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Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows Nonlinear model

✍ Scribed by Lei Zhou; Tian-Xiao Zhou

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
389 KB
Volume
81
Category
Article
ISSN
0377-0427

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✦ Synopsis

Formulated in terms of velocity, pressure and the extra stress tensor, the incompressible Navier-Stokes is discretized by stabilized finite element method. The stabilized method proposed is analyzed for the full nonlinear model, and is applicable to various combinations of interpolation functions, including the simplest equal-order linear and bilinear elements.

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In this paper we are concerned with a weighted least-squares finite element method for approximating the solution of boundary value problems for 2-D viscous incompressible flows. We consider the generalized Stokes equations with velocity boundary conditions. Introducing the auxiliary variables (stre