| 1 | function md=setflowequation(md,varargin)
|
|---|
| 2 | %SETFLOWEQUATION - associate a solution type to each element
|
|---|
| 3 | %
|
|---|
| 4 | % This routine works like plotmodel: it works with an even number of inputs
|
|---|
| 5 | % 'SIA','SSA','L1L2','HO','FS' and 'fill' are the possible options
|
|---|
| 6 | % that must be followed by the corresponding exp file or flags list
|
|---|
| 7 | % It can either be a domain file (argus type, .exp extension), or an array of element flags.
|
|---|
| 8 | % If user wants every element outside the domain to be
|
|---|
| 9 | % setflowequationd, add '~' to the name of the domain file (ex: '~HO.exp');
|
|---|
| 10 | % an empty string '' will be considered as an empty domain
|
|---|
| 11 | % a string 'all' will be considered as the entire domain
|
|---|
| 12 | % You can specify the type of coupling, 'penalties' or 'tiling', to use with the input 'coupling'
|
|---|
| 13 | % NB: L1L2 cannot currently be coupled to any other ice flow model
|
|---|
| 14 | %
|
|---|
| 15 | % Usage:
|
|---|
| 16 | % md=setflowequation(md,varargin)
|
|---|
| 17 | %
|
|---|
| 18 | % Example:
|
|---|
| 19 | % md=setflowequation(md,'HO','HO.exp',fill','SIA','coupling','tiling');
|
|---|
| 20 |
|
|---|
| 21 | %some checks on list of arguments
|
|---|
| 22 | if ((nargin<2) | (nargout~=1)),
|
|---|
| 23 | error('setflowequation error message');
|
|---|
| 24 | end
|
|---|
| 25 |
|
|---|
| 26 | %Process options
|
|---|
| 27 | options=pairoptions(varargin{:});
|
|---|
| 28 | options=deleteduplicates(options,1);
|
|---|
| 29 |
|
|---|
| 30 | %Find_out what kind of coupling to use
|
|---|
| 31 | coupling_method=getfieldvalue(options,'coupling','tiling');
|
|---|
| 32 | if (~strcmpi(coupling_method,'tiling') & ~strcmpi(coupling_method,'penalties')),
|
|---|
| 33 | error('coupling type can only be: tiling or penalties');
|
|---|
| 34 | end
|
|---|
| 35 |
|
|---|
| 36 | %recover elements distribution
|
|---|
| 37 | SIAflag = FlagElements(md,getfieldvalue(options,'SIA',''));
|
|---|
| 38 | SSAflag = FlagElements(md,getfieldvalue(options,'SSA',''));
|
|---|
| 39 | HOflag = FlagElements(md,getfieldvalue(options,'HO',''));
|
|---|
| 40 | L1L2flag = FlagElements(md,getfieldvalue(options,'L1L2',''));
|
|---|
| 41 | FSflag = FlagElements(md,getfieldvalue(options,'FS',''));
|
|---|
| 42 | filltype = getfieldvalue(options,'fill','none');
|
|---|
| 43 | displayunused(options);
|
|---|
| 44 |
|
|---|
| 45 | %Flag the elements that have not been flagged as filltype
|
|---|
| 46 | if strcmpi(filltype,'SIA'),
|
|---|
| 47 | SIAflag(find(~(SSAflag | HOflag)))=1;
|
|---|
| 48 | elseif strcmpi(filltype,'SSA'),
|
|---|
| 49 | SSAflag(find(~(SIAflag | HOflag | FSflag)))=1;
|
|---|
| 50 | elseif strcmpi(filltype,'HO'),
|
|---|
| 51 | HOflag(find(~(SIAflag | SSAflag | FSflag)))=1;
|
|---|
| 52 | end
|
|---|
| 53 |
|
|---|
| 54 | %check that each element has at least one flag
|
|---|
| 55 | if any(SIAflag+SSAflag+HOflag+L1L2flag+FSflag==0),
|
|---|
| 56 | error('elements type not assigned, supported models are ''SIA'',''SSA'',''HO'' and ''FS''')
|
|---|
| 57 | end
|
|---|
| 58 |
|
|---|
| 59 | %check that each element has only one flag
|
|---|
| 60 | if any(SIAflag+SSAflag+HOflag+L1L2flag+FSflag>1),
