| 1 | #include "./HydrologyShreveAnalysis.h"
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| 2 | #include "../toolkits/toolkits.h"
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| 3 | #include "../classes/classes.h"
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| 4 | #include "../shared/shared.h"
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| 5 | #include "../modules/modules.h"
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| 6 |
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| 7 | /*Model processing*/
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| 8 | void HydrologyShreveAnalysis::CreateConstraints(Constraints* constraints,IoModel* iomodel){/*{{{*/
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| 9 |
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| 10 | /*retrieve some parameters: */
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| 11 | int hydrology_model;
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| 12 | iomodel->FindConstant(&hydrology_model,"md.hydrology.model");
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| 13 |
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| 14 | if(hydrology_model!=HydrologyshreveEnum) return;
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| 15 |
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| 16 | IoModelToConstraintsx(constraints,iomodel,"md.hydrologyshreve.spcwatercolumn",HydrologyShreveAnalysisEnum,P1Enum);
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| 17 |
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| 18 | }/*}}}*/
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| 19 | void HydrologyShreveAnalysis::CreateLoads(Loads* loads, IoModel* iomodel){/*{{{*/
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| 20 | /*No loads*/
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| 21 | }/*}}}*/
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| 22 | void HydrologyShreveAnalysis::CreateNodes(Nodes* nodes,IoModel* iomodel,bool isamr){/*{{{*/
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| 23 |
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| 24 | /*Fetch parameters: */
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| 25 | int hydrology_model;
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| 26 | iomodel->FindConstant(&hydrology_model,"md.hydrology.model");
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| 27 |
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| 28 | /*Now, do we really want Shreve?*/
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| 29 | if(hydrology_model!=HydrologyshreveEnum) return;
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| 30 |
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| 31 | if(iomodel->domaintype==Domain3DEnum) iomodel->FetchData(2,"md.mesh.vertexonbase","md.mesh.vertexonsurface");
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| 32 | ::CreateNodes(nodes,iomodel,HydrologyShreveAnalysisEnum,P1Enum);
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| 33 | iomodel->DeleteData(2,"md.mesh.vertexonbase","md.mesh.vertexonsurface");
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| 34 | }/*}}}*/
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| 35 | int HydrologyShreveAnalysis::DofsPerNode(int** doflist,int domaintype,int approximation){/*{{{*/
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| 36 | return 1;
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| 37 | }/*}}}*/
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| 38 | void HydrologyShreveAnalysis::UpdateElements(Elements* elements,Inputs* inputs,IoModel* iomodel,int analysis_counter,int analysis_type){/*{{{*/
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| 39 |
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| 40 | /*Fetch data needed: */
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| 41 | int hydrology_model;
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| 42 | iomodel->FindConstant(&hydrology_model,"md.hydrology.model");
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| 43 |
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| 44 | /*Now, do we really want Shreve?*/
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| 45 | if(hydrology_model!=HydrologyshreveEnum) return;
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| 46 |
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| 47 | /*Update elements: */
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| 48 | int counter=0;
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| 49 | for(int i=0;i<iomodel->numberofelements;i++){
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| 50 | if(iomodel->my_elements[i]){
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| 51 | Element* element=(Element*)elements->GetObjectByOffset(counter);
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| 52 | element->Update(inputs,i,iomodel,analysis_counter,analysis_type,P1Enum);
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| 53 | counter++;
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| 54 | }
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| 55 | }
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| 56 |
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| 57 | iomodel->FetchDataToInput(inputs,elements,"md.geometry.thickness",ThicknessEnum);
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| 58 | iomodel->FetchDataToInput(inputs,elements,"md.geometry.surface",SurfaceEnum);
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| 59 | iomodel->FetchDataToInput(inputs,elements,"md.geometry.base",BaseEnum);
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| 60 | iomodel->FetchDataToInput(inputs,elements,"md.solidearth.initialsealevel",SealevelEnum,0);
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| 61 | if(iomodel->domaintype!=Domain2DhorizontalEnum){
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| 62 | iomodel->FetchDataToInput(inputs,elements,"md.mesh.vertexonbase",MeshVertexonbaseEnum);
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| 63 | iomodel->FetchDataToInput(inputs,elements,"md.mesh.vertexonsurface",MeshVertexonsurfaceEnum);
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| 64 | }
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| 65 | iomodel->FetchDataToInput(inputs,elements,"md.mask.ice_levelset",MaskIceLevelsetEnum);
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| 66 | iomodel->FetchDataToInput(inputs,elements,"md.mask.ocean_levelset",MaskOceanLevelsetEnum);
