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Application of a thermodynamically compatible two-phase flow model to the high-resolution simulations of compressible gas-magma flow

Zeidan, D. ; Touma, R. ; Slaouti, A.

International journal for numerical methods in fluids, 2014-10, Vol.76 (5), p.312-330 [Periódico revisado por pares]

Bognor Regis: Blackwell Publishing Ltd

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  • Título:
    Application of a thermodynamically compatible two-phase flow model to the high-resolution simulations of compressible gas-magma flow
  • Autor: Zeidan, D. ; Touma, R. ; Slaouti, A.
  • Assuntos: Computer simulation ; Constitutive relationships ; fragmented magma ; Magma ; Mathematical analysis ; Mathematical models ; Numerical analysis ; numerical simulation ; Rarefaction ; TVD SLIC scheme ; two-phase flows ; velocity non-equilibrium ; volcanic eruption ; Wave propagation
  • É parte de: International journal for numerical methods in fluids, 2014-10, Vol.76 (5), p.312-330
  • Notas: ArticleID:FLD3936
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  • Descrição: SUMMARYThis paper reports on the application and development of a fully hyperbolic and fully conservative two‐phase flow model for the simulation of gas and magma flow within volcanic processes. The model solves a set of mixture conservation equations for the gas and magma two‐phase flow with velocity non‐equilibrium. In this model, the effect of the relative velocity is introduced by a kinetic constitutive equation with other equations for volume and mass fractions of the gas phase. The model is examined numerically by the widely used finite volume Godunov methods of centered‐type. Using the Riemann problem, we numerically simulate wave propagation and the development of shocks and rarefactions in volcanic eruptions. These simulations are of magma fragmentation type where the relative velocity continues to dominate. A series of test cases whose solution contains features relevant to gas–magma mixtures are conducted. In particular, numerical results indicate that the model implementation predicts key features of the relative velocity within volcanic processes without any mathematical or physical simplifications. Simulation results are sharply and accurately provided without any spurious oscillations in all of the flow variables. The numerical methods and results are also compared with other numerical methods available in the literature. It is found that the provided resolutions are more accurate for the considered test cases. Copyright © 2014 John Wiley & Sons, Ltd. This study introduces a well‐defined mathematical model for the relative velocity investigation of two‐phase flows within volcanic processes. The model is used to examine the relative velocity wave propagation and the development of shocks and rarefactions structure within such processes. Well‐developed finite volume methods are applied to solve the governing equations. Numerical simulation of non‐equilibrium phenomena between phases has been conducted and validated. Results show that the model is beneficial for the study of velocity non‐equilibrium of volcanic processes.
  • Editor: Bognor Regis: Blackwell Publishing Ltd
  • Idioma: Inglês
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