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A Robust and accurate Riemann solver for a compressible two-phase flow model

Author

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  • Kuila, Sahadeb
  • Raja Sekhar, T.
  • Zeidan, D.

Abstract

In this paper we analyze the Riemann problem for the widely used drift-flux two-phase flow model. This analysis introduces the complete information that is attained in the representation of solutions to the Riemann problem. It turns out that the Riemann waves have rarefactions, a contact discontinuity and shocks. Within this respect, an exact Riemann solver is developed to accurately resolve and represent the complete wave structure of the gas-liquid two-phase flows. To verify the solver, a series of test problems selected from the literature are presented including validation against independent numerical simulations where the solution of the Riemann problem is fully numerical. In this framework the governing equations are discretized by finite volume techniques facilitating the application Godunov methods of centred-type. It is shown that both analytical and numerical results demonstrate the broad applicability and robustness of the new exact Riemann solver.

Suggested Citation

  • Kuila, Sahadeb & Raja Sekhar, T. & Zeidan, D., 2015. "A Robust and accurate Riemann solver for a compressible two-phase flow model," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 681-695.
    • Handle: RePEc:eee:apmaco:v:265:y:2015:i:c:p:681-695
    DOI: 10.1016/j.amc.2015.05.086
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    Cited by:

    1. Sueet Millon Sahoo & T. Raja Sekhar & G. P. Raja Sekhar, 2020. "Exact Solutions of Generalized Riemann Problem for Nonhomogeneous Shallow Water Equations," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(3), pages 1225-1237, September.
    2. Minhajul, & Zeidan, D. & Raja Sekhar, T., 2018. "On the wave interactions in the drift-flux equations of two-phase flows," Applied Mathematics and Computation, Elsevier, vol. 327(C), pages 117-131.
    3. Jöns, Steven & Munz, Claus-Dieter, 2023. "Riemann solvers for phase transition in a compressible sharp-interface method," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    4. Minhajul, & Mondal, Rakib, 2023. "Wave interaction in isothermal drift-flux model of two-phase flows," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

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