BERNARD, Florian; IOLLO, Angelo; PUPPO, Gabriella

doi:10.4208/cicp.291013.240314a

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BERNARD, Florian
Politecnico di Torino = Polytechnic of Turin [Polito]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Institut de Mathématiques de Bordeaux [IMB]

IOLLO, Angelo
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Institut de Mathématiques de Bordeaux [IMB]

PUPPO, Gabriella
Universitá degli Studi dell’Insubria = University of Insubria [Varese] [Uninsubria]

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Ce document a été publié dans

Communications in Computational Physics. 2014, vol. 16, p. 956 - 982

Global Science Press

Résumé en anglais

The solution of complex rarefied flows with the BGK equation and the Discrete Velocity Method (DVM) requires a large number of velocity grid points leading to significant computational costs. We propose an adaptive velocity grid approach exploiting the fact that locally in space, the distribution function is supported only by a subset of the global velocity grid. The velocity grid is adapted thanks to criteria based on local temperature, velocity and on the enforcement of mass conservation. Simulations in 1D and 2D are presented for different Knudsen numbers and compared to a global velocity grid BGK solution, showing the computational gain of the proposed approach.< Réduire

Mots clés en anglais

kinetic models

BGK model

Discrete Velocity Method

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A Local Velocity Grid Approach for BGK Equation

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