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| 67 | iomodel->FetchDataToInput(inputs,elements,"md.basalforcings.groundedice_melting_rate",BasalforcingsGroundediceMeltingRateEnum);
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| 68 | iomodel->FetchDataToInput(inputs,elements,"md.initialization.watercolumn",WatercolumnEnum);
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| 69 |
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| 70 | inputs->DuplicateInput(WatercolumnEnum,WaterColumnOldEnum);
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| 71 | }/*}}}*/
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| 72 | void HydrologyShreveAnalysis::UpdateParameters(Parameters* parameters,IoModel* iomodel,int solution_enum,int analysis_enum){/*{{{*/
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| 73 |
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| 74 | /*retrieve some parameters: */
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| 75 | int hydrology_model;
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| 76 | int numoutputs;
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| 77 | char** requestedoutputs = NULL;
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| 78 | iomodel->FindConstant(&hydrology_model,"md.hydrology.model");
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| 79 |
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| 80 | /*Now, do we really want Shreve?*/
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| 81 | if(hydrology_model!=HydrologyshreveEnum) return;
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| 82 |
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| 83 | parameters->AddObject(new IntParam(HydrologyModelEnum,hydrology_model));
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| 84 | parameters->AddObject(iomodel->CopyConstantObject("md.hydrology.stabilization",HydrologyshreveStabilizationEnum));
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| 85 | /*Requested outputs*/
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| 86 | iomodel->FindConstant(&requestedoutputs,&numoutputs,"md.hydrology.requested_outputs");
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| 87 | parameters->AddObject(new IntParam(HydrologyNumRequestedOutputsEnum,numoutputs));
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| 88 | if(numoutputs)parameters->AddObject(new StringArrayParam(HydrologyRequestedOutputsEnum,requestedoutputs,numoutputs));
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| 89 | iomodel->DeleteData(&requestedoutputs,numoutputs,"md.hydrology.requested_outputs");
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| 90 |
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| 91 | }/*}}}*/
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| 92 |
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| 93 | /*Finite Element Analysis*/
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| 94 | void HydrologyShreveAnalysis::Core(FemModel* femmodel){/*{{{*/
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| 95 | _error_("not implemented");
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| 96 | }/*}}}*/
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| 97 | ElementVector* HydrologyShreveAnalysis::CreateDVector(Element* element){/*{{{*/
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| 98 | /*Default, return NULL*/
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| 99 | return NULL;
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| 100 | }/*}}}*/
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| 101 | void HydrologyShreveAnalysis::CreateHydrologyWaterVelocityInput(Element* element){/*{{{*/
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| 102 |
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| 103 | /*Intermediaries*/
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| 104 | IssmDouble dsdx,dsdy,dbdx,dbdy,w;
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| 105 |
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| 106 | /*Retrieve all inputs and parameters*/
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| 107 | IssmDouble rho_ice = element->FindParam(MaterialsRhoIceEnum);
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| 108 | IssmDouble rho_water = element->FindParam(MaterialsRhoSeawaterEnum);
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| 109 | IssmDouble g = element->FindParam(ConstantsGEnum);
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| 110 | IssmDouble mu_water = element->FindParam(MaterialsMuWaterEnum);
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| 111 | Input* surfaceslopex_input = element->GetInput(SurfaceSlopeXEnum); _assert_(surfaceslopex_input);
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| 112 | Input* surfaceslopey_input = element->GetInput(SurfaceSlopeYEnum); _assert_(surfaceslopey_input);
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| 113 | Input* bedslopex_input = element->GetInput(BedSlopeXEnum); _assert_(bedslopex_input);
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| 114 | Input* bedslopey_input = element->GetInput(BedSlopeYEnum); _assert_(bedslopey_input);
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| 115 | Input* watercolumn_input = element->GetInput(WatercolumnEnum); _assert_(watercolumn_input);
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| 116 |
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| 117 | /*Fetch number of vertices and allocate output*/
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| 118 | int numvertices = element->GetNumberOfVertices();
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| 119 | IssmDouble* vx = xNew<IssmDouble>(numvertices);
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| 120 | IssmDouble* vy = xNew<IssmDouble>(numvertices);
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| 121 |
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| 122 | Gauss* gauss=element->NewGauss();
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| 123 | for(int iv=0;iv<numvertices;iv++){
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| 124 | gauss->GaussVertex(iv);
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| 125 | surfaceslopex_input->GetInputValue(&dsdx,gauss);
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| 126 | surfaceslopey_input->GetInputValue(&dsdy,gauss);
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| 127 | bedslopex_input->GetInputValue(&dbdx,gauss);
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| 128 | bedslopey_input->GetInputValue(&dbdy,gauss);
