Displaying similar documents to “Nonclassical Riemann solvers and kinetic relations III: A nonconvex hyperbolic model for Van der Waals fluids.”

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...

Wave front tracking in systems of conservation laws

Rinaldo M. Colombo (2004)

Applications of Mathematics

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This paper contains several recent results about nonlinear systems of hyperbolic conservation laws obtained through the technique of Wave Front Tracking.