Compressible two-phase flow modelling based on thermodynamically compatible systems of hyperbolic conservation laws

E. Romenski, D. Drikakis

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

This paper outlines the development of a two-phase flow model based on the theory of thermodynamically compatible systems of hyperbolic conservation laws. The conservative hyperbolic governing equations are numerically implemented in conjunction with the second-order MUSCL method and the GFORCE flux, while for the reduced isentropic model the first-order Godunov method is also derived. Results are presented for the water–air shock tube and water-faucet test problems.
LanguageEnglish
Pages1473-1479
Number of pages7
JournalInternational Journal for Numerical Methods in Fluids
Volume56
Issue number8
DOIs
Publication statusPublished - 18 Feb 2008

Fingerprint

Hyperbolic Systems of Conservation Laws
Compressible Flow
Two-phase Flow
Two phase flow
Conservation
Godunov Method
Water
Shock Tube
Shock tubes
Reduced Model
Hyperbolic Equations
Modeling
Test Problems
Governing equation
Model-based
Fluxes
First-order
Air

Keywords

  • flow modelling
  • hyperbolic conservation
  • MUSCL method
  • first-order Godunov method

Cite this

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title = "Compressible two-phase flow modelling based on thermodynamically compatible systems of hyperbolic conservation laws",
abstract = "This paper outlines the development of a two-phase flow model based on the theory of thermodynamically compatible systems of hyperbolic conservation laws. The conservative hyperbolic governing equations are numerically implemented in conjunction with the second-order MUSCL method and the GFORCE flux, while for the reduced isentropic model the first-order Godunov method is also derived. Results are presented for the water–air shock tube and water-faucet test problems.",
keywords = "flow modelling, hyperbolic conservation, MUSCL method, first-order Godunov method",
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note = "1. Bdzil JB, Menikoff R, Son SF, Kapila AK, Stewart DS. Two-phase modeling of deflagration-to-detonation transition in granular materials: a critical examination of modeling issues. Physics of Fluids 1999; 11(2):378–402. 2. Saurel R, Abgrall R. A multiphase Godunov method for compressible multifluid and multiphase flows. Journal of Computational Physics 1999; 150(2):425–467. 3. Staedke H, Francello G, Worth B, Graf U, Romstedt P, Kumbaro A, Garsia-Cascales J, Paillere H, Deconinck H, Ricchiuto M, Smith B, De Cachard F, Toro EF, Romenski E, Mimouni S. Advanced three-dimensional two-phase flow simulation tools for application to reactor safety. Nuclear Engineering and Design 2005; 235(2–4):379–400. 4. Godunov SK, Romenski E. Elements of Continuum Mechanics and Conservation Laws. Kluwer Academic/Plenum Publishers: New York, 2003. 5. Romensky E. Thermodynamics and hyperbolic systems of balance laws in continuum mechanics. In Godunov Methods: Theory and Applications, Toro EF (ed.). Kluwer Academic/Plenum Publishers: New York, 2001; 745–761. 6. Romenski E, Resnyansky AD, Toro EF. Conservative hyperbolic model for compressible two-phase flow with different phase pressures and temperatures. Quarterly of Applied Mathematics 2007; 65(2):259–279. 7. Toro EF, Titarev VA. MUSTA fluxes for systems of conservation laws. Journal of Computational Physics 2006; 216(2):403–429. 8. Romenski E, Toro EF. Compressible two-phase flows: two-pressure models and numerical methods. Computational Fluid Dynamics Journal 2004; 13(3):403–416. 9. Ransom VH. Numerical benchmark tests. In Multiphase Science and Technology, vol. 3, Hewitt GF, Delhaye JM, Zuber N (eds). Hemisphere: Washington, 1987. 10. Toro EF. Riemann Solvers and Numerical Methods in Fluid Dynamics (2nd edn). Springer: Berlin, 1999. 11. Drikakis D, Rider W. High-Resolution Methods for Incompressible and Low-Speed Flows. Springer: Berlin, 2005. 12. Andrianov N, Saurel R, Warnecke G. A simple method for compressible multiphase mixtures and interfaces. International Journal for Numerical Methods in Fluids 2003; 41(2):109–131.",
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Compressible two-phase flow modelling based on thermodynamically compatible systems of hyperbolic conservation laws. / Romenski, E.; Drikakis, D.

In: International Journal for Numerical Methods in Fluids , Vol. 56, No. 8, 18.02.2008, p. 1473-1479.

Research output: Contribution to journalArticle

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