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| 129 | watercolumn_input->GetInputValue(&w,gauss);
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| 130 |
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| 131 | /* Water velocity x and y components */
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| 132 | vx[iv]= - w*w/(12 * mu_water)*(rho_ice*g*dsdx+(rho_water-rho_ice)*g*dbdx);
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| 133 | vy[iv]= - w*w/(12 * mu_water)*(rho_ice*g*dsdy+(rho_water-rho_ice)*g*dbdy);
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| 134 | }
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| 135 |
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| 136 | /*clean-up*/
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| 137 | delete gauss;
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| 138 |
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| 139 | /*Add to inputs*/
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| 140 | element->AddInput(HydrologyWaterVxEnum,vx,P1Enum);
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| 141 | element->AddInput(HydrologyWaterVyEnum,vy,P1Enum);
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| 142 | xDelete<IssmDouble>(vx);
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| 143 | xDelete<IssmDouble>(vy);
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| 144 | }/*}}}*/
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| 145 | ElementMatrix* HydrologyShreveAnalysis::CreateJacobianMatrix(Element* element){/*{{{*/
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| 146 | _error_("Not implemented");
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| 147 | }/*}}}*/
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| 148 | ElementMatrix* HydrologyShreveAnalysis::CreateKMatrix(Element* element){/*{{{*/
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| 149 |
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| 150 | /*Intermediaries */
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| 151 | IssmDouble diffusivity;
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| 152 | IssmDouble Jdet,D_scalar,dt,h;
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| 153 | IssmDouble vx,vy,vel,dvxdx,dvydy;
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| 154 | IssmDouble dvx[2],dvy[2];
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| 155 | IssmDouble* xyz_list = NULL;
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| 156 |
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| 157 | /*Fetch number of nodes and dof for this finite element*/
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| 158 | int numnodes = element->GetNumberOfNodes();
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| 159 |
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| 160 | /*Initialize Element vector and other vectors*/
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| 161 | ElementMatrix* Ke = element->NewElementMatrix();
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| 162 | IssmDouble* basis = xNew<IssmDouble>(numnodes);
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| 163 | IssmDouble* dbasis = xNew<IssmDouble>(2*numnodes);
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| 164 | IssmDouble D[2][2]={0.};
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| 165 |
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| 166 | /*Create water velocity vx and vy from current inputs*/
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| 167 | CreateHydrologyWaterVelocityInput(element);
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| 168 |
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| 169 | /*Retrieve all inputs and parameters*/
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| 170 | element->GetVerticesCoordinates(&xyz_list);
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| 171 | element->FindParam(&dt,TimesteppingTimeStepEnum);
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| 172 | element->FindParam(&diffusivity,HydrologyshreveStabilizationEnum);
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| 173 | Input* vx_input=element->GetInput(HydrologyWaterVxEnum); _assert_(vx_input);
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| 174 | Input* vy_input=element->GetInput(HydrologyWaterVyEnum); _assert_(vy_input);
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| 175 | h = element->CharacteristicLength();
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| 176 |
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| 177 | /* Start looping on the number of gaussian points: */
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| 178 | Gauss* gauss=element->NewGauss(2);
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| 179 | while(gauss->next()){
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| 180 |
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| 181 | element->JacobianDeterminant(&Jdet,xyz_list,gauss);
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| 182 | element->NodalFunctions(basis,gauss);
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| 183 | element->NodalFunctionsDerivatives(dbasis,xyz_list,gauss);
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| 184 |
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| 185 | vx_input->GetInputValue(&vx,gauss);
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| 186 | vy_input->GetInputValue(&vy,gauss);
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| 187 | vx_input->GetInputDerivativeValue(&dvx[0],xyz_list,gauss);
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| 188 | vy_input->GetInputDerivativeValue(&dvy[0],xyz_list,gauss);
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| 189 |
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| 190 | /*Transient term*/
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| 191 | D_scalar=gauss->weight*Jdet;
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| 192 | for(int i=0;i<numnodes;i++) for(int j=0;j<numnodes;j++) Ke->values[i*numnodes+j] += D_scalar*basis[i]*basis[j];
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| 193 |
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| 194 | /*Advection terms*/
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| 195 | dvxdx=dvx[0];
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| 196 | dvydy=dvy[1];
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| 197 | D_scalar=dt*gauss->weight*Jdet;
