Escoamento Bidimensional de Fluido Incompressível em Cavidade Quadrada - Problema de Shih et al. (1989) Dados iniciais 13 = Nx: número de volumes (com fictícios) na direção x 13 = Ny: número de volumes (com fictícios) na direção y 1.000000000000000E-01 = dt: passo de tempo (parâmetro de relaxação 1.000000000000000E+00 = mi: viscosidade absoluta [Pa s] 1.000000000000000E+00 = ro: massa específica [kg/m3] 5 = Iv: número de iterações (Gauss-Seidel) para as componentes da velocidade 10 = Ip: número de iterações (Gauss-Seidel) para a pressão 20000 = It: número de iterações totais (ciclo externo) 1 = Im: número de iterações do ciclo da massa *********************************************************** Soluções analíticas (inicializações) *********************************************************** Velocidade u y\x 0.0000E+00 4.5455E-02 1.3636E-01 2.2727E-01 3.1818E-01 4.0909E-01 5.0000E-01 5.9091E-01 6.8182E-01 7.7273E-01 8.6364E-01 9.5455E-01 1.0000E+00 0.0000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 4.5455E-02 0.000000000E+00 -1.363473949E-03 -1.004518562E-02 -2.233809361E-02 -3.408684873E-02 -4.232334442E-02 -4.526671675E-02 -4.232334442E-02 -3.408684873E-02 -2.233809361E-02 -1.004518562E-02 -1.363473949E-03 0.000000000E+00 1.3636E-01 0.000000000E+00 -3.954640209E-03 -2.913520644E-02 -6.478974039E-02 -9.886600523E-02 -1.227552604E-01 -1.312922615E-01 -1.227552604E-01 -9.886600523E-02 -6.478974039E-02 -2.913520644E-02 -3.954640209E-03 0.000000000E+00 2.2727E-01 0.000000000E+00 -6.138461555E-03 -4.522417595E-02 -1.005677658E-01 -1.534615389E-01 -1.905428577E-01 -2.037941397E-01 -1.905428577E-01 -1.534615389E-01 -1.005677658E-01 -4.522417595E-02 -6.138461555E-03 0.000000000E+00 3.1818E-01 0.000000000E+00 -7.643374710E-03 -5.631139328E-02 -1.252230891E-01 -1.910843678E-01 -2.372565905E-01 -2.537565740E-01 -2.372565905E-01 -1.910843678E-01 -1.252230891E-01 -5.631139328E-02 -7.643374710E-03 0.000000000E+00 4.0909E-01 0.000000000E+00 -8.197816399E-03 -6.039615755E-02 -1.343066292E-01 -2.049454100E-01 -2.544669131E-01 -2.721637866E-01 -2.544669131E-01 -2.049454100E-01 -1.343066292E-01 -6.039615755E-02 -8.197816399E-03 0.000000000E+00 5.0000E-01 0.000000000E+00 -7.530223345E-03 -5.547776791E-02 -1.233693054E-01 -1.882555836E-01 -2.337442798E-01 -2.500000000E-01 -2.337442798E-01 -1.882555836E-01 -1.233693054E-01 -5.547776791E-02 -7.530223345E-03 0.000000000E+00 5.9091E-01 0.000000000E+00 -5.369032273E-03 -3.955552348E-02 -8.796203667E-02 -1.342258068E-01 -1.666591446E-01 -1.782494365E-01 -1.666591446E-01 -1.342258068E-01 -8.796203667E-02 -3.955552348E-02 -5.369032273E-03 0.000000000E+00 6.8182E-01 0.000000000E+00 -1.442679905E-03 -1.062872338E-02 -2.363574220E-02 -3.606699762E-02 -4.478196194E-02 -4.789631856E-02 -4.478196194E-02 -3.606699762E-02 -2.363574220E-02 -1.062872338E-02 -1.442679905E-03 0.000000000E+00 7.7273E-01 0.000000000E+00 4.520397035E-03 3.330333325E-02 7.405865890E-02 1.130099259E-01 1.403168141E-01 1.500751315E-01 1.403168141E-01 1.130099259E-01 7.405865890E-02 3.330333325E-02 4.520397035E-03 