Displaying similar documents to “The Riemann problem for a class of resonant hyperbolic systems of balance laws”

The sharp-interface approach for fluids with phase change: Riemann problems and ghost fluid techniques

Christian Merkle, Christian Rohde (2007)

ESAIM: Mathematical Modelling and Numerical Analysis

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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...