Geodesic
Towards a stochastic diffusion gas model verification
Matematičeskoe modelirovanie, Tome 25 (2013) no. 11, pp. 17-32

Voir la notice de l'article provenant de la source Math-Net.Ru

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, Navier–Stokes equation; random processes, stochastic differential equations with respect to Poisson and Wiener measures, its numerical solution.
Mots-clés : Kolmogorov–Fokker–Planck equation 
@article{MM_2013_25_11_a1,
     author = {S. V. Bogomolov and I. G. Gudich},
     title = {Towards a stochastic diffusion gas model verification},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {17--32},
     publisher = {mathdoc},
     volume = {25},
     number = {11},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2013_25_11_a1/}
}
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S. V. Bogomolov; I. G. Gudich. Towards a stochastic diffusion gas model verification. Matematičeskoe modelirovanie, Tome 25 (2013) no. 11, pp. 17-32. http://geodesic.mathdoc.fr/item/MM_2013_25_11_a1/