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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.
@article{M2AN_2008__42_6_991_0,
author = {Chertock, Alina and Karni, Smadar and Kurganov, Alexander},
title = {Interface tracking method for compressible multifluids},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {991--1019},
publisher = {EDP-Sciences},
volume = {42},
number = {6},
year = {2008},
doi = {10.1051/m2an:2008036},
mrnumber = {2473317},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2008036/}
}
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 PY - 2008 SP - 991 EP - 1019 VL - 42 IS - 6 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/m2an:2008036/ DO - 10.1051/m2an:2008036 LA - en ID - M2AN_2008__42_6_991_0 ER -
%0 Journal Article %A Chertock, Alina %A Karni, Smadar %A Kurganov, Alexander %T Interface tracking method for compressible multifluids %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2008 %P 991-1019 %V 42 %N 6 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/m2an:2008036/ %R 10.1051/m2an:2008036 %G en %F M2AN_2008__42_6_991_0
Chertock, Alina; Karni, Smadar; Kurganov, Alexander. Interface tracking method for compressible multifluids. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 42 (2008) no. 6, pp. 991-1019. doi: 10.1051/m2an:2008036
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