Derivation and Closure of Baer and Nunziato Type Multiphase Models by Averaging a Simple Stochastic Model - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal Year : 2021

Derivation and Closure of Baer and Nunziato Type Multiphase Models by Averaging a Simple Stochastic Model

Abstract

In this article, we show how to derive a multiphase model of Baer and Nunziato type with a simple stochastic model. Baer and Nunziato models are known to be unclosed, namely, they depend on modeling parameters, as interfacial velocity and pressure, and relaxation terms, whose exact expression is still an open question. We prove that with a simple stochastic model, interfacial and relaxation terms are equivalent to the evaluation of an integral, which cannot be explicitly computed in general. However, in different particular case matching with a large range of applications (topology of the bubbles/droplets, or special flow regime conditions), the interfacial and relaxation parameters can be explicitly computed, leading to different models that are either nonlinear versions or slight modifications of previously proposed models. The validity domains of previously proposed models are clarified, and some modeling parameters of the averaged system are linked with the local topology of the flow. Last, we prove that usual properties like entropy dissipation are ensured with the new closures found.
Fichier principal
Vignette du fichier
article.pdf (857 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03209659 , version 1 (27-04-2021)

Identifiers

Cite

Vincent Perrier, Enrique Gutiérrez. Derivation and Closure of Baer and Nunziato Type Multiphase Models by Averaging a Simple Stochastic Model. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2021, 19 (1), pp.401-439. ⟨10.1137/19M1306609⟩. ⟨hal-03209659⟩
139 View
362 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More