# Interface tracking method for compressible multifluids

Alina Chertock; Smadar Karni; Alexander Kurganov

ESAIM: Mathematical Modelling and Numerical Analysis (2008)

- Volume: 42, Issue: 6, page 991-1019
- ISSN: 0764-583X

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topChertock, Alina, Karni, Smadar, and Kurganov, Alexander. "Interface tracking method for compressible multifluids." ESAIM: Mathematical Modelling and Numerical Analysis 42.6 (2008): 991-1019. <http://eudml.org/doc/250405>.

@article{Chertock2008,

abstract = {
This paper is concerned with numerical methods for compressible multicomponent fluids. The fluid components are assumed immiscible, and are
separated by material interfaces, each endowed with its own equation of state (EOS). Cell averages of computational cells that are occupied
by several fluid components require a “mixed-cell” EOS, which may not always be physically meaningful, and often leads to spurious
oscillations. We present a new interface tracking algorithm, which avoids using mixed-cell information by solving the Riemann problem
between its single-fluid neighboring cells. The resulting algorithm is oscillation-free for isolated material interfaces, conservative, and
tends to produce almost perfect jumps across material fronts. The computational framework is general and may be used in conjunction with
one's favorite finite-volume method. The robustness of the method is illustrated on shock-interface interaction in one space dimension,
oscillating bubbles with radial symmetry and shock-bubble interaction in two space dimensions.
},

author = {Chertock, Alina, Karni, Smadar, Kurganov, Alexander},

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

keywords = {Compressible Euler equations; multicomponent fluids; material interfaces; finite-volume schemes.; compressible Euler equations; finite-volume schemes},

language = {eng},

month = {9},

number = {6},

pages = {991-1019},

publisher = {EDP Sciences},

title = {Interface tracking method for compressible multifluids},

url = {http://eudml.org/doc/250405},

volume = {42},

year = {2008},

}

TY - JOUR

AU - Chertock, Alina

AU - Karni, Smadar

AU - Kurganov, Alexander

TI - Interface tracking method for compressible multifluids

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2008/9//

PB - EDP Sciences

VL - 42

IS - 6

SP - 991

EP - 1019

AB -
This paper is concerned with numerical methods for compressible multicomponent fluids. The fluid components are assumed immiscible, and are
separated by material interfaces, each endowed with its own equation of state (EOS). Cell averages of computational cells that are occupied
by several fluid components require a “mixed-cell” EOS, which may not always be physically meaningful, and often leads to spurious
oscillations. We present a new interface tracking algorithm, which avoids using mixed-cell information by solving the Riemann problem
between its single-fluid neighboring cells. The resulting algorithm is oscillation-free for isolated material interfaces, conservative, and
tends to produce almost perfect jumps across material fronts. The computational framework is general and may be used in conjunction with
one's favorite finite-volume method. The robustness of the method is illustrated on shock-interface interaction in one space dimension,
oscillating bubbles with radial symmetry and shock-bubble interaction in two space dimensions.

LA - eng

KW - Compressible Euler equations; multicomponent fluids; material interfaces; finite-volume schemes.; compressible Euler equations; finite-volume schemes

UR - http://eudml.org/doc/250405

ER -

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