A granular fluid modeled as a driven system of elastic hard spheres

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A granular fluid modeled as a driven system of elastic hard spheres

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Title: A granular fluid modeled as a driven system of elastic hard spheres
Author: Astillero, Antonio; Santos, Andrés
Abstract: Exploramos la posibilidad de describir las principales propiedades de transporte de un gas granular por medio de un modelo que consiste en esferas duras elásticas bajo la acción de una fuerza de arrastre que imita el enfriamiento inelástico del gas granular. Simulaciones directas de Monte Carlo sobre la ecuación de Boltzmann muestran una buena concordancia entre los resultados para un gas de esferas duras inelásticas y las de un gas de esferas duras elásticas impulsadas en el estado de flujo de cizallamiento simple. Esta equivalencia aproximada entre ambos sistemas se aprovecha para extender los modelos cinéticos conocidos por colisiones elásticas al caso inelástico.We explore the possibility of describing the main transport properties of a granular gas by means of a model consisting of elastic hard spheres under the action of a drag force that mimics the inelastic cooling of the granular gas. Direct Monte Carlo simulations of the Boltzmann equation show a good agreement between the results for a gas of inelastic hard spheres and those for a gas of driven elastic hard spheres in the simple shear flow state. This approximate equivalence between both systems is exploited to extend known kinetic models for elastic collisions to the inelastic case.
Description: Publicado en: The Physics of Complex Systems. New Advances and Perspectives, F. Mallamace and H. E. Stanley, eds. (IOS Press, Amsterdam, 2004), pp. 475-480 DOI: 10.3254/978-1-61499-011-6-475
URI: http://hdl.handle.net/10662/2528
Date: 2003-09


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