Open AccessA Convergent three Field Quadrilateral Finite Element Method for Simulating Viscoelastic Flow on Irregular Meshes
Author(s) -
Vitoriano Ruas
Publication year - 1992
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/ejcm2642-2085.141
Subject(s) - polygon mesh , bilinear interpolation , quadrilateral , finite element method , mathematics , interpolation (computer graphics) , volume mesh , flow (mathematics) , field (mathematics) , mathematical analysis , geometry , mesh generation , classical mechanics , physics , structural engineering , pure mathematics , engineering , motion (physics) , statistics
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.