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A Pseudo-Stokes Mesh Motion Algorithm

Published online by Cambridge University Press:  03 June 2015

Luciano Gonçalves Noleto ,
Manuel N.D. Barcelos Jr.  and
Antonio C. P. Brasil Jr.
Luciano Gonçalves Noleto*
Affiliation:
Universidade de Brasília no Gama. Complexo de Educaçāo, Cultura, Esporte e Lazer. Área Especial de Indústria 1, Setor Leste, Faculdade Lote 1. Gama-DF, Brasil, 72.444-210
Manuel N.D. Barcelos Jr.*
Affiliation:
Universidade de Brasília no Gama. Complexo de Educaçāo, Cultura, Esporte e Lazer. Área Especial de Indústria 1, Setor Leste, Faculdade Lote 1. Gama-DF, Brasil, 72.444-210
Antonio C. P. Brasil Jr.*
Affiliation:
Universidade de Brasília, Faculdade de Tecnologia, Departamento de Engenharia Mecânica, Laboratório de Energia e Ambiente. Asa Norte. Brasília-DF, Brasil, 70.910-900
*
Corresponding author. Email: lucianonoleto@unb.br
Email: manuelbarcelos@unb.br
Email: brasiljr@unb.br
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Abstract

This work presents a moving mesh methodology based on the solution of a pseudo flow problem. The mesh motion is modeled as a pseudo Stokes problem solved by an explicit finite element projection method. The mesh quality requirements are satisfied by employing a null divergent velocity condition. This methodology is applied to triangular unstructured meshes and compared to well known approaches such as the ones based on diffusion and pseudo structural problems. One of the test cases is an airfoil with a fully meshed domain. A specific rotation velocity is imposed as the airfoil boundary condition. The other test is a set of two cylinders that move toward each other. A mesh quality criteria is employed to identify critically distorted elements and to evaluate the performance of each mesh motion approach. The results obtained for each test case show that the pseudo-flow methodology produces satisfactory meshes during the moving process.

Keywords

76M1065M5035R37Moving boundariesmesh motion strategyfinite element projection methods
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 5 , Issue 2 , April 2013 , pp. 194 - 211
Copyright
Copyright © Global-Science Press 2013

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