Solução Numérica de Difusão de Calor 2D em regime permanente, em meio com prop. constantes, utilizando malha não-ortogonal Problema resolvido: 2 - Poisson senoidal Solução analítica: T(x,y) = sin(pi*x/2)*sin(pi*y/2) Malha utilizada gerada por segmentos de reta A01.txt = nome_entrada: nome do arquivo com dados sobre a malha empregada 2 = N1: Número de volumes (reais) na direção ksi 2 = N2: Número de volumes (reais) na direção eta 4 = Nt: Número total de volumes (reais) 10000 = itsolver: Número de iterações internas do solver 1000 = itmax: Número máximo de iterações externas Métricas de malha de todos os volumes (inclusive fictícios) - derivadas (i) x_ksi_e(i) y_ksi_e(i) x_ksi_n(i) y_ksi_n(i) x_eta_e(i) y_eta_e(i) x_eta_n(i) y_eta_n(i) 1 0.0000E+00 0.0000E+00 5.0000E-01 0.0000E+00 2.5000E-01 2.5000E-01 0.0000E+00 0.0000E+00 2 0.0000E+00 0.0000E+00 5.0000E-01 0.0000E+00 1.2500E-01 2.5000E-01 1.8750E-01 2.5000E-01 3 0.0000E+00 0.0000E+00 5.0000E-01 0.0000E+00 0.0000E+00 2.5000E-01 6.2500E-02 2.5000E-01 4 0.0000E+00 0.0000E+00 5.0000E-01 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.2500E-01 5 4.3750E-01 0.0000E+00 3.7500E-01 0.0000E+00 2.5000E-01 2.5000E-01 0.0000E+00 0.0000E+00 6 4.3750E-01 0.0000E+00 3.7500E-01 0.0000E+00 1.2500E-01 2.5000E-01 1.8750E-01 2.5000E-01 7 4.3750E-01 0.0000E+00 3.7500E-01 0.0000E+00 0.0000E+00 2.5000E-01 6.2500E-02 2.5000E-01 8 0.0000E+00 0.0000E+00 3.7500E-01 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.2500E-01 9 3.1250E-01 0.0000E+00 2.5000E-01 0.0000E+00 2.5000E-01 2.5000E-01 0.0000E+00 0.0000E+00 10 3.1250E-01 0.0000E+00 2.5000E-01 0.0000E+00 1.2500E-01 2.5000E-01 1.8750E-01 2.5000E-01 11 3.1250E-01 0.0000E+00 2.5000E-01 0.0000E+00 0.0000E+00 2.5000E-01 6.2500E-02 2.5000E-01 12 0.0000E+00 0.0000E+00 2.5000E-01 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.2500E-01 13 1.2500E-01 0.0000E+00 0.0000E+00 0.0000E+00 2.5000E-01 2.5000E-01 0.0000E+00 0.0000E+00 14 1.2500E-01 0.0000E+00 0.0000E+00 0.0000E+00 1.2500E-01 2.5000E-01 0.0000E+00 0.0000E+00 15 1.2500E-01 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 2.5000E-01 0.0000E+00 0.0000E+00 16 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 Métricas de malha de todos os volumes (inclusive fictícios) - componentes do tensor métrico e jacobianos (i) alpha(i) gama(i) beta_e(i) beta_n(i) Jp(i) Je(i) Jn(i) 1 0.0000E+00 2.5000E-01 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 2 0.0000E+00 2.5000E-01 0.0000E+00 9.3750E-02 0.0000E+00 0.0000E+00 9.1429E+00 3 0.0000E+00 2.5000E-01 0.0000E+00 3.1250E-02 0.0000E+00 0.0000E+00 9.1429E+00 4 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 5 1.2500E-01 0.0000E+00 1.0938E-01 0.0000E+00 0.0000E+00 9.1429E+00 0.0000E+00 6 7.8125E-02 1.4063E-01 5.4688E-02 7.0313E-02 9.1429E+00 9.1429E+00 1.0971E+01 7 6.2500E-02 1.4063E-01 0.0000E+00 2.3438E-02 9.1429E+00 9.1429E+00 1.0971E+01 8 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 9 1.2500E-01 0.0000E+00 7.8125E-02 0.0000E+00 0.0000E+00 1.2800E+01 0.0000E+00 10 7.8125E-02 6.2500E-02 3.9063E-02 4.6875E-02 1.2800E+01 1.2800E+01 1.2800E+01 11 6.2500E-02 6.2500E-02 0.0000E+00 1.5625E-02 1.2800E+01 1.2800E+01 1.2800E+01 12 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 13 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 14 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 15 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 16 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 Coeficientes e termos-fontes de todos os volumes (inclusive fictícios) (i) ap(i) ae(i) aw(i) an(i) as(i) ane(i) anw(i) ase(i) asw(i) bp(i) 1 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 2 1.0000E+00 0.0000E+00 0.0000E+00 -1.