Escoamento Bidimensional de Fluido Incompressível em Cavidade Quadrada - Equações de Burgers Dados iniciais 13 = Nx: número de volumes (com fictícios) na direção x 13 = Ny: número de volumes (com fictícios) na direção y 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 10000 = It: número de iterações totais (ciclo externo) *********************************************************** Soluções analíticas *********************************************************** 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 -1.380036344E-03 -9.658312217E-03 -2.159978188E-02 -3.312325674E-02 -4.129927077E-02 -4.433723336E-02 -4.159478124E-02 -3.360395459E-02 -2.209751560E-02 -1.001878341E-02 -1.509730405E-03 0.000000000E+00 1.3636E-01 0.000000000E+00 -3.992007261E-03 -2.796793007E-02 -6.256940461E-02 -9.598309575E-02 -1.197255582E-01 -1.285947804E-01 -1.207021241E-01 -9.756378765E-02 -6.419263983E-02 -2.913148931E-02 -4.407392809E-03 0.000000000E+00 2.2727E-01 0.000000000E+00 -6.167531874E-03 -4.328437851E-02 -9.689839921E-02 -1.487382214E-01 -1.856708489E-01 -1.995985817E-01 -1.875212118E-01 -1.517187347E-01 -9.993444401E-02 -4.543882758E-02 -6.930767462E-03 0.000000000E+00 3.1818E-01 0.000000000E+00 -7.625576402E-03 -5.364460654E-02 -1.202127888E-01 -1.847085933E-01 -2.308474620E-01 -2.485027095E-01 -2.338071142E-01 -1.894574844E-01 -1.250190661E-01 -5.702794477E-02 -8.816787687E-03 0.000000000E+00 4.0909E-01 0.000000000E+00 -8.088052547E-03 -5.709314568E-02 -1.281474000E-01 -1.972193059E-01 -2.469641142E-01 -2.664456476E-01 -2.512877103E-01 -2.041344973E-01 -1.351090274E-01 -6.196140511E-02 -9.793376827E-03 0.000000000E+00 5.0000E-01 0.000000000E+00 -7.277286129E-03 -5.167285373E-02 -1.163289444E-01 -1.795802217E-01 -2.257096022E-01 -2.445434225E-01 -2.316657268E-01 -1.890752040E-01 -1.258355440E-01 -5.827555982E-02 -9.577988012E-03 0.000000000E+00 5.9091E-01 0.000000000E+00 -4.918346340E-03 -3.542959235E-02 -8.038022178E-02 -1.250880779E-01 -1.587514316E-01 -1.738828904E-01 -1.666048649E-01 -1.375546957E-01 -9.277302406E-02 -4.395868566E-02 -7.869001768E-03 0.000000000E+00 6.8182E-01 0.000000000E+00 -7.503652537E-04 -6.442624800E-03 -1.596619893E-02 -2.707575105E-02 -3.776725142E-02 -4.551700208E-02 -4.768429041E-02 -4.272336710E-02 -3.135878512E-02 -1.689031099E-02 -4.324216256E-03 0.000000000E+00 7.7273E-01 0.000000000E+00 5.447317310E-03 3.710466405E-02 8.108162606E-02 1.209411802E-01 1.454525683E-01 1.495333528E-01 1.337104313E-01 1.025725408E-01 6.329145632E-02 2.528903101E-02 1.479699475E-03 0.000000000E+00 8.6364E-01 0.000000000E+00 1.380373978E-02 9.680934882E-02 2.145024321E-01 3.249194356E-01 3.987504756E-01 4.202607426E-01 3.866244725E-01 3.061757864E-01 1.967603380E-01 8.542650390E-02 1.010091194E-02 0.000000000E+00 9.5455E-01 0.000000000E+00 2.423762852E-02 1.739565268E-01 3.871062107E-01 5.895310758E-01 7.290220764E-01 7.756159524E-01 7.210349749E-01 5.774049403E-01 3.760512855E-01 1.673067551E-01 2.221489115E-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 2.679517664E-04 -6.353205345E-05 1.112979465E-04 1.016434205E-03 2.489953209E-03 4.214016826E-03 5.809521754E-03 6.891492202E-03 7.105204081E-03 6.113940196E-03 3.356109697E-03 0.000000000E+00 1.3636E-01 0.000000000E+00 1.324384201E-02 2.622404021E-02 2.937665614E-02 2.552724688E-02 1.705681234E-02 6.132401350E-03 -5.166242020E-03 -1.476046577E-02 -2.049349145E-02 -2.004190655E-02 -1.077373797E-02 0.000000000E+00 2.2727E-01 0.000000000E+00 3.599606083E-02 7.225421406E-02 8.057274733E-02 6.814330265E-02 4.181748502E-02 8.273956856E-03 -2.587942675E-02 -5.401962638E-02 -6.940478705E-02 -6.503612637E-02 -3.346915224E-02 0.000000000E+00 3.1818E-01 0.000000000E+00 6.648601073E-02 1.337412805E-01 1.487983864E-01 1.247066690E-01 7.431180332E-02 1.037246607E-02 -5.438429298E-02 -1.072021520E-01 -1.351932259E-01 -1.251931027E-01 -6.361226776E-02 0.000000000E+00 4.0909E-01 0.000000000E+00 1.012483598E-01 2.036726986E-01 2.261822607E-01 1.885549081E-01 1.105049656E-01 1.176101955E-02 -8.793282688E-02 -1.687971965E-01 -2.109375828E-01 -1.942129439E-01 -9.812269879E-02 0.000000000E+00 5.0000E-01 0.000000000E+00 1.355683193E-01 2.725430891E-01 3.021031572E-01 2.507330044E-01 1.449960233E-01 1.157249889E-02 -1.227926864E-01 -2.313213220E-01 -2.871676156E-01 -2.633259997E-01 -1.325494391E-01 0.000000000E+00 5.9091E-01 0.000000000E+00 1.635996197E-01 3.286335760E-01 3.635671464E-01 3.004247584E-01 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-6.221837503E-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 Termo-fonte B(x) de Shih 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 2.307551593E+00 5.139645874E+00 5.433326626E+00 3.723578674E+00 6.282335203E-01 -3.178112724E+00 -6.990103528E+00 -1.009918306E+01 -1.182325918E+01 -1.153792334E+01 -8.707592678E+00 0.000000000E+00 1.3636E-01 0.000000000E+00 6.435016443E-01 3.461715704E+00 3.976402056E+00 2.666543735E+00 8.665329469E-02 -3.153380315E+00 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