scholarly journals A moving mesh finite element algorithm for fluid flow problems with moving boundaries

2005 ◽  
Vol 47 (10-11) ◽  
pp. 1077-1083 ◽  
Author(s):  
M. J. Baines ◽  
M. E. Hubbard ◽  
P. K. Jimack
Keyword(s):  
Finite Element ◽  
Fluid Flow ◽  
Moving Boundaries ◽  
Moving Mesh ◽  
Flow Problems ◽  
Element Algorithm

scholarly journals A Convergent three Field Quadrilateral Finite Element Method for Simulating Viscoelastic Flow on Irregular Meshes

1992 ◽  
pp. 391-406
Author(s):  
Victoriano Ruas
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fluid Flow ◽  
Stokes System ◽  
Viscoelastic Flow ◽  
Flow Problems ◽  
Extra Stress Tensor ◽  
Irregular Meshes ◽  
Quadrilateral Finite Element ◽  
Extra Stress

In a recent paper a finite elemenJ method for solving the three field Stokes system as a basis for the numerical solution of viscoelastic fluid flow problems was introduced. The method constructed upon a biquadratic velocity, a discontinuous linear pressure and a bilinear extra stress tensor interpolation in quadrilaterals, enriched with fifteen bubble tensors, has been proved to yield second order approximations of these variables, in the case of rectangular meshes. In this work equivalent results are proven to hold in the case of irregular meshes.  

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