Geodesic
An anti-diffusive Lagrange-Remap scheme for multi-material compressible flows with an arbitrary number of components
Marie Billaud Friess1 ; Samuel Kokh2
1LUNAM Universit, GeM UMR CNRS 6183, Ecole Centrale Nantes, Universit de Nantes 1 rue de la Noë, BP 92101, 44321 Nantes Cedex 3 (France)
2DEN/DANS/DM2S/STMF/LMEC, CEA Saclay, 91191 Gif-sur-Yvette (France)
ESAIM. Proceedings, Tome 35 (2012), pp. 203-209
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We propose a method dedicated to the simulation of interface flows involving an arbitrary number m of compressible components. Our task is two-fold: we first introduce a m-component flow model that generalizes the two-material five-equation model of [2,3]. Then, we present a discretization strategy by means of a Lagrange-Remap [8,10] approach following the lines of [5,7,12]. The projection step involves an anti-dissipative mechanism derived from [11,12]. This feature allows to prevent the numerical diffusion of the material interfaces. We present two-dimensional simulation results of three-material flow.
DOI : 10.1051/proc/201235015

Marie Billaud Friess  1   ; Samuel Kokh  2

1 LUNAM Universit, GeM UMR CNRS 6183, Ecole Centrale Nantes, Universit de Nantes 1 rue de la Noë, BP 92101, 44321 Nantes Cedex 3 (France)
2 DEN/DANS/DM2S/STMF/LMEC, CEA Saclay, 91191 Gif-sur-Yvette (France) 
@article{EP_2012_35_a15,
     author = {Marie Billaud Friess and Samuel Kokh},
     title = {An anti-diffusive {Lagrange-Remap} scheme for multi-material compressible flows with an arbitrary number of components},
     journal = {ESAIM. Proceedings},
     pages = {203--209},
     year = {2012},
     volume = {35},
     doi = {10.1051/proc/201235015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201235015/}
}
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Marie Billaud Friess; Samuel Kokh. An anti-diffusive Lagrange-Remap scheme for multi-material compressible flows with an arbitrary number of components. ESAIM. Proceedings, Tome 35 (2012), pp. 203-209. doi: 10.1051/proc/201235015

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