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Conservative Models and Numerical Methods for Compressible Two-Phase Flow

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Abstract

The paper presents the computational framework for solving hyperbolic models for compressible two-phase flow by finite volume methods. A hierarchy of two-phase flow systems of conservation-form equations is formulated, including a general model with different phase velocities, pressures and temperatures; a simplified single temperature model with equal phase temperatures; and an isentropic model. The solution of the governing equations is obtained by the MUSCL-Hancock method in conjunction with the GFORCE and GMUSTA fluxes. Numerical results are presented for the water faucet test case, the Riemann problem with a sonic point and the water-air shock tube test case. The effect of the pressure relaxation rate on the numerical results is also investigated.

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Author notes

  1. Evgeniy Romenski

    Present address: Aerospace Science Department, Fluid Mechanics & Computational Science Group, Cranfield University, Cranfield, MK43 0AL, UK

Authors and Affiliations

  1. Aerospace Science Department, Fluid Mechanics & Computational Science Group, Cranfield University, Cranfield, MK43 0AL, UK

    Dimitris Drikakis

  2. Sobolev Institute of Mathematics, Russian Academy of Sciences, Novosibirsk, Russia

    Evgeniy Romenski

  3. Laboratory of Applied Mathematics, Faculty of Engineering, University of Trento, Trento, 38050, Italy

    Eleuterio Toro

Authors
  1. Evgeniy Romenski
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  2. Dimitris Drikakis
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  3. Eleuterio Toro
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Correspondence to Evgeniy Romenski.

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Romenski, E., Drikakis, D. & Toro, E. Conservative Models and Numerical Methods for Compressible Two-Phase Flow. J Sci Comput 42, 68 (2010). https://doi.org/10.1007/s10915-009-9316-y

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  • DOI: https://doi.org/10.1007/s10915-009-9316-y

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