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

Christian Merkle; Christian Rohde

ESAIM: Mathematical Modelling and Numerical Analysis (2007)

- Volume: 41, Issue: 6, page 1089-1123
- ISSN: 0764-583X

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topMerkle, Christian, and Rohde, Christian. "The sharp-interface approach for fluids with phase change: Riemann problems and ghost fluid techniques." ESAIM: Mathematical Modelling and Numerical Analysis 41.6 (2007): 1089-1123. <http://eudml.org/doc/250027>.

@article{Merkle2007,

abstract = {
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.
},

author = {Merkle, Christian, Rohde, Christian},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Dynamical phase transitions in compressible media;
van-der-Waals pressure; kinetic relations; Riemann solver; ghost fluid approach.; dynamical phase transitions in compressible media; van-der-Waals pressure; ghost fluid approach},

language = {eng},

month = {12},

number = {6},

pages = {1089-1123},

publisher = {EDP Sciences},

title = {The sharp-interface approach for fluids with phase change: Riemann problems and ghost fluid techniques},

url = {http://eudml.org/doc/250027},

volume = {41},

year = {2007},

}

TY - JOUR

AU - Merkle, Christian

AU - Rohde, Christian

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

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2007/12//

PB - EDP Sciences

VL - 41

IS - 6

SP - 1089

EP - 1123

AB -
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.

LA - eng

KW - Dynamical phase transitions in compressible media;
van-der-Waals pressure; kinetic relations; Riemann solver; ghost fluid approach.; dynamical phase transitions in compressible media; van-der-Waals pressure; ghost fluid approach

UR - http://eudml.org/doc/250027

ER -

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