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 language | English |
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Pages (from-to) | 874-890 |
Number of pages | 17 |
Journal | Journal of Computational Physics |
Volume | 225 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jul 2007 |
Externally published | Yes |
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