The sharp-interface approach for fluids with phase change: Riemann problems and ghost fluid techniques
| Autor: | Christian Merkle, Christian Rohde |
|---|---|
| Rok vydání: | 2007 |
| Předmět: |
Numerical Analysis
Conservation law Phase transition Basis (linear algebra) Applied Mathematics Numerical analysis Mathematical analysis Phase (waves) Riemann solver Computational Mathematics Riemann hypothesis symbols.namesake Riemann problem Classical mechanics Modeling and Simulation symbols Analysis Mathematics |
| Zdroj: | ESAIM: Mathematical Modelling and Numerical Analysis. 41:1089-1123 |
| ISSN: | 1290-3841 0764-583X |
| Popis: | Systems of mixed hyperbolic-elliptic conservation laws can serve as models for the evolution of a liquid-vapor fluid with possible sharp dynamical phase changes. We focus on the equations of ideal hydrodynamics in the isothermal case and introduce a thermodynamically consistent solution of the Riemann problem in one space dimension. This result is the basis for an algorithm of ghost fluid type to solve the sharp-interface model numerically. In particular the approach allows to resolve phase transitions sharply, i.e., without artificial smearing in the physically irrelevant elliptic region. Numerical experiments demonstrate the reliability of the method. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|