A coupled boltzmann and navier-stokes fragmentation model induced by a fluid-particle-spring interaction

Pierre Emmanuel Jabin; Juan Soler

doi:10.1137/080735655

A coupled boltzmann and navier-stokes fragmentation model induced by a fluid-particle-spring interaction

Pierre Emmanuel Jabin, Juan Soler

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

This paper is concerned with the modeling and analysis of the interaction between particles and fluids in particular regarding fragmentation processes. We simplify the model by assuming that the particles are constituted of spheres jointed by springs. Then the aim is to deduce the terms appearing in the Navier-Stokes-type equations for the fluid and the counterpart influence in the Boltzmann system for the particles. The resulting coupled system is analyzed by means of a refined averaging lemma.

Original language	English (US)
Pages (from-to)	1244-1268
Number of pages	25
Journal	Multiscale Modeling and Simulation
Volume	8
Issue number	4
DOIs	https://doi.org/10.1137/080735655
State	Published - 2010

All Science Journal Classification (ASJC) codes

General Chemistry
Modeling and Simulation
Ecological Modeling
General Physics and Astronomy
Computer Science Applications

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10.1137/080735655

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abstract = "This paper is concerned with the modeling and analysis of the interaction between particles and fluids in particular regarding fragmentation processes. We simplify the model by assuming that the particles are constituted of spheres jointed by springs. Then the aim is to deduce the terms appearing in the Navier-Stokes-type equations for the fluid and the counterpart influence in the Boltzmann system for the particles. The resulting coupled system is analyzed by means of a refined averaging lemma.",

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AB - This paper is concerned with the modeling and analysis of the interaction between particles and fluids in particular regarding fragmentation processes. We simplify the model by assuming that the particles are constituted of spheres jointed by springs. Then the aim is to deduce the terms appearing in the Navier-Stokes-type equations for the fluid and the counterpart influence in the Boltzmann system for the particles. The resulting coupled system is analyzed by means of a refined averaging lemma.

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A coupled boltzmann and navier-stokes fragmentation model induced by a fluid-particle-spring interaction

Abstract

All Science Journal Classification (ASJC) codes

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