Abstract
This paper concerns numerical methods for two-phase flows. The governing equations are the compressible 2-velocity, 2-pressure flow model. Pressure and velocity relaxation are included as source terms. Results obtained by a Godunov-type central scheme and a Roe-type upwind scheme are presented. Issues of preservation of pressure equilibrium, and positivity of the partial densities are addressed.
Original language | English (US) |
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Pages (from-to) | 477-493 |
Number of pages | 17 |
Journal | Mathematical Modelling and Numerical Analysis |
Volume | 38 |
Issue number | 3 |
DOIs | |
State | Published - May 2004 |
Externally published | Yes |
Keywords
- Central schemes
- Euler equations
- Numerical methods
- Two-phase flows
- Upwind schemes
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Modeling and Simulation
- Computational Mathematics
- Applied Mathematics