|
|---|
| 61 | disp('setflowequation warning message: some elements have several types, higher order type is used for them')
|
|---|
| 62 | SIAflag(find(SIAflag & SSAflag))=0;
|
|---|
| 63 | SIAflag(find(SIAflag & HOflag))=0;
|
|---|
| 64 | SSAflag(find(SSAflag & HOflag))=0;
|
|---|
| 65 | end
|
|---|
| 66 |
|
|---|
| 67 | %check that L1L2 is not coupled to any other model for now
|
|---|
| 68 | if any(L1L2flag) & any(SIAflag | SSAflag | HOflag | FSflag)
|
|---|
| 69 | error('L1L2 cannot be coupled to any other model');
|
|---|
| 70 | end
|
|---|
| 71 |
|
|---|
| 72 | %Check that no HO or FS for 2d mesh
|
|---|
| 73 | if strcmp(domaintype(md.mesh),'2Dhorizontal')
|
|---|
| 74 | if any(FSflag | HOflag)
|
|---|
| 75 | error('FS and HO elements not allowed in 2d mesh, extrude it first')
|
|---|
| 76 | end
|
|---|
| 77 | end
|
|---|
| 78 |
|
|---|
| 79 | %FS can only be used alone for now:
|
|---|
| 80 | if any(FSflag) &any(SIAflag),
|
|---|
| 81 | error('FS cannot be used with any other model for now, put FS everywhere')
|
|---|
| 82 | end
|
|---|
| 83 |
|
|---|
| 84 | %Initialize node fields
|
|---|
| 85 | nodeonSIA=zeros(md.mesh.numberofvertices,1);
|
|---|
| 86 | nodeonSIA(md.mesh.elements(find(SIAflag),:))=1;
|
|---|
| 87 | nodeonSSA=zeros(md.mesh.numberofvertices,1);
|
|---|
| 88 | nodeonSSA(md.mesh.elements(find(SSAflag),:))=1;
|
|---|
| 89 | nodeonHO=zeros(md.mesh.numberofvertices,1);
|
|---|
| 90 | nodeonHO(md.mesh.elements(find(HOflag),:))=1;
|
|---|
| 91 | nodeonL1L2=zeros(md.mesh.numberofvertices,1);
|
|---|
| 92 | nodeonL1L2(md.mesh.elements(find(L1L2flag),:))=1;
|
|---|
| 93 | nodeonFS=zeros(md.mesh.numberofvertices,1);
|
|---|
| 94 | noneflag=zeros(md.mesh.numberofelements,1);
|
|---|
| 95 |
|
|---|
| 96 | %First modify FSflag to get rid of elements contrained everywhere (spc + border with HO or SSA)
|
|---|
| 97 | if any(FSflag),
|
|---|
| 98 | fullspcnodes=double((~isnan(md.stressbalance.spcvx)+~isnan(md.stressbalance.spcvy)+~isnan(md.stressbalance.spcvz))==3 | (nodeonHO & nodeonFS)); %find all the nodes on the boundary of the domain without icefront
|
|---|
| 99 | fullspcelems=double(sum(fullspcnodes(md.mesh.elements),2)==6); %find all the nodes on the boundary of the domain without icefront
|
|---|
| 100 | FSflag(find(fullspcelems))=0;
|
|---|
| 101 | nodeonFS(md.mesh.elements(find(FSflag),:))=1;
|
|---|
| 102 | end
|
|---|
| 103 |
|
|---|
| 104 | %Then complete with NoneApproximation or the other model used if there is no FS
|
|---|
| 105 | if any(FSflag),
|
|---|
| 106 | if any(HOflag), %fill with HO
|
|---|
| 107 | HOflag(~FSflag)=1;
|
|---|
| 108 | nodeonHO(md.mesh.elements(find(HOflag),:))=1;
|
|---|
| 109 | elseif any(SSAflag), %fill with SSA
|
|---|
| 110 | SSAflag(~FSflag)=1;
|
|---|
| 111 | nodeonSSA(md.mesh.elements(find(SSAflag),:))=1;
|
|---|
| 112 | else %fill with none
|
|---|
| 113 | noneflag(find(~FSflag))=1;
|
|---|
| 114 | end
|
|---|
| 115 | end
|
|---|
| 116 |
|
|---|
| 117 | %Now take care of the coupling between SSA and HO
|
|---|
| 118 | md.stressbalance.vertex_pairing=[];
|
|---|
| 119 | nodeonSSAHO=zeros(md.mesh.numberofvertices,1);
|
|---|
| 120 | nodeonHOFS=zeros(md.mesh.numberofvertices,1);
