1 | function femmodel=solver_couplingstokes_nonlinear(femmodel,conserve_loads)
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2 | %SOLVER_COUPLINGSTOKES_NONLINEAR - core solver of coupling run
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3 | %
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4 | % Usage:
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5 | % [femmodel]=solver_couplingstokes_nonlinear(femmodel,conserve_loads)
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6 |
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7 | %initialize solution vector
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8 | converged=0; count=1;
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9 |
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10 | %First get ug=ug_horiz+ug_vert
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11 | femmodel=SetCurrentConfiguration(femmodel,DiagnosticHorizAnalysisEnum);
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12 | ug_horiz=GetSolutionFromInputs(femmodel.elements, femmodel.nodes, femmodel.vertices, loads, femmodel.materials, femmodel.parameters);
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13 |
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14 | femmodel=SetCurrentConfiguration(femmodel,DiagnosticVertAnalysisEnum);
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15 | ug_vert=GetSolutionFromInputs(femmodel.elements, femmodel.nodes, femmodel.vertices, loads, femmodel.materials, femmodel.parameters);
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16 |
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17 | ug=ug_horiz+ug_vert;
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18 |
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19 | while(~converged),
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20 |
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21 | old_ug=ug;
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22 |
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23 | %First compute the horizontal velocity
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24 | femmodel=SetCurrentConfiguration(femmodel,DiagnosticHorizAnalysisEnum);
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25 |
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26 | %keep a copy of loads for now
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27 | loads=femmodel.loads;
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28 |
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29 | %Start non-linear iteration using input velocity:
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30 | ug_horiz=GetSolutionFromInputs(femmodel.elements, femmodel.nodes, femmodel.vertices, loads, femmodel.materials, femmodel.parameters);
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31 | uf_horiz=Reducevectorgtof( ug_horiz, femmodel.nodesets,femmodel.parameters);
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32 |
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33 | %Update the solution to make sure that vx and vxold are similar
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34 | [femmodel.elements,femmodel.materials]=InputUpdateFromSolution(femmodel.elements,femmodel.nodes,femmodel.vertices,loads,femmodel.materials,femmodel.parameters,ug_horiz);
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35 |
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36 | %save pointer to old velocity
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37 | old_ug_horiz=ug_horiz;
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38 | old_uf_horiz=uf_horiz;
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39 |
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40 | [K_gg,K_ff,K_fs,p_g,p_f,kmax]=SystemMatrices(femmodel.elements,femmodel.nodes,femmodel.vertices,loads,femmodel.materials,femmodel.parameters);
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41 |
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42 | [K_ff, K_fs] = Reducematrixfromgtof( K_gg, femmodel.nodesets,femmodel.parameters);
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43 | p_f = Reduceloadfromgtof( p_g, K_fs, femmodel.ys, femmodel.nodesets,femmodel.parameters);
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44 |
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45 | uf_horiz=Solver(K_ff,p_f,old_uf_horiz,femmodel.parameters);
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46 |
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47 | ug_horiz= Mergesolutionfromftog( uf_horiz, femmodel.ys, femmodel.nodesets,femmodel.parameters);
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48 |
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49 | [femmodel.elements,femmodel.materials]=InputUpdateFromSolution(femmodel.elements,femmodel.nodes,femmodel.vertices,loads,femmodel.materials,femmodel.parameters,ug_horiz);
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50 |
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51 | %Figure out if convergence have been reached
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52 | converged=convergence(K_ff,p_f,uf,old_uf,femmodel.parameters);
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53 |
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54 | %Then compute vertical velocity
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55 | femmodel=SetCurrentConfiguration(femmodel,DiagnosticVertAnalysisEnum);
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56 | [K_gg,K_ff,K_fs,p_g,p_f,kmax]=SystemMatrices(femmodel.elements,femmodel.nodes,femmodel.vertices,femmodel.loads,femmodel.materials,femmodel.parameters);
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57 |
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58 | [K_ff, K_fs] = Reducematrixfromgtof( K_gg, femmodel.nodesets,femmodel.parameters);
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59 | p_f = Reduceloadfromgtof( p_g, K_fs, femmodel.ys, femmodel.nodesets,femmodel.parameters);
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60 |
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61 | displaystring(femmodel.parameters.Verbose>1,'%s%g',' condition number of stiffness matrix: ',condest(K_ff));
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62 | uf_vert=Solver(K_ff,p_f,[],femmodel.parameters);
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63 |
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64 | ug_vert= Mergesolutionfromftog( uf_vert, femmodel.ys, femmodel.nodesets,femmodel.parameters);
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65 |
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66 | [femmodel.elements,femmodel.materials]=InputUpdateFromSolution(femmodel.elements,femmodel.nodes,femmodel.vertices,femmodel.loads,femmodel.materials,femmodel.parameters,ug_vert);
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67 |
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68 | %Finally sum the two velocities and check the convergence
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69 | ug=ug_horiz+ug_vert;
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70 | converged=convergence([],[],ug,old_ug,femmodel.parameters);
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71 |
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72 | end
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73 |
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74 | end
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