Aplication of the hierarchical expansion method in the solution of the Navier-Stokes equations in two dimensions for compressible fluids at high speed. / Aplicação do método da expansão em funções hierárquicas na solução das equações de Navier-Stokes em duas dimensões para fluidos compressíveis em alta velocidade.

AUTOR(ES)
DATA DE PUBLICAÇÃO

2006

RESUMO

The Thesis develops a new application for the Hierarchical Function Expansion Method, proposed by Zienkiewics and Morgan (1983), for the solution of the Navier-Stokes equations for compressible fluids in two dimensions and in high velocity. This method is based on the finite elements method using the Petrov-Galerkin formulation, know as, SUPG (Streamline Upwind Petrov-Galerkin) developed by Brooks and Hughes (1982), and applied in conjunction with the expansion of the variables into hierarchical functions. To test and validate the numerical method proposed as well as the computational program developed some cases whose theoretical solution are known simulated. These cases are the following: continuity test; stability and convergence test; temperature step problem; and several oblique shocks. The objective of the last cases is basically to verify the capture of the shock wave by the method developed. The results obtained in the simulations of the cases performed with the proposed method were good both qualitatively and quantitatively when compared with the teorethical solutions. This allows us to conclude that the objective of this Thesis was satisfactorily reached.

ASSUNTO(S)

ondas de choque computational fluid mechanics equações de navier-stokes navier-stokes equations finite element method mecânica dos fluidos escoamento monofásico shock wave método dos elementos finitos compressible flow

ACESSO AO ARTIGO

Documentos Relacionados