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

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  • معلومة اضافية
    • Contributors:
      Unité de Recherche Environnement, Génomique Fonctionnelle et Études Mathématiques Beyrouth (UR-EGFEM); Université Saint-Joseph de Beyrouth (USJ); Laboratoire Jacques-Louis Lions (LJLL); Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS); Algorithms and parallel tools for integrated numerical simulations (ALPINES); Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)-Institut National des Sciences Mathématiques et de leurs Interactions - CNRS Mathématiques (INSMI-CNRS)-Inria de Paris; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)
    • بيانات النشر:
      HAL CCSD
    • الموضوع:
      2016
    • Collection:
      Université Saint-Joseph de Beyrouth (USJ): HAL
    • نبذة مختصرة :
      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.
    • Relation:
      hal-01217940; https://hal.sorbonne-universite.fr/hal-01217940; https://hal.sorbonne-universite.fr/hal-01217940v2/document; https://hal.sorbonne-universite.fr/hal-01217940v2/file/Article.pdf
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.F85631DB