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| 198 | for(int i=0;i<numnodes;i++){
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| 199 | for(int j=0;j<numnodes;j++){
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| 200 | /*\phi_i \phi_j \nabla\cdot v*/
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| 201 | Ke->values[i*numnodes+j] += D_scalar*basis[i]*basis[j]*(dvxdx+dvydy);
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| 202 | /*\phi_i v\cdot\nabla\phi_j*/
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| 203 | Ke->values[i*numnodes+j] += D_scalar*basis[i]*(vx*dbasis[0*numnodes+j] + vy*dbasis[1*numnodes+j]);
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| 204 | }
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| 205 | }
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| 206 |
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| 207 | /*Artificial diffusivity*/
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| 208 | vel=sqrt(vx*vx+vy*vy);
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| 209 | D[0][0]=D_scalar*diffusivity*h/(2*vel)*vx*vx;
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| 210 | D[1][0]=D_scalar*diffusivity*h/(2*vel)*vy*vx;
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| 211 | D[0][1]=D_scalar*diffusivity*h/(2*vel)*vx*vy;
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| 212 | D[1][1]=D_scalar*diffusivity*h/(2*vel)*vy*vy;
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| 213 | for(int i=0;i<numnodes;i++){
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| 214 | for(int j=0;j<numnodes;j++){
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| 215 | Ke->values[i*numnodes+j] += (
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| 216 | dbasis[0*numnodes+i] *(D[0][0]*dbasis[0*numnodes+j] + D[0][1]*dbasis[1*numnodes+j]) +
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| 217 | dbasis[1*numnodes+i] *(D[1][0]*dbasis[0*numnodes+j] + D[1][1]*dbasis[1*numnodes+j])
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| 218 | );
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| 219 | }
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| 220 | }
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| 221 | }
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| 222 |
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| 223 | /*Clean up and return*/
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| 224 | xDelete<IssmDouble>(xyz_list);
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| 225 | xDelete<IssmDouble>(basis);
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| 226 | xDelete<IssmDouble>(dbasis);
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| 227 | delete gauss;
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| 228 | return Ke;
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| 229 | }/*}}}*/
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| 230 | ElementVector* HydrologyShreveAnalysis::CreatePVector(Element* element){/*{{{*/
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| 231 |
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| 232 | /*Skip if water or ice shelf element*/
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| 233 | if(element->IsFloating()) return NULL;
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| 234 |
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| 235 | /*Intermediaries */
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| 236 | IssmDouble Jdet,dt;
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| 237 | IssmDouble mb,oldw;
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| 238 | IssmDouble* xyz_list = NULL;
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| 239 |
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| 240 | /*Fetch number of nodes and dof for this finite element*/
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| 241 | int numnodes = element->GetNumberOfNodes();
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| 242 |
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| 243 | /*Initialize Element vector and other vectors*/
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| 244 | ElementVector* pe = element->NewElementVector();
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| 245 | IssmDouble* basis = xNew<IssmDouble>(numnodes);
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| 246 |
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| 247 | /*Retrieve all inputs and parameters*/
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| 248 | element->GetVerticesCoordinates(&xyz_list);
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| 249 | element->FindParam(&dt,TimesteppingTimeStepEnum);
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| 250 | Input* mb_input = element->GetInput(BasalforcingsGroundediceMeltingRateEnum); _assert_(mb_input);
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| 251 | Input* oldw_input = element->GetInput(WaterColumnOldEnum); _assert_(oldw_input);
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| 252 |
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| 253 | /*Initialize mb_correction to 0, do not forget!:*/
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| 254 | /* Start looping on the number of gaussian points: */
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| 255 | Gauss* gauss=element->NewGauss(2);
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| 256 | while(gauss->next()){
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| 257 |
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| 258 | element->JacobianDeterminant(&Jdet,xyz_list,gauss);
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| 259 | element->NodalFunctions(basis,gauss);
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| 260 |
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| 261 | mb_input->GetInputValue(&mb,gauss);
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| 262 | oldw_input->GetInputValue(&oldw,gauss);
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| 263 |
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| 264 | if(dt!=0.){
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| 265 | for(int i=0;i<numnodes;i++) pe->values[i]+=Jdet*gauss->weight*(oldw+dt*mb)*basis[i];
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| 266 | }
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| 267 | else{
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| 268 | for(int i=0;i<numnodes;i++) pe->values[i]+=Jdet*gauss->weight*mb*basis[i];
