Boundary conditions for a divergence free velocity-pressure formulation of the Navier-Stokes equations

Jan Nordström, Ken Mattsson, Charles Swanson

Research output: Contribution to journalArticlepeer-review

45 Citations (Scopus)

Abstract

New sets of boundary conditions for the velocity-pressure formulation of the incompressible Navier-Stokes equations are derived. The boundary conditions have the same form on both inflow and outflow boundaries and lead to a divergence free solution. Moreover, the specific form of the boundary condition makes it possible derive a symmetric positive definite equation system for the internal pressure. Numerical experiments support the theoretical conclusions.

Original languageEnglish
Pages (from-to)874-890
Number of pages17
JournalJournal of Computational Physics
Volume225
Issue number1
DOIs
Publication statusPublished - 1 Jul 2007
Externally publishedYes

Keywords

  • Boundary conditions
  • Divergence
  • Incompressible flow
  • Navier-Stokes

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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