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A Pseudo-Stokes Mesh Motion Algorithm

A Pseudo-Stokes Mesh Motion Algorithm

Year:    2013

Author:    Luciano Gonçalves Noleto, Manuel N. D. Barcelos Jr., Antonio C. P. Brasil Jr.

Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 2 : pp. 194–211

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 criterion 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.11-m1186

Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 2 : pp. 194–211

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Moving boundaries mesh motion strategy finite element projection methods.

Author Details

Luciano Gonçalves Noleto Email

Manuel N. D. Barcelos Jr. Email

Antonio C. P. Brasil Jr. Email