Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 225, Issue 1, Pages 874-890Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2007.01.010
Keywords
Navier-Stokes; incompressible flow; divergence; boundary conditions
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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. (c) 2007 Elsevier Inc. All rights reserved.
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