On Riemann Solvers and Kinetic Relations for Isothermal Two-Phase Flows with Surface Tension
We consider a sharp-interface approach for the inviscid isothermal dynamics of compressible two-phase flow, that accounts for phase transition and surface tension effects. To fix the mass exchange and entropy dissipation rate across the interface kinetic relations are frequently used. The complete u...
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Zusammenfassung: | We consider a sharp-interface approach for the inviscid isothermal dynamics
of compressible two-phase flow, that accounts for phase transition and surface
tension effects. To fix the mass exchange and entropy dissipation rate across
the interface kinetic relations are frequently used. The complete
uni-directional dynamics can then be understood by solving generalized
two-phase Riemann problems. We present new well-posedness theorems for the
Riemann problem and corresponding computable Riemann solvers, that cover quite
general equations of state, metastable input data and curvature effects. The
new Riemann solver is used to validate different kinetic relations on
physically relevant problems including a comparison with experimental data.
Riemann solvers are building blocks for many numerical schemes that are used to
track interfaces in two-phase flow. It is shown that the new Riemann solver
enables reliable and efficient computations for physical situations that could
not be treated before. |
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DOI: | 10.48550/arxiv.1611.02243 |