HREGION Version 4: Solve the Navier Stokes fluid flow equations in an H-shaped region, using finite elements. Modifications: 21 May 2004: IMPLICIT NONE everywhere; Corrections to UBDRY. Correction to HCELL_DOF_SET. 20 May 2004: added TECPLOT output. 18 May 2004: correction to HCELL_DOF_SET. The X direction is divided into three regions, with element densities: 45 15 45 Corresponding NX = 106 The Y direction is divided into three regions, with element densities: 5 1 5 Corresponding NY = 12 The X subregions are demarked by 4 values: 0.0000 45.0000 60.0000 105.0000 The Y subregions are demarked by 4 values: 0.0000 5.0000 6.0000 11.0000 Maximum number of nodes = 4853 Maximum number of elements = 2310 Maximum number of unknowns = 10978 Maximum matrix dimension 1 = 324 HCELL_NODE_COUNT: Number of nodes = 4673 HCELL_ELEMENT_COUNT: Number of elements = 2130 ELEMENT_NODE_BANDWIDTH: Lower half bandwidth = 100 Upper half bandwidth = 100 Total bandwidth = 201 Number of nodes = 4673 Number of elements = 2130 Number of unknowns = 8981 XY6_WRITE: The 6-node triangle nodal coordinates were written to the output file: xy6.txt XY3_WRITE: The 3-node triangle nodal coordinates were written to the output file: xy3.txt ELEMENT_NODE_WRITE: The 3-node triangle nodal coordinates were written to the output file: element_node.txt UV_READ: Read the file containing the initial solution values: uv000.txt delta t = 2.000000000000000E-004 Time step 1 Iteration 1 Difference is 10.3156227928706 Iteration 2 Difference is 3.156274655783149E-004 Iteration 3 Difference is 2.254201125775319E-008 Time step 2 Iteration 1 Difference is 7.430805344720829E-003 Iteration 2 Difference is 4.802344004525665E-007 Time step 3 Iteration 1 Difference is 7.376633835210970E-003 Iteration 2 Difference is 4.763435174015407E-007 Time step 4 Iteration 1 Difference is 7.323170246037620E-003 Iteration 2 Difference is 4.725119109816414E-007 Time step 5 Iteration 1 Difference is 7.270404377906253E-003 Iteration 2 Difference is 4.687385926066116E-007 Time step 6 Iteration 1 Difference is 7.218326178155426E-003 Iteration 2 Difference is 4.650212377470484E-007 Time step 7 Iteration 1 Difference is 7.166925737152946E-003 Iteration 2 Difference is 4.613594779377211E-007 Time step 8 Iteration 1 Difference is 7.116193286778231E-003 Iteration 2 Difference is 4.577524087998518E-007 Time step 9 Iteration 1 Difference is 7.066119197926506E-003 Iteration 2 Difference is 4.541987108939500E-007 Time step 10 Iteration 1 Difference is 7.016693979482360E-003 Iteration 2 Difference is 4.506972923365786E-007 Time step 11 Iteration 1 Difference is 6.967908276008328E-003 Iteration 2 Difference is 4.472469882777303E-007 Time step 12 Iteration 1 Difference is 6.919752863204251E-003 Iteration 2 Difference is 4.438467479296588E-007 Time step 13 Iteration 1 Difference is 6.872218652661425E-003 Iteration 2 Difference is 4.404962489912327E-007 Time step 14 Iteration 1 Difference is 6.825296681524949E-003 Iteration 2 Difference is 4.371939240259747E-007 Time step 15 Iteration 1 Difference is 6.778978117513614E-003 Iteration 2 Difference is 4.339388174984289E-007 Time step 16 Iteration 1 Difference is 6.733254252851002E-003 Iteration 2 Difference is 4.307305840887281E-007 Time step 17 Iteration 1 Difference is 6.688116503925342E-003 Iteration 2 Difference is 4.275673022446484E-007 Time step 18 Iteration 1 Difference is 6.643556411528641E-003 Iteration 2 Difference is 4.244486324259460E-007 Time step 19 Iteration 1 Difference is 6.599565634586064E-003 Iteration 2 Difference is 4.213741224762022E-007 Time step 20 Iteration 1 Difference is 6.556135954061681E-003 Iteration 