|
|---|
| 121 | nodeonSSAFS=zeros(md.mesh.numberofvertices,1);
|
|---|
| 122 | SSAHOflag=zeros(md.mesh.numberofelements,1);
|
|---|
| 123 | SSAFSflag=zeros(md.mesh.numberofelements,1);
|
|---|
| 124 | HOFSflag=zeros(md.mesh.numberofelements,1);
|
|---|
| 125 | if strcmpi(coupling_method,'penalties'),
|
|---|
| 126 | %Create the border nodes between HO and SSA and extrude them
|
|---|
| 127 | numnodes2d=md.mesh.numberofvertices2d;
|
|---|
| 128 | numlayers=md.mesh.numberoflayers;
|
|---|
| 129 | bordernodes2d=find(nodeonHO(1:numnodes2d) & nodeonSSA(1:numnodes2d)); %Nodes connected to two different types of elements
|
|---|
| 130 |
|
|---|
| 131 | %initialize and fill in penalties structure
|
|---|
| 132 | if ~isnan(bordernodes2d),
|
|---|
| 133 | penalties=[];
|
|---|
| 134 | for i=1:numlayers-1,
|
|---|
| 135 | penalties=[penalties; [bordernodes2d bordernodes2d+md.mesh.numberofvertices2d*(i)]];
|
|---|
| 136 | end
|
|---|
| 137 | md.stressbalance.vertex_pairing=penalties;
|
|---|
| 138 | end
|
|---|
| 139 | elseif strcmpi(coupling_method,'tiling'),
|
|---|
| 140 | if any(SSAflag) & any(HOflag), %coupling SSA HO
|
|---|
| 141 | %Find node at the border
|
|---|
| 142 | nodeonSSAHO(find(nodeonSSA & nodeonHO))=1;
|
|---|
| 143 | %SSA elements in contact with this layer become SSAHO elements
|
|---|
| 144 | matrixelements=ismember(md.mesh.elements,find(nodeonSSAHO));
|
|---|
| 145 | commonelements=sum(matrixelements,2)~=0;
|
|---|
| 146 | commonelements(find(HOflag))=0; %only one layer: the elements previously in SSA
|
|---|
| 147 | SSAflag(find(commonelements))=0; %these elements are now SSAHOelements
|
|---|
| 148 | SSAHOflag(find(commonelements))=1;
|
|---|
| 149 | nodeonSSA(:)=0;
|
|---|
| 150 | nodeonSSA(md.mesh.elements(find(SSAflag),:))=1;
|
|---|
| 151 |
|
|---|
| 152 | %rule out elements that don't touch the 2 boundaries
|
|---|
| 153 | pos=find(SSAHOflag);
|
|---|
| 154 | elist=zeros(length(pos),1);
|
|---|
| 155 | elist = elist + any(sum(nodeonSSA(md.mesh.elements(pos,:)),2),2);
|
|---|
| 156 | elist = elist - any(sum(nodeonHO(md.mesh.elements(pos,:)) ,2),2);
|
|---|
| 157 | pos1=find(elist==1);
|
|---|
| 158 | SSAflag(pos(pos1))=1;
|
|---|
| 159 | SSAHOflag(pos(pos1))=0;
|
|---|
| 160 | pos2=find(elist==-1);
|
|---|
| 161 | HOflag(pos(pos2))=1;
|
|---|
| 162 | SSAHOflag(pos(pos2))=0;
|
|---|
| 163 |
|
|---|
| 164 | %Recompute nodes associated to these elements
|
|---|
| 165 | nodeonSSA(:)=0;
|
|---|
| 166 | nodeonSSA(md.mesh.elements(find(SSAflag),:))=1;
|
|---|
| 167 | nodeonHO(:)=0;
|
|---|
| 168 | nodeonHO(md.mesh.elements(find(HOflag),:))=1;
|
|---|
| 169 | nodeonSSAHO(:)=0;
|
|---|
| 170 | nodeonSSAHO(md.mesh.elements(find(SSAHOflag),:))=1;
|
|---|
| 171 |
|
|---|
| 172 | elseif any(HOflag) & any(FSflag), %coupling HO FS
|
|---|
| 173 | %Find node at the border
|
|---|
| 174 | nodeonHOFS(find(nodeonHO & nodeonFS))=1;
|
|---|
| 175 | %FS elements in contact with this layer become HOFS elements
|
|---|
| 176 | matrixelements=ismember(md.mesh.elements,find(nodeonHOFS));
|
|---|
| 177 | commonelements=sum(matrixelements,2)~=0;
|
|---|
| 178 | commonelements(find(HOflag))=0; %only one layer: the elements previously in SSA
|
|---|
