Numerical modeling of Stokes flow in a circular cavity by variational multiscale element free Galerkin method
type: Item
instance of: scholarly article
title: Numerical modeling of Stokes flow in a circular cavity by variational multiscale element free Galerkin method
zbMATH Open document ID: 1407.76077
DOI: 10.1155/2014/451546
author: Ping Zhang
author: Xiaohua Zhang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: The variational multiscale element free Galerkin method is extended to simulate the Stokes flow problems in a circular cavity as an irregular geometry. The method is combined with Hughes's variational multiscale formulation and element free Galerkin method; thus it inherits the advantages of variational multiscale and meshless methods. Meanwhile, a simple technique is adopted to impose the essential boundary conditions which makes it easy to solve problems with complex area. Finally, two examples are solved and good results are obtained as compared with solutions of analytical and numerical methods, which demonstrates that the proposed method is an attractive approach for solving incompressible fluid flow problems in terms of accuracy and stability, even for complex irregular boundaries.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 7016462
Wikidata QID: Q59067282
describes a project that uses: Mfree2D
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/451546
OpenAlex ID: W2013465996
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description: scientific article; zbMATH DE number 7016462