ECCOMAS 2024

Computation of low Mach number multiphase flows using five-equation model

  • Bharate, Ghanshyam (Indian Institute of Technology - BOMBAY)
  • MANDAL, JADAV CHANDRA (Indian Institute of Technology Bombay)

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In nature and industry, we often come across both dispersed and resolved-interface types of multiphase flows. It is, therefore, necessary to use a single mathematical model capable of accommodating both types of flows. Recent research has shown that diffused interface models are capable of simulating flow problems involving dispersive multiphase mixtures as well as interfaces separating pure fluids [1]. The five-equation model stands out as the preferred choice among the diffused interface models due to its computational efficiency [1]. For five-equation model, approximate state Riemann solver is found to produce reliable accurate results for a wide variety of complex compressible multiphase flow problems [2]. However, the numerical method is found to suffer from efficiency and accuracy for very subsonic flows in the limit M → 0 [3]. Murrone and Guillard [3] successfully resolved the low Mach number issues by preconditioning the numerical dissipation of the numerical scheme. It has been observed that preconditioned schemes suffer from global cut-off problem and computational time step restriction [4]. We, therefore, propose here a simple cure for low Mach number flow computations by correcting the pressure scaling of the approximate state Riemann solver [2,3]. The numerical test results of a 2D subsonic nozzle problem [3] at different inlet Mach numbers demonstrate that the new scheme is capable of producing accurate low Mach number flow results matching with exact solution. Similarly, numerical results of a dam break problem produced by the new scheme agree well with the experimental results. REFERENCES: [1] Saurel Richard, and Carlos Pantano. Annual Review of Fluid Mechanics. Vol. 50, pp. 105-130, 2018. [2] Murrone Angelo, and Herv´e Guillard. Journal of Computational Physics. Vol. 202, pp. 664-698, 2005. [3] M. Angelo, and H. Guillard, Computers & fluids. Vol. 37, pp. 1209–1224, 2008. [4] Felix Rieper, Journal of Computational Physics .Vol. 230, pp. 5263-5287, 2011.