Geodesic
Solving the Boltzmann equation on GPU
Numerical methods and programming, Tome 11 (2010) no. 1, pp. 144-152

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

The paper describes an implementation of the conservative projection method for solving the Boltzmann equation on GPU. The NVidia CUDA technology is used as a computational platform. Methods for an optimal implementation of a solver for two-dimensional geometry and methods for setting boundary conditions, implementation of the geometry, and storage of integrating grids are developed. The developed approach is used to perform computations for the problem of slow gas flow in a rectangular cavity and the problem of shock wave propagation in a narrow channel. The efficiency of using GPU for the analysis of slow and high-speed flows of rarefied gas is shown.
Keywords: GPU; CUDA; massively-parallel computation; Boltzmann equation; rarefied gas. 
@article{VMP_2010_11_1_a16,
     author = {Yu. Yu. Kloss and F. G. Cheremisin and P. V. Shuvalov},
     title = {Solving the {Boltzmann} equation on {GPU}},
     journal = {Numerical methods and programming},
     pages = {144--152},
     publisher = {mathdoc},
     volume = {11},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2010_11_1_a16/}
}
TY  - JOUR
AU  - Yu. Yu. Kloss
AU  - F. G. Cheremisin
AU  - P. V. Shuvalov
TI  - Solving the Boltzmann equation on GPU
JO  - Numerical methods and programming
PY  - 2010
SP  - 144
EP  - 152
VL  - 11
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMP_2010_11_1_a16/
LA  - ru
ID  - VMP_2010_11_1_a16
ER  - 
%0 Journal Article
%A Yu. Yu. Kloss
%A F. G. Cheremisin
%A P. V. Shuvalov
%T Solving the Boltzmann equation on GPU
%J Numerical methods and programming
%D 2010
%P 144-152
%V 11
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMP_2010_11_1_a16/
%G ru
%F VMP_2010_11_1_a16
Yu. Yu. Kloss; F. G. Cheremisin; P. V. Shuvalov. Solving the Boltzmann equation on GPU. Numerical methods and programming, Tome 11 (2010) no. 1, pp. 144-152. http://geodesic.mathdoc.fr/item/VMP_2010_11_1_a16/