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Sharp interface capturing in compressible multi-material flows with a diffuse interface method

Abstract : Compressible multi-material flows are omnipresent in scientifc and industrial applications: from the supernova explosions in space, high speed flows in jet and rocket propulsion to the scenario of the underwater explosions, and vapor explosions in the post accidental situation in the nuclear reactors, their application covers almost all the aspects of classical fluid physics. In the numerical simulations of these flows, interfaces play a very crucial role. A poor numerical resolution of the interfaces could make it very difficult to account for the physics like material separation, location of the shocks and the contact discontinuities, and the transfer of the mass, momentum, heat between different materials/phases. Owing to such an importance, the sharp interface capturing remains a very active area of research in computational Physics. To address this problem in this paper we focus on the Interface Capturing (IC) strategy, and thus we make the use of a newly developed Diffuse Interface Method (DIM) called: Multidimensional Limiting Process-Upper Bound (MLP-UB). Our analysis shows that this method is easy to implement, easily extendable to multiple space dimensions, can deal with any number of material interfaces, and produces sharp shape-preserving interfaces, along with their accurate interaction with shocks and contact discontinuities. Numerical experiments show very good results even over rather coarse meshes.
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Submitted on : Wednesday, April 6, 2022 - 11:54:18 AM
Last modification on : Thursday, April 7, 2022 - 3:34:19 AM
Long-term archiving on: : Thursday, July 7, 2022 - 6:08:26 PM

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Shambhavi Nandan, Christophe Fochesato, Mathieu Peybernes, Renaud Motte, Florian de Vuyst. Sharp interface capturing in compressible multi-material flows with a diffuse interface method. Applied Sciences, MDPI, 2021, 11 (24), pp.12107. ⟨10.3390/app112412107⟩. ⟨cea-03631609⟩

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