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A pure eulerian method with interface capturing for multi-material fluid flows in dimension 1, 2 and 3

Abstract : The method described in this report is designed to simulate multi-material fluid flows, by solving compressible Euler equations with sharp interface capturing, in dimension 2 and 3. Materials are supposed to be non-miscible and to follow different equations of state. The main purpose of this work is to design an interface reconstruction method with no diffusion at all between materials of any eulerian quantity. One novelty of our approach is the use of a pure eulerian finite volume scheme in an interface reconstruction method. A new concept is introduced, the ”condensate”, which allows to handle mixed cells containing two or more materials and to calculate the evolution of the interface on the fixed eulerian grid. Moreover, this method allows a free sliding of materials on each others. The accuracy of the method is evaluated on academic 1D benchmarks and its robustness is tested with severe 2D benchmarks.
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https://tel.archives-ouvertes.fr/tel-00262277
Contributor : Ens Cachan Bibliothèque <>
Submitted on : Tuesday, March 11, 2008 - 11:55:46 AM
Last modification on : Thursday, July 2, 2020 - 5:17:17 PM
Long-term archiving on: : Thursday, May 20, 2010 - 7:57:58 PM

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  • HAL Id : tel-00262277, version 1

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Jean-Philippe Braeunig. A pure eulerian method with interface capturing for multi-material fluid flows in dimension 1, 2 and 3. Mathematics [math]. École normale supérieure de Cachan - ENS Cachan, 2007. English. ⟨tel-00262277⟩

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