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A new hybrid CRWENO-MWENOZ-adaptive moving mesh method for cavitating two-phase compressible fluid flow simulation

Author

Listed:
  • Mohammad Hadi Shafaei

    (School of Mechanical Engineering, Shiraz University, Shiraz 71936-16548, Iran)

  • Mohammad Mehdi Alishahi

    (School of Mechanical Engineering, Shiraz University, Shiraz 71936-16548, Iran)

  • Homayoun Emdad

    (School of Mechanical Engineering, Shiraz University, Shiraz 71936-16548, Iran)

Abstract

In this paper, a high-order hybrid method for solving compressible two-phase fluid flow, including cavitation, is presented. In this regard, assuming pressure and temperature equilibrium, mass and heat transfer between the different phases are modeled. In this work, the CRMWENOZ method, which is a new combination of compact and weighted essentially non-oscillatory (WENO) methods and is more accurate than conventional methods, is presented. The new high-order hybrid method aims to predict the density and the pressure discontinuities in two-phase flow by combining the CRMWENOZ high-order method and an adaptive moving mesh technique. For this purpose, the adaptive moving mesh partial differential equation (MMPDE) method would also improve the accuracy of results by concentrating on the grid nodes in high-gradient regions for transient flows. Applying the CRMWENOZ method alongside MMPDE and using the fifth-order Radau method for time discretization lead to a substantial improvement in the accuracy of simulation, particularly near the liquid–gas interfaces. The accuracy of the proposed hybrid method was compared to other studies’ predictions of one-dimensional (1D) expansion and shock tube problems containing two-phase flow with and without cavitation. The results showed that the hybrid method presented was more accurate than the usual two-phase flow methods while using a reasonable amount of computer resources.

Suggested Citation

  • Mohammad Hadi Shafaei & Mohammad Mehdi Alishahi & Homayoun Emdad, 2023. "A new hybrid CRWENO-MWENOZ-adaptive moving mesh method for cavitating two-phase compressible fluid flow simulation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 34(03), pages 1-20, March.
  • Handle: RePEc:wsi:ijmpcx:v:34:y:2023:i:03:n:s012918312350033x
    DOI: 10.1142/S012918312350033X
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