0.000000000E+00 8.6364E-01 0.000000000E+00 1.279176182E-02 9.424134729E-02 2.095702475E-01 3.197940455E-01 3.970667292E-01 4.246806912E-01 3.970667292E-01 3.197940455E-01 2.095702475E-01 9.424134729E-02 1.279176182E-02 0.000000000E+00 9.5455E-01 0.000000000E+00 2.364297773E-02 1.741860196E-01 3.873481046E-01 5.910744433E-01 7.338973292E-01 7.849361382E-01 7.338973292E-01 5.910744433E-01 3.873481046E-01 1.741860196E-01 2.364297773E-02 0.000000000E+00 1.0000E+00 0.000000000E+00 3.012089338E-02 2.219110716E-01 4.934772215E-01 7.530223345E-01 9.349771190E-01 1.000000000E+00 9.349771190E-01 7.530223345E-01 4.934772215E-01 2.219110716E-01 3.012089338E-02 0.000000000E+00 Velocidade v y\x 0.0000E+00 4.5455E-02 1.3636E-01 2.2727E-01 3.1818E-01 4.0909E-01 5.0000E-01 5.9091E-01 6.8182E-01 7.7273E-01 8.6364E-01 9.5455E-01 1.0000E+00 0.0000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 4.5455E-02 0.000000000E+00 1.301240698E-03 2.825551231E-03 3.160155982E-03 2.602481397E-03 1.449953921E-03 0.000000000E+00 -1.449953921E-03 -2.602481397E-03 -3.160155982E-03 -2.825551231E-03 -1.301240698E-03 0.000000000E+00 1.3636E-01 0.000000000E+00 1.151719252E-02 2.500876089E-02 2.797032468E-02 2.303438503E-02 1.283344309E-02 0.000000000E+00 -1.283344309E-02 -2.303438503E-02 -2.797032468E-02 -2.500876089E-02 -1.151719252E-02 0.000000000E+00 2.2727E-01 0.000000000E+00 3.091456939E-02 6.712877924E-02 7.507823994E-02 6.182913877E-02 3.444766303E-02 0.000000000E+00 -3.444766303E-02 -6.182913877E-02 -7.507823994E-02 -6.712877924E-02 -3.091456939E-02 0.000000000E+00 3.1818E-01 0.000000000E+00 5.742431777E-02 1.246928043E-01 1.394590574E-01 1.148486355E-01 6.398709695E-02 0.000000000E+00 -6.398709695E-02 -1.148486355E-01 -1.394590574E-01 -1.246928043E-01 -5.742431777E-02 0.000000000E+00 4.0909E-01 0.000000000E+00 8.794285738E-02 1.909616332E-01 2.135755108E-01 1.758857148E-01 9.799346965E-02 0.000000000E+00 -9.799346965E-02 -1.758857148E-01 -2.135755108E-01 -1.909616332E-01 -8.794285738E-02 0.000000000E+00 5.0000E-01 0.000000000E+00 1.183320811E-01 2.569496619E-01 2.873779113E-01 2.366641623E-01 1.318557476E-01 0.000000000E+00 -1.318557476E-01 -2.366641623E-01 -2.873779113E-01 -2.569496619E-01 -1.183320811E-01 0.000000000E+00 5.9091E-01 0.000000000E+00 1.434193552E-01 3.114248856E-01 3.483041484E-01 2.868387105E-01 1.598101387E-01 0.000000000E+00 -1.598101387E-01 -2.868387105E-01 -3.483041484E-01 -3.114248856E-01 -1.434193552E-01 0.000000000E+00 6.8182E-01 0.000000000E+00 1.569975190E-01 3.409088985E-01 3.812796891E-01 3.139950381E-01 1.749400926E-01 0.000000000E+00 -1.749400926E-01 -3.139950381E-01 -3.812796891E-01 -3.409088985E-01 -1.569975190E-01 0.000000000E+00 7.7273E-01 0.000000000E+00 1.518248852E-01 3.296768936E-01 3.687175783E-01 3.036497704E-01 1.691763007E-01 0.000000000E+00 -1.691763007E-01 -3.036497704E-01 -3.687175783E-01 -3.296768936E-01 -1.518248852E-01 0.000000000E+00 8.6364E-01 0.000000000E+00 1.196252396E-01 2.597576631E-01 2.905184390E-01 2.392504792E-01 1.332966956E-01 0.000000000E+00 -1.332966956E-01 -2.392504792E-01 -2.905184390E-01 -2.597576631E-01 -1.196252396E-01 0.000000000E+00 9.5455E-01 0.000000000E+00 5.108784133E-02 1.109335983E-01 1.240704718E-01 1.021756827E-01 5.692645177E-02 0.000000000E+00 -5.692645177E-02 -1.021756827E-01 -1.240704718E-01 -1.109335983E-01 -5.108784133E-02 0.000000000E+00 1.0000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 Pressão p y\x 0.0000E+00 4.5455E-02 1.3636E-01 2.2727E-01 3.1818E-01 4.0909E-01 5.0000E-01 5.9091E-01 6.8182E-01 7.7273E-01 8.6364E-01 9.5455E-01 1.0000E+00 0.0000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 4.5455E-02 0.000000000E+00 -5.688160244E-02 -1.181422311E-01 -1.153177211E-01 -5.988764249E-02 3.283325528E-02 1.449390793E-01 2.571746130E-01 3.502121509E-01 4.059757596E-01 4.090005543E-01 3.477897580E-01 2.909090909E-01 1.3636E-01 0.000000000E+00 -1.649576493E-01 -3.422201637E-01 -3.328700600E-01 -1.699951101E-01 1.022006647E-01 4.317981051E-01 7.625443955E-01 1.037544681E+00 1.203373739E+00 1.214497782E+00 1.037676638E+00 8.727272727E-01 2.2727E-01 0.000000000E+00 -2.559673609E-01 -5.294146616E-01 -5.098683415E-01 -2.480609839E-01 1.873545272E-01 7.149576040E-01 1.245659604E+00 1.688640038E+00 1.958415844E+00 1.982747211E+00 1.710490469E+00 1.454545455E+00 3.1818E-01 0.000000000E+00 -3.185304912E-01 -6.549907969E-01 -6.185546816E-01 -2.710433638E-01 3.014104105E-01 9.949154420E-01 1.694275121E+00 2.281020946E+00 2.643586673E+00 2.689062950E+00 2.354851910E+00 2.036363636E+00 4.0909E-01 0.000000000E+00 -3.412670292E-01 -6.942264005E-01 -6.312342909E-01 -2.160472667E-01 4.572573878E-01 1.271910392E+00 2.095919336E+00 2.792063208E+00 3.231307727E+00 3.308746345E+00 2.959381382E+00 2.618181818E+00 5.0000E-01 0.000000000E+00 -3.127977519E-01 -6.224420835E-01 -5.204239319E-01 -6.067031393E-02 6.670251079E-01 1.545312500E+00 2.437361213E+00 3.198650026E+00 3.693788957E+00 3.817055964E+00 3.512698519E+00 3.200000000E+00 5.9091E-01 0.000000000E+00 -2.217449621E-01 -4.150412648E-01 -2.590498618E-01 2.165363526E-01 9.413732226E-01 1.812810246E+00 2.703899718E+00 3.476711080E+00 4.002830819E+00 4.189167566E+00 4.003421431E+00 3.781818182E+00 6.8182E-01 0.000000000E+00 -5.673340995E-02 -4.756020635E-02 1.793047379E-01 6.354919247E-01 1.288603172E+00 2.069394489E+00 2.878475606E+00 3.600646385E+00 4.129576843E+00 4.400124068E+00 4.420165777E+00 4.363636364E+00 7.7273E-01 0.000000000E+00 1.936086006E-01 5.042719446E-01 8.201028469E-01 1.213894554E+00 1.713592325E+00 2.306139202E+00 2.940605563E+00 3.542634914E+00 4.044216722E+00 4.424775500E+00 4.751543665E+00 4.945454545E+00 8.6364E-01 0.000000000E+00 5.406479216E-01 1.264463107E+00 1.687507206E+00 1.966414748E+00 2.216550478E+00 2.508778999E+00 2.865138700E+00 3.271827996E+00 3.715639909E+00 4.237708962E+00 4.986162358E+00 5.527272727E+00 9.5455E-01 0.000000000E+00 9.957450856E-01 2.256678208E+00 2.803984429E+00 2.903773536E+00 2.791598709E+00 2.656083453E+00 2.620835411E+00 2.753427485E+00 3.111039732E+00 3.813168558E+00 5.112622800E+00 6.109090909E+00 1.0000E+00 0.000000000E+00 1.267363393E+00 