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