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Interface transport scheme of a two-phase flow by the method of characteristics

Abstract : In this paper, we study an interface transport scheme of a two-phase flow of an incompress-ible viscous immiscible fluid. The problem is discretized by the characteristics method in time and finite elements method in space. The interface is captured by the Level-Set function. Appropriate boundary conditions for the problem of mould filling are investigated, a new natural boundary condition under pressure effect for the transport equation is proposed and an algorithm for computing the solution is presented. Finally, numerical experiments show and validate the effectiveness of the proposed scheme.
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Preprints, Working Papers, ...
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Contributor : Mireille El-Haddad <>
Submitted on : Tuesday, October 20, 2015 - 1:29:13 PM
Last modification on : Thursday, March 26, 2020 - 9:25:00 PM
Document(s) archivé(s) le : Friday, April 28, 2017 - 6:45:03 AM


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  • HAL Id : hal-01217940, version 1


Mireille El-Haddad, Frédéric Hecht, Toni Sayah. Interface transport scheme of a two-phase flow by the method of characteristics. 2015. ⟨hal-01217940v1⟩



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