Método de Elementos Finitos de Galerkin Descontínuo para Equações de Navier-Stokes Bidimensionais
DOI:
https://doi.org/10.5540/tema.2005.06.01.0101Abstract
Neste trabalho apresentamos um método de Galerkin descontínuo para as equações de Navier-Stokes incompressíveis, bidimensionais em regime permanente. Usando a formulação da função corrente, o problema se reduz para uma equação biharmônica não-linear que é linearizada com o método de iteração de Picard. Para a equação biharmônica linear, apresentamos uma formulação com penalização interior do método de elementos finitos de Galerkin descontínuo. Esta formulação é o resultado da combinação de outras duas formulações, uma para a parte elíptica e outra para parte hiperbólica do problema. São apresentados resultados numéricos que confirmam a eficiência do método na resolução numérica das equações de Navier-Stokes para uma ampla escala do número de Reynolds.References
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