A direct one-step pressure actualization for incompressible flow with pressure Neumann condition

Elba Bravo, Julio R. Claeyssen, Rodrigo B. Platte

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

We develop a velocity-pressure algorithm, in primitive variables and finite differences, for incompressible viscous flow with a Neumann pressure boundary condition. The pressure field is initialized by least-squares and up-dated from the Poisson equation in one step without iteration. Simulations with the square cavity problem are made for several Reynolds numbers. We obtain the expected displacement of the central vortex and the appearance of secondary and tertiary eddies. Different geometry ratios and a 3D cavity simulation are also considered.

Original languageEnglish (US)
Pages (from-to)43-53
Number of pages11
JournalJournal of Computational and Applied Mathematics
Volume103
Issue number1
DOIs
StatePublished - Mar 15 1999
Externally publishedYes

Keywords

  • Incompressible flow
  • Pressure update
  • Square cavity

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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