Conservative models and numerical methods for compressible two-phase flow

Evgeniy Romenski, Dimitris Drikakis, Eleuterio Toro

Research output: Contribution to journalArticle

44 Citations (Scopus)

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.
LanguageEnglish
Pages68-95
Number of pages28
JournalJournal of Scientific Computing
Volume42
Issue number1
DOIs
Publication statusPublished - 31 Jan 2010

Fingerprint

Compressible Flow
Two-phase Flow
Two phase flow
Numerical methods
Numerical Methods
Water
Shock Tube
Numerical Results
Phase Velocity
Shock tubes
Phase velocity
Finite volume method
Finite Volume Method
Model
Temperature
Conservation
Governing equation
Cauchy Problem
Fluxes
Air

Keywords

  • hyperbolic conservation laws
  • finite volume method
  • compressible two-phase flow

Cite this

Romenski, Evgeniy ; Drikakis, Dimitris ; Toro, Eleuterio. / Conservative models and numerical methods for compressible two-phase flow. In: Journal of Scientific Computing. 2010 ; Vol. 42, No. 1. pp. 68-95.
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Conservative models and numerical methods for compressible two-phase flow. / Romenski, Evgeniy; Drikakis, Dimitris ; Toro, Eleuterio.

In: Journal of Scientific Computing, Vol. 42, No. 1, 31.01.2010, p. 68-95.

Research output: Contribution to journalArticle

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