Study of a finite element method for the time-dependent generalized Stokes system associated with viscoelastic flow

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:234

Article

Carneiro de Araujo, J. H.^2,3  Gomes, P. D.³  Ruas, V.^1,3 

[1] Univ Paris 06, Inst Jean le Rond dAlembert, UMR 7190, CNRS, F-75252 Paris 05, France

[2] Univ Fed Fluminense, Dept Ciencia Comp, Niteroi, RJ, Brazil

[3] Univ Fed Fluminense, Programa Posgrad Ciencia Comp, Niteroi, RJ, Brazil

关键词: Explicit solution;    Finite elements;    Piecewise linear;    Stokes system;    Three-field methods;    Time-dependent;    Viscoelastic flows;   

DOI  :  10.1016/j.cam.2010.03.025

来源: Elsevier

【 摘 要 】

A three-field finite element scheme designed for solving systems of partial differential equations governing time-dependent viscoelastic flows is studied. Once a classical backward Euler time discretization is performed, the resulting three-field system of equations allows fora stable approximation of velocity, pressure and extra stress tensor, by means of continuous piecewise linear finite elements, in both two- and three- dimensional space. This is proved to hold for the linearized form of the system. An advantage of the new formulation is the fact that it provides an algorithm for the explicit iterative resolution of system nonlinearities. Convergence in an appropriate sense applying to these three flow fields is demonstrated. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

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