Algoritmos de integração temporal para solução adaptativa e paralela das equações de Navier-Stokes

Detalhes bibliográficos
Ano de defesa: 2017
Autor(a) principal: Canesin, Fábio César
Orientador(a): Não Informado pela instituição
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Federal do Rio de Janeiro
Brasil
Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia
Programa de Pós-Graduação em Engenharia Civil
UFRJ
Programa de Pós-Graduação: Não Informado pela instituição
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Palavras-chave em Português:
Link de acesso: http://hdl.handle.net/11422/9709
Resumo: Turbulent flows are dominant in industrial and everyday applications, due to the inherent advantages of flow characteristics and the difficulty of maintaining flow in the laminar regime. The numerical simulation of turbulent flows presents intrinsic challenges due to the high computational cost for representing the flow structures. In the literature there are several methodologies for an analytical characterization of the contribution of small scales with the objective of achieving a computational cost acceptable to the available resources. One of the most recent methodologies is the variational multi-scale modeling (VMS), which has the advantage of not requiring a filtering of small-scale effects as well as being a generalization of the Petrov-Galerkin stabilization in finite element formulations. The present work seeks to characterize the computational performance of the turbulent flows formulation with VMS modeling for the incompressible Navier-Stokes equations, the first and second order backward difference formulas (BDF) methods are compared, as well as the solution of the linear system using the Jacobian free Newton-Krylov (JFNK) technique and a semi-implicit strategy making use of the BDF discretization. The implementation of the studied reference case was performed using the opensource library libMesh, written in C ++ the library offers several facilities for efficient development of highperformance computing solvers.