Variational multiscale element free Galerkin method for natural convection with porous medium flow problems

2017 ◽  
Vol 107 ◽  
pp. 1014-1027 ◽  
Author(s):  
Jianghong Chen ◽  
Xiaohua Zhang ◽  
Ping Zhang ◽  
Jiheng Deng
Keyword(s):  
Porous Medium ◽  
Natural Convection ◽  
Galerkin Method ◽  
Element Free Galerkin Method ◽  
Variational Multiscale ◽  
Flow Problems ◽  
Element Free Galerkin ◽  
Medium Flow ◽  
Element Free ◽  
Porous Medium Flow

scholarly journals Numerical Modeling of Stokes Flow in a Circular Cavity by Variational Multiscale Element Free Galerkin Method

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Ping Zhang ◽  
Xiaohua Zhang
Keyword(s):  
Galerkin Method ◽  
Stokes Flow ◽  
Simple Technique ◽  
Circular Cavity ◽  
Incompressible Fluid Flow ◽  
Element Free Galerkin Method ◽  
Variational Multiscale ◽  
Flow Problems ◽  
Element Free Galerkin ◽  
Element Free

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.

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