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

โœ Scribed by Gabriel R. Barrenechea; Jordi Blasco

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
541 KB
Volume
197
Category
Article
ISSN
0045-7825

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โœฆ Synopsis

In 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.

๐Ÿ“œ SIMILAR VOLUMES

Time dependent subscales in the stabiliz
Time dependent subscales in the stabilized finite element approximation of incompressible flow problems
โœ Ramon Codina; Javier Principe; Oriol Guasch; Santiago Badia ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 698 KB

In this paper we analyze a stabilized finite element approximation for the incompressible Navier-Stokes equations based on the subgrid-scale concept. The essential point is that we explore the properties of the discrete formulation that results allowing the subgrid-scales to depend on time. This app