2 Difference is 4.183424523037572E-007 Time step 21 Iteration 1 Difference is 6.513259264956302E-003 Iteration 2 Difference is 4.153527773832017E-007 Time step 22 Iteration 1 Difference is 6.470927581047567E-003 Iteration 2 Difference is 4.124042148097144E-007 Time step 23 Iteration 1 Difference is 6.429133028234262E-003 Iteration 2 Difference is 4.094962829658790E-007 Time step 24 Iteration 1 Difference is 6.387867846327651E-003 Iteration 2 Difference is 4.066282535424588E-007 Time step 25 Iteration 1 Difference is 6.347124384477054E-003 Iteration 2 Difference is 4.037989863209726E-007 Time step 26 Iteration 1 Difference is 6.306895103042202E-003 Iteration 2 Difference is 4.010077723590925E-007 Time step 27 Iteration 1 Difference is 6.267172568655592E-003 Iteration 2 Difference is 3.982542653501041E-007 Time step 28 Iteration 1 Difference is 6.227949454694907E-003 Iteration 2 Difference is 3.955366862901533E-007 Time step 29 Iteration 1 Difference is 6.189218541741607E-003 Iteration 2 Difference is 3.928565767652048E-007 Time step 30 Iteration 1 Difference is 6.150972709389067E-003 Iteration 2 Difference is 3.902111395154296E-007 Time step 31 Iteration 1 Difference is 6.113204943294247E-003 Iteration 2 Difference is 3.875997249618941E-007 Time step 32 Iteration 1 Difference is 6.075908326608584E-003 Iteration 2 Difference is 3.850228552287089E-007 Time step 33 Iteration 1 Difference is 6.039076044986331E-003 Iteration 2 Difference is 3.824796476242494E-007 Time step 34 Iteration 1 Difference is 6.002701378553915E-003 Iteration 2 Difference is 3.799681073368485E-007 Time step 35 Iteration 1 Difference is 5.966777705528665E-003 Iteration 2 Difference is 3.774898034886244E-007 Time step 36 Iteration 1 Difference is 5.931298501684827E-003 Iteration 2 Difference is 3.750431679782029E-007 Time step 37 Iteration 1 Difference is 5.896257330225586E-003 Iteration 2 Difference is 3.726265741244609E-007 Time step 38 Iteration 1 Difference is 5.861647853642456E-003 Iteration 2 Difference is 3.702411148284696E-007 Time step 39 Iteration 1 Difference is 5.827463820999731E-003 Iteration 2 Difference is 3.678844393905545E-007 Time step 40 Iteration 1 Difference is 5.793699074344833E-003 Iteration 2 Difference is 3.655579642369848E-007 Time step 41 Iteration 1 Difference is 5.760347543125811E-003 Iteration 2 Difference is 3.632597351063072E-007 Time step 42 Iteration 1 Difference is 5.727403244623712E-003 Iteration 2 Difference is 3.609897186831753E-007 Time step 43 Iteration 1 Difference is 5.694860281345842E-003 Iteration 2 Difference is 3.587471029067897E-007 Time step 44 Iteration 1 Difference is 5.662712843718081E-003 Iteration 2 Difference is 3.565315806099966E-007 Time step 45 Iteration 1 Difference is 5.630955203607412E-003 Iteration 2 Difference is 3.543433117022702E-007 Time step 46 Iteration 1 Difference is 5.599581716787610E-003 Iteration 2 Difference is 3.521801809035785E-007 Time step 47 Iteration 1 Difference is 5.568586820170056E-003 Iteration 2 Difference is 3.500438684383743E-007 Time step 48 Iteration 1 Difference is 5.537965033054942E-003 Iteration 2 Difference is 3.479327327455455E-007 Time step 49 Iteration 1 Difference is 5.507710951358030E-003 Iteration 2 Difference is 3.458455301282476E-007 Time step 50 Iteration 1 Difference is 5.477819250278752E-003 Iteration 2 Difference is 3.437828173224803E-007 Time step 51 Iteration 1 Difference is 5.448284685107713E-003 Iteration 2 Difference is 3.417445948294123E-007 Time step 52 Iteration 1 Difference is 5.419102083897044E-003 Iteration 2 Difference is 3.397289749397087E-007 Time step 53 Iteration 1 Difference is 5.390266350328472E-003 