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Pressure stabilization of finite element approximations of time-dependent incompressible flow problems

Barrenechea, Gabriel and Blasco, Jordi (2007) Pressure stabilization of finite element approximations of time-dependent incompressible flow problems. Computer Methods in Applied Mechanics and Engineering, 197 (1-4). pp. 219-231.

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Abstract

This paper we develop and analyze pressure stabilized, finite element methods for the solution of the transient Stokes problem, which is a linear model problem of transient incompressible flow. A model for the bubble enrichment is proposed to stabilize the numerical solution and an implicit backward Euler method is considered for the time approximation. Different methods are obtained depending on whether bubbles are allowed to evolve with time or they are considered quasi-static. Stability estimates are provided for the two methods considered, both for the velocity and the pressure solutions. Numerical results obtained on test cases are also given, which confirm the theoretical stability results.

Item type: Article
ID code: 29665
Keywords: finite elements, incompressible flow, time-dependent Stokes problem, stability analysis, pressure stabilization, Probabilities. Mathematical statistics, Physics and Astronomy(all), Mechanics of Materials, Mechanical Engineering, Computational Mechanics, Computer Science Applications
Subjects: Science > Mathematics > Probabilities. Mathematical statistics
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
Depositing user: Pure Administrator
Date Deposited: 01 Apr 2011 14:10
Last modified: 05 Sep 2014 08:01
URI: http://strathprints.strath.ac.uk/id/eprint/29665

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