MESO - MACRO MODELS FOR A HARD SPHERE GAS

Bogomolov, S.V.; Esikova, N.B.; Kuvshinnikov, A.E.

Авторы: Bogomolov S.V., Esikova N.B., Kuvshinnikov A.E.
Сборник: Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2016), M. Papadrakakis, V. Papadopoulos, G. Stefanou, V. Plevris (eds.)
Том: 2
Год издания: 2016
Место издания: European Community on Computational Methods in Applied Sciences (ECCOMAS) Crete Island, Greece Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece
Первая страница: 3121
Последняя страница: 3138
DOI: 10.7712/100016.2020.10386
Аннотация: Keywords: Boltzmann equation, Kolmogorov – Fokker – Planck equation, Navier – Stokes equation; random processes, stochastic differential equations with respect to Poisson andWiener measures, discontinuous particle method. Abstract. Macroscopic system of gas dynamic equations, differing from Navier – Stokes and quasi gas dynamic ones, is derived from a stochastic microscopic model of a hard sphere gas in a phase space. The model is diffusive in velocity space and valid for moderate Knudsen numbers. The main peculiarity of our derivation is more accurate velocity averaging due to analytical solving stochastic differential equations with respect to Wiener measure which describe our original meso model. It is shown at an example of a shock wave front structure that our approach leads to larger than Navier – Stokes front widening that corresponds to reality. The numerical solution is performed by a (well suited to high performance computer applications) special ”discontinuous” particle method.
Добавил в систему: Богомолов Сергей Владимирович

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