Iteration 2 Difference is 3.377362101616935E-007 Time step 54 Iteration 1 Difference is 5.361772465066684E-003 Iteration 2 Difference is 3.357665019307253E-007 Time step 55 Iteration 1 Difference is 5.333615479555491E-003 Iteration 2 Difference is 3.338195814089945E-007 Time step 56 Iteration 1 Difference is 5.305790517836840E-003 Iteration 2 Difference is 3.318942408924255E-007 Time step 57 Iteration 1 Difference is 5.278292774094502E-003 Iteration 2 Difference is 3.299893564208816E-007 Time step 58 Iteration 1 Difference is 5.251117515584182E-003 Iteration 2 Difference is 3.281062470769581E-007 Time step 59 Iteration 1 Difference is 5.224260075995652E-003 Iteration 2 Difference is 3.262443775663724E-007 Time step 60 Iteration 1 Difference is 5.197715858944744E-003 Iteration 2 Difference is 3.244021709798121E-007 Time step 61 Iteration 1 Difference is 5.171480334170984E-003 Iteration 2 Difference is 3.225795129086327E-007 Time step 62 Iteration 1 Difference is 5.145549038779624E-003 Iteration 2 Difference is 3.207774581867795E-007 Time step 63 Iteration 1 Difference is 5.119917575087370E-003 Iteration 2 Difference is 3.189939603942307E-007 Time step 64 Iteration 1 Difference is 5.094581610602982E-003 Iteration 2 Difference is 3.172300718075987E-007 Time step 65 Iteration 1 Difference is 5.069536875390436E-003 Iteration 2 Difference is 3.154843071159927E-007 Time step 66 Iteration 1 Difference is 5.044779162697933E-003 Iteration 2 Difference is 3.137570950266140E-007 Time step 67 Iteration 1 Difference is 5.020304328503526E-003 Iteration 2 Difference is 3.120476897943461E-007 Time step 68 Iteration 1 Difference is 4.996108289079727E-003 Iteration 2 Difference is 3.103560453969952E-007 Time step 69 Iteration 1 Difference is 4.972187021512152E-003 Iteration 2 Difference is 3.086820106779232E-007 Time step 70 Iteration 1 Difference is 4.948536562102592E-003 Iteration 2 Difference is 3.070248980789059E-007 Time step 71 Iteration 1 Difference is 4.925153005255531E-003 Iteration 2 Difference is 3.053845383104839E-007 Time step 72 Iteration 1 Difference is 4.902032504234322E-003 Iteration 2 Difference is 3.037607415247229E-007 Time step 73 Iteration 1 Difference is 4.879171268671319E-003 Iteration 2 Difference is 3.021531822792570E-007 Time step 74 Iteration 1 Difference is 4.856565564722793E-003 Iteration 2 Difference is 3.005623263013115E-007 Time step 75 Iteration 1 Difference is 4.834211712420572E-003 Iteration 2 Difference is 2.989863897980179E-007 Time step 76 Iteration 1 Difference is 4.812106089074078E-003 Iteration 2 Difference is 2.974257836830034E-007 Time step 77 Iteration 1 Difference is 4.790245123818475E-003 Iteration 2 Difference is 2.958813820008006E-007 Time step 78 Iteration 1 Difference is 4.768625300628836E-003 Iteration 2 Difference is 2.943516372187212E-007 Time step 79 Iteration 1 Difference is 4.747243153782678E-003 Iteration 2 Difference is 2.928360450521895E-007 Time step 80 Iteration 1 Difference is 4.726095270990529E-003 Iteration 2 Difference is 2.913358734165452E-007 Time step 81 Iteration 1 Difference is 4.705178289834416E-003 Iteration 2 Difference is 2.898493646594534E-007 Time step 82 Iteration 1 Difference is 4.684488897918157E-003 Iteration 2 Difference is 2.883770347348823E-007 Time step 83 Iteration 1 Difference is 4.664023834826724E-003 Iteration 2 Difference is 2.869186654495213E-007 Time step 84 Iteration 1 Difference is 4.643779885566434E-003 Iteration 2 Difference is 2.854740898499792E-007 Time step 85 Iteration 1 Difference is 4.623753884527824E-003 Iteration 2 Difference is 2.840425919055483E-007 Time step 86 Iteration 1 Difference