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| 269 | }
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| 270 | }
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| 271 |
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| 272 | /*Clean up and return*/
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| 273 | xDelete<IssmDouble>(xyz_list);
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| 274 | xDelete<IssmDouble>(basis);
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| 275 | delete gauss;
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| 276 | return pe;
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| 277 | }/*}}}*/
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| 278 | void HydrologyShreveAnalysis::GetSolutionFromInputs(Vector<IssmDouble>* solution,Element* element){/*{{{*/
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| 279 | element->GetSolutionFromInputsOneDof(solution,WatercolumnEnum);
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| 280 | }/*}}}*/
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| 281 | void HydrologyShreveAnalysis::GradientJ(Vector<IssmDouble>* gradient,Element* element,int control_type,int control_interp,int control_index){/*{{{*/
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| 282 | _error_("Not implemented yet");
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| 283 | }/*}}}*/
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| 284 | void HydrologyShreveAnalysis::InputUpdateFromSolution(IssmDouble* solution,Element* element){/*{{{*/
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| 285 |
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| 286 | /*Intermediary*/
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| 287 | int* doflist = NULL;
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| 288 |
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| 289 | /*Fetch number of nodes for this finite element*/
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| 290 | int numnodes = element->GetNumberOfNodes();
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| 291 |
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| 292 | /*Fetch dof list and allocate solution vector*/
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| 293 | element->GetDofListLocal(&doflist,NoneApproximationEnum,GsetEnum);
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| 294 | IssmDouble* values = xNew<IssmDouble>(numnodes);
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| 295 |
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| 296 | /*Use the dof list to index into the solution vector: */
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| 297 | for(int i=0;i<numnodes;i++){
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| 298 | values[i]=solution[doflist[i]];
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| 299 | if(xIsNan<IssmDouble>(values[i])) _error_("NaN found in solution vector");
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| 300 | if(xIsInf<IssmDouble>(values[i])) _error_("Inf found in solution vector");
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| 301 | if (values[i]<10e-10) values[i]=10e-10; //correcting the water column to positive values
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| 302 | }
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| 303 |
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| 304 | /*Add input to the element: */
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| 305 | element->AddInput(WatercolumnEnum,values,element->GetElementType());
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| 306 |
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| 307 | /*Free ressources:*/
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| 308 | xDelete<IssmDouble>(values);
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| 309 | xDelete<int>(doflist);
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| 310 | }/*}}}*/
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| 311 | void HydrologyShreveAnalysis::UpdateConstraints(FemModel* femmodel){/*{{{*/
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| 312 | /*Default, do nothing*/
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| 313 | return;
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| 314 | }/*}}}*/
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| 315 |
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| 316 | /*Needed changes to switch to the Johnson formulation*//*{{{*/
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| 317 | /*All the changes are to be done in the velocity computation.
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| 318 | The new velocity needs some new parameter that should be introduce in the hydrologyshreve class:
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| 319 | 'p' and 'q' which are the exponent of the Manning formula for laminar (p=2,q=1) or turbulent (p=2/3,q=1/2) flow
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| 320 | 'R' the hydraulic radius
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| 321 | 'n' the manning roughness coeficient
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| 322 |
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| 323 | With these, the velocity reads ;
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| 324 |
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| 325 | v= - (1/n)* pow(R,p)*pow((grad phi(rho_water*g)),q)
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| 326 |
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| 327 | you should also redefine the water pressure potential 'phi' with respect to the effective pressure deffinition given in Johson:
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| 328 | phi=(rho_ice*g*( surface + ((rho_water/rho_ice)-1)*base - k_n*((thickness* grad(base))/omega) )
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| 329 |
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| 330 | where
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| 331 | 'omega' is the fractional area of the base occupied by the water film
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| 332 | 'k_n' is a parameter
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| 333 | This last equation derives from the effective pressure definition developped in Alley 1989
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| 334 | */
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| 335 | /*}}}*/
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