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A Hybrid Scheme for Two-Phase Flow

  • Mass Per Pettersson
  • Gianluca Iaccarino
  • Jan Nordström
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Part of the Mathematical Engineering book series (MATHENGIN)

Abstract

In this chapter, we investigate a two-phase flow generalization of the Euler equations. A symmetrized problem formulation that generalizes previous energy estimates in for the Euler equations is used for the stochastic Galerkin system. The solution is expected to develop non-smooth features that are localized in space. Consequently, we adapt the numerical method to the smoothness of the solution. Finite-difference operators in summation-by-parts (SBP) form are used for the high-order spatial discretization, and the HLL-flux and MUSCL reconstruction are employed for shock-capturing in the non-smooth region. The coupling between the different solution regions is performed with a weak imposition of the interface conditions through an interface using a penalty technique.

Keywords

Euler Equation Hybrid Scheme Deterministic Problem Stochastic Mode Stochastic Collocation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Mass Per Pettersson
    • 1
  • Gianluca Iaccarino
    • 2
  • Jan Nordström
    • 3
  1. 1.Uni ResearchBergenNorway
  2. 2.Department of Mechanical Engineering and Institute for Computational and Mathematical EngineeringStanford UniversityStanfordUSA
  3. 3.Department of Mathematics Computational MathematicsLinköping UniversityLinköpingSweden

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