2.847074281E+00 3.462073808E+00 3.443784939E+00 3.102264750E+00 2.700000000E+00 2.423553037E+00 2.389172425E+00 2.694406423E+00 3.503681195E+00 5.131729339E+00 6.400000000E+00 *********************************************************** Soluções numéricas *********************************************************** Velocidade u y\x 0.0000E+00 4.5455E-02 1.3636E-01 2.2727E-01 3.1818E-01 4.0909E-01 5.0000E-01 5.9091E-01 6.8182E-01 7.7273E-01 8.6364E-01 9.5455E-01 1.0000E+00 0.0000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 0.000000000E+00 4.5455E-02 0.000000000E+00 -1.822325323E-03 -1.123002650E-02 -2.435773277E-02 -3.660991671E-02 -4.498410074E-02 -4.796182270E-02 -4.506009933E-02 -3.672505208E-02 -2.445894119E-02 -1.128277257E-02 -1.835054421E-03 0.000000000E+00 1.3636E-01 0.000000000E+00 -4.770066579E-03 -3.131146470E-02 -6.856929670E-02 -1.036331430E-01 -1.277866424E-01 -1.363747266E-01 -1.278932575E-01 -1.037968646E-01 -6.871866934E-02 -3.139788985E-02 -4.799474297E-03 0.000000000E+00 2.2727E-01 0.000000000E+00 -7.105124255E-03 -4.756927179E-02 -1.045902202E-01 -1.584291322E-01 -1.956125887E-01 -2.088308518E-01 -1.956933529E-01 -1.585560187E-01 -1.047133425E-01 -4.765406417E-02 -7.151744404E-03 0.000000000E+00 3.1818E-01 0.000000000E+00 -8.679030231E-03 -5.825392913E-02 -1.283211766E-01 -1.946294353E-01 -2.404971790E-01 -2.568018190E-01 -2.405160146E-01 -1.946648457E-01 -1.283715641E-01 -5.831938829E-02 -8.748997668E-03 0.000000000E+00 4.0909E-01 0.000000000E+00 -9.220834495E-03 -6.144606285E-02 -1.355192769E-01 -2.057962297E-01 -2.544844003E-01 -2.717910963E-01 -2.544037450E-01 -2.056827562E-01 -1.354474061E-01 -6.147271663E-02 -9.317708071E-03 0.000000000E+00 5.0000E-01 0.000000000E+00 -8.452641586E-03 -5.524071578E-02 -1.219948838E-01 -1.855750342E-01 -2.297153552E-01 -2.454010741E-01 -2.295020375E-01 -1.852616746E-01 -1.217561680E-01 -5.521046905E-02 -8.577921706E-03 0.000000000E+00 5.9091E-01 0.000000000E+00 -6.126970348E-03 -3.784889340E-02 -8.374469074E-02 -1.278207511E-01 -1.585330214E-01 -1.694300111E-01 -1.581761582E-01 -1.272919705E-01 -8.332826232E-02 -3.776289973E-02 -6.287088578E-03 0.000000000E+00 6.8182E-01 0.000000000E+00 -2.042139557E-03 -7.652368846E-03 -1.703808683E-02 -2.670253028E-02 -3.359691554E-02 -3.599008932E-02 -3.312965163E-02 -2.601405666E-02 -1.650417102E-02 -7.557980665E-03 -2.262430533E-03 0.000000000E+00 7.7273E-01 0.000000000E+00 3.926044320E-03 3.679700739E-02 8.160096421E-02 1.232616996E-01 1.520052910E-01 1.623430867E-01 1.524844725E-01 1.239477679E-01 8.208222877E-02 3.677079618E-02 3.572374307E-03 0.000000000E+00 8.6364E-01 0.000000000E+00 1.168226555E-02 9.668730187E-02 2.154019791E-01 3.272926607E-01 4.048955381E-01 4.326793529E-01 4.052240230E-01 3.277148068E-01 2.155649125E-01 9.634099457E-02 1.105892462E-02 0.000000000E+00 9.5455E-01 0.000000000E+00 2.170873154E-02 1.734246341E-01 3.872219294E-01 5.901112536E-01 7.314465314E-01 7.820116121E-01 7.315404112E-01 5.901724009E-01 3.870540392E-01 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