is 4.603942715229547E-003 Iteration 2 Difference is 2.826246830865821E-007 Time step 87 Iteration 1 Difference is 4.584343304635895E-003 Iteration 2 Difference is 2.812195564274575E-007 Time step 88 Iteration 1 Difference is 4.564952629569773E-003 Iteration 2 Difference is 2.798270111692210E-007 Time step 89 Iteration 1 Difference is 4.545767708472569E-003 Iteration 2 Difference is 2.784473516561931E-007 Time step 90 Iteration 1 Difference is 4.526785608721137E-003 Iteration 2 Difference is 2.770801371568555E-007 Time step 91 Iteration 1 Difference is 4.508003437626296E-003 Iteration 2 Difference is 2.757249990887523E-007 Time step 92 Iteration 1 Difference is 4.489418349677136E-003 Iteration 2 Difference is 2.743821774104907E-007 Time step 93 Iteration 1 Difference is 4.471027539907584E-003 Iteration 2 Difference is 2.730511464507026E-007 Time step 94 Iteration 1 Difference is 4.452828246199582E-003 Iteration 2 Difference is 2.717312740102644E-007 Time step 95 Iteration 1 Difference is 4.434817748787382E-003 Iteration 2 Difference is 2.704238284671804E-007 Time step 96 Iteration 1 Difference is 4.416993368835863E-003 Iteration 2 Difference is 2.691269021834365E-007 Time step 97 Iteration 1 Difference is 4.399352467148818E-003 Iteration 2 Difference is 2.678417170148411E-007 Time step 98 Iteration 1 Difference is 4.381892445243368E-003 Iteration 2 Difference is 2.665673419214950E-007 Time step 99 Iteration 1 Difference is 4.364610744030269E-003 Iteration 2 Difference is 2.653035503083698E-007 Time step 100 Iteration 1 Difference is 4.347504842045308E-003 Iteration 2 Difference is 2.640509426856564E-007 UV_WRITE: Wrote the output file: uv100.txt P_WRITE: Wrote the pressure output file: p100.txt UV_WRITE_TEC: Wrote the output file: uv100.tec final values: node, x,y,u,v 1 0.00000 0.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 2 0.00000 0.50000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 3 0.00000 1.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 4 0.00000 1.50000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 5 0.00000 2.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 6 0.00000 2.50000 0.11000E+00 0.00000E+00 final values: node, x,y,u,v 7 0.00000 3.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 8 0.00000 3.50000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 9 0.00000 4.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 10 0.00000 4.50000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 11 0.00000 5.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 12 0.00000 6.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 13 0.00000 6.50000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 14 0.00000 7.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 15 0.00000 7.50000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 16 0.00000 8.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 17 0.00000 8.50000 0.12000E+00 0.00000E+00 final values: node, x,y,u,v 18 0.00000 9.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 19 0.00000 9.50000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 20 0.00000 10.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 21 0.00000 10.50000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 22 0.00000 11.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 23 0.50000 0.