| 179 | FSflag(find(commonelements))=0; %these elements are now SSAHOelements
|
|---|
| 180 | HOFSflag(find(commonelements))=1;
|
|---|
| 181 | nodeonFS=zeros(md.mesh.numberofvertices,1);
|
|---|
| 182 | nodeonFS(md.mesh.elements(find(FSflag),:))=1;
|
|---|
| 183 |
|
|---|
| 184 | %rule out elements that don't touch the 2 boundaries
|
|---|
| 185 | pos=find(HOFSflag);
|
|---|
| 186 | elist=zeros(length(pos),1);
|
|---|
| 187 | elist = elist + any(sum(nodeonFS(md.mesh.elements(pos,:)),2),2);
|
|---|
| 188 | elist = elist - any(sum(nodeonHO(md.mesh.elements(pos,:)),2),2);
|
|---|
| 189 | pos1=find(elist==1);
|
|---|
| 190 | FSflag(pos(pos1))=1;
|
|---|
| 191 | HOFSflag(pos(pos1))=0;
|
|---|
| 192 | pos2=find(elist==-1);
|
|---|
| 193 | HOflag(pos(pos2))=1;
|
|---|
| 194 | HOFSflag(pos(pos2))=0;
|
|---|
| 195 |
|
|---|
| 196 | %Recompute nodes associated to these elements
|
|---|
| 197 | nodeonFS(:)=0;
|
|---|
| 198 | nodeonFS(md.mesh.elements(find(FSflag),:))=1;
|
|---|
| 199 | nodeonHO(:)=0;
|
|---|
| 200 | nodeonHO(md.mesh.elements(find(HOflag),:))=1;
|
|---|
| 201 | nodeonHOFS(:)=0;
|
|---|
| 202 | nodeonHOFS(md.mesh.elements(find(HOFSflag),:))=1;
|
|---|
| 203 |
|
|---|
| 204 | elseif any(FSflag) & any(SSAflag),
|
|---|
| 205 | %Find node at the border
|
|---|
| 206 | nodeonSSAFS(find(nodeonSSA & nodeonFS))=1;
|
|---|
| 207 | %FS elements in contact with this layer become SSAFS elements
|
|---|
| 208 | matrixelements=ismember(md.mesh.elements,find(nodeonSSAFS));
|
|---|
| 209 | commonelements=sum(matrixelements,2)~=0;
|
|---|
| 210 | commonelements(find(SSAflag))=0; %only one layer: the elements previously in SSA
|
|---|
| 211 | FSflag(find(commonelements))=0; %these elements are now SSASSAelements
|
|---|
| 212 | SSAFSflag(find(commonelements))=1;
|
|---|
| 213 | nodeonFS=zeros(md.mesh.numberofvertices,1);
|
|---|
| 214 | nodeonFS(md.mesh.elements(find(FSflag),:))=1;
|
|---|
| 215 |
|
|---|
| 216 | %rule out elements that don't touch the 2 boundaries
|
|---|
| 217 | pos=find(SSAFSflag);
|
|---|
| 218 | elist=zeros(length(pos),1);
|
|---|
| 219 | elist = elist + any(sum(nodeonSSA(md.mesh.elements(pos,:)),2),2);
|
|---|
| 220 | elist = elist - any(sum(nodeonFS(md.mesh.elements(pos,:)) ,2),2);
|
|---|
| 221 | pos1=find(elist==1);
|
|---|
| 222 | SSAflag(pos(pos1))=1;
|
|---|
| 223 | SSAFSflag(pos(pos1))=0;
|
|---|
| 224 | pos2=find(elist==-1);
|
|---|
| 225 | FSflag(pos(pos2))=1;
|
|---|
| 226 | SSAFSflag(pos(pos2))=0;
|
|---|
| 227 |
|
|---|
| 228 | %Recompute nodes associated to these elements
|
|---|
| 229 | nodeonSSA(:)=0;
|
|---|
| 230 | nodeonSSA(md.mesh.elements(find(SSAflag),:))=1;
|
|---|
| 231 | nodeonFS(:)=0;
|
|---|
| 232 | nodeonFS(md.mesh.elements(find(FSflag),:))=1;
|
|---|
| 233 | nodeonSSAFS(:)=0;
|
|---|
| 234 | nodeonSSAFS(md.mesh.elements(find(SSAFSflag),:))=1;
|
|---|
| 235 |
|
|---|
| 236 | elseif any(FSflag) & any(SIAflag),
|
|---|
| 237 | error('type of coupling not supported yet');
|
|---|
| 238 | end
|
|---|
| 239 | end
|
|---|
| 240 |
|
|---|
| 241 | %Create element equations
|
|---|
| 242 | md.flowequation.element_equation=zeros(md.mesh.numberofelements,1);
|
|---|
| 243 | md.flowequation.element_equation(find(noneflag))=0;
|
|---|
