance (m/yr ice): agd(NA)
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351 | int v;
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352 |
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353 | /*Loop over all the elements of this partition*/
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354 | for(int i=0;i<femmodel->elements->Size();i++){
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355 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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356 |
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357 | /*Allocate all arrays*/
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358 | int numvertices = element->GetNumberOfVertices();
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359 | IssmDouble* acc = xNew<IssmDouble>(numvertices);
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360 | IssmDouble* evap = xNew<IssmDouble>(numvertices);
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361 | IssmDouble* runoff = xNew<IssmDouble>(numvertices);
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362 | IssmDouble* smb = xNew<IssmDouble>(numvertices);
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363 |
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364 | /*Recover Smb Components*/
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365 | element->GetInputListOnVertices(acc,SmbAccumulationEnum);
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366 | element->GetInputListOnVertices(evap,SmbEvaporationEnum);
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367 | element->GetInputListOnVertices(runoff,SmbRunoffEnum);
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368 |
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369 | // loop over all vertices
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370 | for(v=0;v<numvertices;v++){
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371 | smb[v]=acc[v]-evap[v]-runoff[v];
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372 | } //end of the loop over the vertices
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373 |
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374 | /*Add input to element and Free memory*/
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375 | element->AddInput(SmbMassBalanceEnum,smb,P1Enum);
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376 | xDelete<IssmDouble>(acc);
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377 | xDelete<IssmDouble>(evap);
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378 | xDelete<IssmDouble>(runoff);
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379 | xDelete<IssmDouble>(smb);
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380 | }
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381 |
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382 | }/*}}}*/
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383 | void SmbMeltComponentsx(FemModel* femmodel){/*{{{*/
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384 |
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385 | // void SmbMeltComponentsx(acc,evap,melt,refreeze,ni){
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386 | // INPUT parameters: ni: working size of arrays
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387 | // INPUT: surface accumulation (m/yr water equivalent): acc
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388 | // surface evaporation (m/yr water equivalent): evap
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389 | // surface melt (m/yr water equivalent): melt
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390 | // refreeze of surface melt (m/yr water equivalent): refreeze
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391 | // OUTPUT: mass-balance (m/yr ice): agd(NA)
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392 | int v;
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393 |
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394 | /*Loop over all the elements of this partition*/
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395 | for(int i=0;i<femmodel->elements->Size();i++){
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396 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
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397 |
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398 | /*Allocate all arrays*/
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399 | int numvertices = element->GetNumberOfVertices();
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400 | IssmDouble* acc = xNew<IssmDouble>(numvertices);
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401 | IssmDouble* evap = xNew<IssmDouble>(numvertices);
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402 | IssmDouble* melt = xNew<IssmDouble>(numvertices);
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403 | IssmDouble* refreeze = xNew<IssmDouble>(numvertices);
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404 | IssmDouble* smb = xNew<IssmDouble>(numvertices);
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405 |
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406 | /*Recover Smb Components*/
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407 | element->GetInputListOnVertices(acc,SmbAccumulationEnum);
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408 | element->GetInputListOnVertices(evap,SmbEvaporationEnum);
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409 | element->GetInputListOnVertices(melt,SmbMeltEnum);
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410 | element->GetInputListOnVertices(refreeze,SmbRefreezeEnum);
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411 |
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412 | // loop over all vertices
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413 | for(v=0;v<numvertices;v++){
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414 | smb[v]=acc[v]-evap[v]-melt[v]+refreeze[v];
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415 | } //end of the loop over the vertices
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416 |
|
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417 | /*Add input to element and Free memory*/
|
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418 | element->AddInput(SmbMassBalanceEnum,smb,P1Enum);
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419 | xDelete<IssmDouble>(acc);
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420 | xDelete<IssmDouble>(evap);
|
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421 | xDelete<IssmDouble>(melt);
|
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422 | xDelete<IssmDouble>(refreeze);
|
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423 | xDelete<IssmDouble>(smb);
|
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424 | }
|
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425 |
|
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426 | }/*}}}*/
|
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427 | void SmbGradientsComponentsx(FemModel* femmodel){/*{{{*/
|
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428 |
|
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429 | // void SurfaceMassBalancex(hd,agd,ni){
|
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430 | // INPUT parameters: ni: working size of arrays
|
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431 | // INPUT: surface elevation (m): hd(NA)
|
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432 | // OUTPUT: mass-balance (m/yr ice): agd(NA)
|
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433 |
|
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434 | for(int i=0;i<femmodel->elements->Size();i++){
|
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435 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
|
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436 | element->SmbGradCompParameterization();
|
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437 | }
|
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438 |
|
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439 | }/*}}}*/
|
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440 | #ifdef _HAVE_SEMIC_
|
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441 | void SmbSemicx(FemModel* femmodel){/*{{{*/
|
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442 |
|
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443 | for(int i=0;i<femmodel->elements->Size();i++){
|
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444 | Element* element=xDynamicCast<Element*>(femmodel->elements->GetObjectByOffset(i));
|
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445 | element->SmbSemic();
|
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446 | }
|
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447 |
|
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448 | }/*}}}*/
|
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449 | #else
|
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450 | void SmbSemicx(FemModel* femmodel){_error_("SEMIC not installed");}
|
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451 | #endif //_HAVE_SEMIC_
|
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