A simple pressure stabilization method for the Stokes equation

In this paper, we consider a stabilization method for the Stokes problem, using equal‐order interpolation of the pressure and velocity, which avoids the use of the mesh size parameter in the stabilization term. We show that our approach is stable for equal‐order interpolation in the case of piecewis...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Communications in numerical methods in engineering Jg. 24; H. 11; S. 1421 - 1430
Hauptverfasser: Becker, Roland, Hansbo, Peter
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Chichester, UK John Wiley & Sons, Ltd 01.11.2008
Wiley
Schlagworte:
Beräkningsmatematik
Computational Mathematics
Computational techniques
equal-order interpolation
Exact sciences and technology
Fluid dynamics
Fluid Mechanics
Fundamental areas of phenomenology (including applications)
General theory
Mathematical methods in physics
Physics
stabilization
Stokes problem
Strömningsmekanik
Incompressible flow
Stokes problem
Stokes equation
Stabilization
Polynomial approximation
Quadratic approximation
equal-order interpolation
Piecewise linear system
ISSN:1069-8299, 1099-0887, 1099-0887
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we consider a stabilization method for the Stokes problem, using equal‐order interpolation of the pressure and velocity, which avoids the use of the mesh size parameter in the stabilization term. We show that our approach is stable for equal‐order interpolation in the case of piecewise linear and piecewise quadratic polynomials on triangles. In the case of linear polynomials, we retrieve a well‐known idea of using mass lumping as a stabilization mechanism. Copyright © 2007 John Wiley & Sons, Ltd.
Bibliographie:ArticleID:CNM1041
istex:4F1FD78854F75F03D79BE2CCBD9E476C7920C1E1
ark:/67375/WNG-J4HT5J56-H
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1069-8299
1099-0887
1099-0887
DOI:10.1002/cnm.1041