Resumé
We develop a Godunov-type scheme for a non-conservative, unconditional hyperbolic multiphase model. It involves a set of seven partial differential equations and has the ability to solve interface problems between pure materials as well as compressible multiphase mixtures with two velocities and non-equilibrium thermodynamics (two pressures, two temperatures, two densities, etc.). Its numerical resolution poses several difficulties. The model possesses a large number of acoustic and convective waves (seven waves) and it is not easy to upwind all these waves accurately and simply. Also, the system is non-conservative, and the numerical approximations of the corresponding terms need to be provided. In this paper, we focus on a method, based on a characteristic decomposition which solves these problems in a simple way and with good accuracy. The robustness, accuracy and versatility of the method is clearly demonstrated on several test problems with exact solutions.
Originalsprog | Engelsk |
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Sider (fra-til) | 109-131 |
Antal sider | 23 |
Tidsskrift | International Journal for Numerical Methods in Fluids |
Vol/bind | 41 |
Udgave nummer | 2 |
DOI | |
Status | Udgivet - 20 jan. 2003 |
Udgivet eksternt | Ja |
Programområde
- Programområde 3: Energiressourcer