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Boundary conditions for a divergence free velocity-pressure formulation of the Navier-Stokes equations
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering.
2007 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 225, no 1, 874-890 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2007. Vol. 225, no 1, 874-890 p.
Keyword [en]
Navier-Stokes, incompressible flow, divergence, boundary conditions
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-37108DOI: 10.1016/j.jcp.2007.01.010ISI: 000248854300044Scopus ID: 2-s2.0-34447267727OAI: oai:DiVA.org:kth-37108DiVA: diva2:432130
Available from: 2011-08-01 Created: 2011-08-01 Last updated: 2017-12-08Bibliographically approved

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