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 24 0.50000 0.50000 0.99046E-02-0.99046E-02 final values: node, x,y,u,v 25 0.50000 1.00000 0.19774E-01-0.62720E-01 final values: node, x,y,u,v 26 0.50000 1.50000 0.55184E-01-0.88467E-01 final values: node, x,y,u,v 27 0.50000 2.00000 0.95473E-01-0.71481E-01 final values: node, x,y,u,v 28 0.50000 2.50000 0.17811E+00-0.32976E-01 final values: node, x,y,u,v 29 0.50000 3.00000 0.17695E+00 0.10233E+00 final values: node, x,y,u,v 30 0.50000 3.50000 0.92109E-01 0.11890E+00 final values: node, x,y,u,v 31 0.50000 4.00000 0.89810E-02 0.30001E-01 final values: node, x,y,u,v 32 0.50000 4.50000 0.65554E-02 0.13184E-01 final values: node, x,y,u,v 33 0.50000 5.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 34 0.50000 6.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 35 0.50000 6.50000 0.10734E-01-0.10734E-01 final values: node, x,y,u,v 36 0.50000 7.00000 0.21504E-01-0.68205E-01 final values: node, x,y,u,v 37 0.50000 7.50000 0.60131E-01-0.96139E-01 final values: node, x,y,u,v 38 0.50000 8.00000 0.10414E+00-0.77565E-01 final values: node, x,y,u,v 39 0.50000 8.50000 0.19435E+00-0.35556E-01 final values: node, x,y,u,v 40 0.50000 9.00000 0.19303E+00 0.11199E+00 final values: node, x,y,u,v 41 0.50000 9.50000 0.10057E+00 0.13006E+00 final values: node, x,y,u,v 42 0.50000 10.00000 0.98606E-02 0.32944E-01 final values: node, x,y,u,v 43 0.50000 10.50000 0.72173E-02 0.14460E-01 final values: node, x,y,u,v 44 0.50000 11.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 45 1.00000 0.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 46 1.00000 0.50000 0.36646E-01-0.36518E-02 final values: node, x,y,u,v 47 1.00000 1.00000 0.49462E-01-0.47183E-01 final values: node, x,y,u,v 48 1.00000 1.50000 0.79027E-01-0.60434E-01 final values: node, x,y,u,v 49 1.00000 2.00000 0.11925E+00-0.46932E-01 final values: node, x,y,u,v 50 1.00000 2.50000 0.15019E+00 0.25512E-02 final values: node, x,y,u,v 51 1.00000 3.00000 0.14320E+00 0.58847E-01 final values: node, x,y,u,v 52 1.00000 3.50000 0.61421E-01 0.47453E-01 final values: node, x,y,u,v 53 1.00000 4.00000 0.40213E-01 0.31609E-01 final values: node, x,y,u,v 54 1.00000 4.50000 0.36630E-01 0.17908E-01 final values: node, x,y,u,v 55 1.00000 5.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 56 1.00000 6.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 57 1.00000 6.50000 0.39737E-01-0.39012E-02 final values: node, x,y,u,v 58 1.00000 7.00000 0.53718E-01-0.51223E-01 final values: node, x,y,u,v 59 1.00000 7.50000 0.86008E-01-0.65533E-01 final values: node, x,y,u,v 60 1.00000 8.00000 0.13001E+00-0.50679E-01 final values: node, x,y,u,v 61 1.00000 8.50000 0.16384E+00 0.33219E-02 final values: node, x,y,u,v 62 1.00000 9.00000 0.15629E+00 0.64705E-01 final values: node, x,y,u,v 63 1.00000 9.50000 0.67139E-01 0.52173E-01 final values: node, x,y,u,v 64 1.00000 10.00000 0.44086E-01 0.34764E-01 final values: node, x,y,u,v 65 1.00000 10.50000 0.40187E-01 0.19637E-01 final values: node, x,y,u,v 66 1.00000 11.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 67 1.50000 0.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 68 1.50000 0.50000 0.55872E-01-0.26846E-02 final values: node, x,y,u,v 69 1.50000 1.00000 0.62150E-01-0.30031E-01 final values: node, x,y,u,v 70 1.50000 1.50000 0.83431E-01-0.36103E-01 final values: node, x,y,u,v 71 1.50000 2.00000 0.10472E+00-0.95826E-02 final values: node, x,y,u,v 72 1.50000 2.50000 0.10632E+00 0.34132E-02 final values: node, x,y,u,v 73 1.50000 3.00000 0.10267E+00 0.22331E-01 final values: node, x,y,u,v 74 1.50000 3.50000 0.83601E-01 0.25929E-01 final values: node, x,y,u,v 75 1.50000 4.00000 0.69033E-01 0.16182E-01 final values: node, x,y,u,v 76 1.50000 4.50000 0.56861E-01 0.10564E-01 final values: node, x,y,u,v 77 1.50000 5.00000 0.00000E+00 0.00000E+00 final values: node, x,y,u,v 78 1.50000 6.00000 0.00000E+00 0.00000E+00 final 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