Numerical Modeling of Stokes Flow in a Circular Cavity by Variational Multiscale Element Free Galerkin Method
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 variati...
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Hindawi Limited
2014-01-01
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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2014/451546 |
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doaj-0ee2ea44577241988e7792c1711bdac72020-11-24T22:17:14ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472014-01-01201410.1155/2014/451546451546Numerical Modeling of Stokes Flow in a Circular Cavity by Variational Multiscale Element Free Galerkin MethodPing Zhang0Xiaohua Zhang1College of Science, China Three Gorges University, Yichang 443002, ChinaCollege of Science, China Three Gorges University, Yichang 443002, ChinaThe 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.http://dx.doi.org/10.1155/2014/451546 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ping Zhang Xiaohua Zhang |
spellingShingle |
Ping Zhang Xiaohua Zhang Numerical Modeling of Stokes Flow in a Circular Cavity by Variational Multiscale Element Free Galerkin Method Mathematical Problems in Engineering |
author_facet |
Ping Zhang Xiaohua Zhang |
author_sort |
Ping Zhang |
title |
Numerical Modeling of Stokes Flow in a Circular Cavity by Variational Multiscale Element Free Galerkin Method |
title_short |
Numerical Modeling of Stokes Flow in a Circular Cavity by Variational Multiscale Element Free Galerkin Method |
title_full |
Numerical Modeling of Stokes Flow in a Circular Cavity by Variational Multiscale Element Free Galerkin Method |
title_fullStr |
Numerical Modeling of Stokes Flow in a Circular Cavity by Variational Multiscale Element Free Galerkin Method |
title_full_unstemmed |
Numerical Modeling of Stokes Flow in a Circular Cavity by Variational Multiscale Element Free Galerkin Method |
title_sort |
numerical modeling of stokes flow in a circular cavity by variational multiscale element free galerkin method |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1024-123X 1563-5147 |
publishDate |
2014-01-01 |
description |
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. |
url |
http://dx.doi.org/10.1155/2014/451546 |
work_keys_str_mv |
AT pingzhang numericalmodelingofstokesflowinacircularcavitybyvariationalmultiscaleelementfreegalerkinmethod AT xiaohuazhang numericalmodelingofstokesflowinacircularcavitybyvariationalmultiscaleelementfreegalerkinmethod |
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1725785813777645568 |