The paper presents a discussion of some phenomena related to the pressure-correction scheme implemented in a spectral element or ®nite element context. Of particular interest are the spurious boundary layers created around prescribed boundaries in which the pressure exhibits spurious behaviour. The
Convergence analysis of a staggered pressure correction scheme for viscous incompressible flows
✍ Scribed by Yongdong Zhang; Yue-Kuen Kwok
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 205 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0749-159X
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✦ Synopsis
This article performs the convergence analysis of a staggered pressure correction scheme for solving unsteady viscous incompressible flows in a bounded domain using the energy method. Error estimates for the numerical velocity field of the difference scheme are established. The analysis adopts the method of bounded truncation functions as advocated by Arnold et al.
📜 SIMILAR VOLUMES
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