| 244 | md.flowequation.element_equation(find(SIAflag))=1;
|
|---|
| 245 | md.flowequation.element_equation(find(SSAflag))=2;
|
|---|
| 246 | md.flowequation.element_equation(find(L1L2flag))=3;
|
|---|
| 247 | md.flowequation.element_equation(find(HOflag))=4;
|
|---|
| 248 | md.flowequation.element_equation(find(FSflag))=5;
|
|---|
| 249 | md.flowequation.element_equation(find(SSAHOflag))=6;
|
|---|
| 250 | md.flowequation.element_equation(find(SSAFSflag))=7;
|
|---|
| 251 | md.flowequation.element_equation(find(HOFSflag))=8;
|
|---|
| 252 |
|
|---|
| 253 | %border
|
|---|
| 254 | md.flowequation.borderHO=nodeonHO;
|
|---|
| 255 | md.flowequation.borderSSA=nodeonSSA;
|
|---|
| 256 | md.flowequation.borderFS=nodeonFS;
|
|---|
| 257 |
|
|---|
| 258 | %Create vertices_type
|
|---|
| 259 | md.flowequation.vertex_equation=zeros(md.mesh.numberofvertices,1);
|
|---|
| 260 | pos=find(nodeonSSA);
|
|---|
| 261 | md.flowequation.vertex_equation(pos)=2;
|
|---|
| 262 | pos=find(nodeonL1L2);
|
|---|
| 263 | md.flowequation.vertex_equation(pos)=3;
|
|---|
| 264 | pos=find(nodeonHO);
|
|---|
| 265 | md.flowequation.vertex_equation(pos)=4;
|
|---|
| 266 | pos=find(nodeonFS);
|
|---|
| 267 | md.flowequation.vertex_equation(pos)=5;
|
|---|
| 268 | %DO SIA LAST! Otherwise spcs might not be set up correctly (SIA should have priority)
|
|---|
| 269 | pos=find(nodeonSIA);
|
|---|
| 270 | md.flowequation.vertex_equation(pos)=1;
|
|---|
| 271 | if any(FSflag),
|
|---|
| 272 | pos=find(~nodeonFS);
|
|---|
| 273 | if(~any(HOflag) & ~any(SSAflag)),
|
|---|
| 274 | md.flowequation.vertex_equation(pos)=0;
|
|---|
| 275 | end
|
|---|
| 276 | end
|
|---|
| 277 | pos=find(nodeonSSAHO);
|
|---|
| 278 | md.flowequation.vertex_equation(pos)=6;
|
|---|
| 279 | pos=find(nodeonHOFS);
|
|---|
| 280 | md.flowequation.vertex_equation(pos)=7;
|
|---|
| 281 | pos=find(nodeonSSAFS);
|
|---|
| 282 | md.flowequation.vertex_equation(pos)=8;
|
|---|
| 283 |
|
|---|
| 284 | %figure out solution types
|
|---|
| 285 | md.flowequation.isSIA = double(any(md.flowequation.element_equation == 1));
|
|---|
| 286 | md.flowequation.isSSA = double(any(md.flowequation.element_equation == 2));
|
|---|
| 287 | md.flowequation.isL1L2 = double(any(md.flowequation.element_equation == 3));
|
|---|
| 288 | md.flowequation.isHO = double(any(md.flowequation.element_equation == 4));
|
|---|
| 289 | md.flowequation.isFS = double(any(md.flowequation.element_equation == 5));
|
|---|
| 290 |
|
|---|
| 291 | return
|
|---|
| 292 |
|
|---|
| 293 | %Check that tiling can work:
|
|---|
| 294 | if any(md.flowequation.borderSSA) & any(md.flowequation.borderHO) & any(md.flowequation.borderHO + md.flowequation.borderSSA ~=1),
|
|---|
| 295 | error('error coupling domain too irregular');
|
|---|
| 296 | end
|
|---|
| 297 | if any(md.flowequation.borderSSA) & any(md.flowequation.borderFS) & any(md.flowequation.borderFS + md.flowequation.borderSSA ~=1),
|
|---|
| 298 | error('error coupling domain too irregular');
|
|---|
| 299 | end
|
|---|
| 300 | if any(md.flowequation.borderFS) & any(md.flowequation.borderHO) & any(md.flowequation.borderHO + md.flowequation.borderFS~=1),
|
|---|
| 301 | error('error coupling domain too irregular');
|
|---|
| 302 | end
|
|---|