This article is cited in 5 papers

Towards a stochastic diffusion gas model verification

S. V. Bogomolov, I. G. Gudich

Lomonosov Moscow State University

Abstract: The advantages of the model under consideration are the clear mathematical justification, logical simplicity and flexibility. A stochastic algorithm for CUDA architecture aiming at numerical solution of a 3D problem in a phase space for this model is realized. The validity of conservation laws for the stochastic gas model is shown. The linear and nonlinear problems are compared numerically.

Keywords: Boltzmann equation, Kolmogorov–Fokker–Planck equation, Navier–Stokes equation; random processes, stochastic differential equations with respect to Poisson and Wiener measures, its numerical solution.

Received: 18.06.2012

 English version: Mathematical Models and Computer Simulations, 2014, 6:3, 305–316

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