| Contents |
| The dynamics of compressible liquid-vapour flow with phase transition and surface tension
can be described for ideal fluids by the Euler equations in the bulk and appropriate interface conditions.
The interface conditions consist not only of the standard Rankine-Hugoniot relations but contain a dynamic version
of the Young-Laplace law and --more important-- a generalized form of the Gibbs-Thomson relation such that one gets a complex
free boundary value problem.\\
For compressible
multiphase flow lots of numerical methods that rely on e.g.~front tracking or ghostfluid ideas have been suggested in recent years.
The core ingredient of most of these methods are Riemann solvers at the interface. For the situation at hand exact Riemann solvers
do not exist or are computationally much too expensive. To circumvent this difficulty we present new approximative solvers.
The solvers are tested on various flow examples in one and two space dimensions.
This is joint work with C.~Chalons, F.~Coquel, and C.~Zeiler. |
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