Pressure segregation methods based on a discrete pressure Poisson equation. An algebraic approach

Santiago Badia, Ramon Codina

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8 Citations (Scopus)

Abstract

In this paper, we introduce some pressure segregation methods obtained from a non-standard version of the discrete monolithic system, where the continuity equation has been replaced by a pressure Poisson equation obtained at the discrete level. In these methods it is the velocity instead of the pressure the extrapolated unknown. Moreover, predictor-corrector schemes are suggested, again motivated by the new monolithic system. Key implementation aspects are discussed, and a complete stability analysis is performed. We end with a set of numerical examples in order to compare these methods with classical pressure-correction schemes.

Original languageEnglish
Pages (from-to)351-382
Number of pages32
JournalInternational Journal for Numerical Methods in Fluids
Volume56
Issue number4
DOIs
Publication statusPublished - 10 Feb 2008
Externally publishedYes

Keywords

  • Incompressible Navier-Stokes equations
  • Predictor-corrector
  • Pressure segregation
  • Velocity correction

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