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 3 1.0000E+00 0.0000E+00 0.0000E+00 -1.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 4 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 5 1.0000E+00 -1.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 3.9018E-01 6 5.6857E+00 7.3571E-01 1.1214E+00 1.6679E+00 2.1607E+00 -3.1786E-01 4.4286E-01 3.3929E-01 -4.6429E-01 5.0983E-02 7 5.1143E+00 5.7857E-01 7.0714E-01 1.6679E+00 2.1607E+00 -6.4286E-02 1.8929E-01 7.1429E-02 -1.9643E-01 9.4400E-02 8 1.0000E+00 0.0000E+00 -1.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 3.9018E-01 9 1.0000E+00 -1.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.1111E+00 10 4.9429E+00 1.0429E+00 1.5571E+00 9.2500E-01 1.4179E+00 -2.7500E-01 4.0000E-01 3.1786E-01 -4.4286E-01 1.5419E-01 11 4.1429E+00 8.1429E-01 9.8571E-01 9.2500E-01 1.4179E+00 -5.0000E-02 1.7500E-01 6.4286E-02 -1.8929E-01 2.0351E-01 12 1.0000E+00 0.0000E+00 -1.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.1111E+00 13 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 14 1.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 -1.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.3066E+00 15 1.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 -1.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.3066E+00 16 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 Campo de temperaturas (volumes reais) X [m] Y[m] Temp. numérica [°C] Temp. analítica [°C] 0.000000000000000E+00 0.000000000000000E+00 0.000000000000000E+00 0.000000000000000E+00 5.000000000000000E-01 0.000000000000000E+00 0.000000000000000E+00 0.000000000000000E+00 1.500000000000000E+00 0.000000000000000E+00 0.000000000000000E+00 0.000000000000000E+00 1.000000000000000E+00 0.000000000000000E+00 0.000000000000000E+00 0.000000000000000E+00 1.250000000000000E-01 1.250000000000000E-01 3.806023374435662E-02 3.806023374435662E-02 3.392857142857143E-01 1.190476190476190E-01 1.651554878319612E-01 9.445710399463494E-02 7.797619047619047E-01 1.190476190476190E-01 1.818240817944614E-01 1.748970909606672E-01 1.000000000000000E+00 1.250000000000000E-01 1.950903220161283E-01 1.950903220161283E-01 3.750000000000000E-01 3.750000000000000E-01 3.086582838174551E-01 3.086582838174551E-01 5.250000000000000E-01 3.666666666666667E-01 4.901079171623620E-01 3.999407029288649E-01 8.416666666666667E-01 3.666666666666667E-01 5.410937295192249E-01 5.278809873694236E-01 1.000000000000000E+00 3.750000000000000E-01 5.555702330196022E-01 5.555702330196022E-01 5.000000000000000E-01 5.000000000000000E-01 4.999999999999999E-01 4.999999999999999E-01 7.500000000000000E-01 5.000000000000000E-01 6.532814824381882E-01 6.532814824381882E-01 1.250000000000000E+00 5.000000000000000E-01 6.532814824381883E-01 6.532814824381883E-01 1.000000000000000E+00 5.000000000000000E-01 7.071067811865475E-01 7.071067811865475E-01 3.160360508663705E-01 = Tm_num: Temperatura média numérica [°C] 2.701898230462340E-01 = Tm_an: Temperatura média analítica [°C]