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A homogeneous relaxation low Mach number model

Abstract : In the present paper, we investigate a new homogeneous relaxation model describing the behaviour of a two-phase fluid flow in a low Mach number regime, which can be obtained as a low Mach number approximation of the well-known HRM. For this specific model, we derive an equation of state to describe the thermodynamics of the two-phase fluid. We prove some theoretical properties satisfied by the solutions of the model, and provide a well-balanced scheme. To go further, we investigate the instantaneous relaxation regime, and prove the formal convergence of this model towards the low Mach number approximation of the well-known HEM. An asymptotic-preserving scheme is introduced to allow numerical simulations of the coupling between spatial regions with different relaxation characteristic times.
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https://hal.archives-ouvertes.fr/hal-03140592
Contributor : Gloria Faccanoni <>
Submitted on : Saturday, February 13, 2021 - 9:14:53 AM
Last modification on : Thursday, February 18, 2021 - 3:32:01 AM

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  • HAL Id : hal-03140592, version 1

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Gloria Faccanoni, Bérénice Grec, Yohan Penel. A homogeneous relaxation low Mach number model. 2021. ⟨hal-03140592⟩

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