Geodesic
Development of parallel algorithms for solving the problems of gravitational gas dynamics
Numerical methods and programming, Tome 11 (2010) no. 4, pp. 388-394

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Two difference schemes of the total variation diminishing (TVD) type are proposed for solving the two- and three-dimensional equations of gravitational gas dynamics. The accuracy of these algorithms was certified on a number of test problems: the interaction between a shock wave and a region of low density gas, the formation of a shock wave and a vortex, and the simulation of gas-cloud self-gravity processes. The numerical results show that the proposed difference schemes and the corresponding computer programs allow one to solve problems of gravitational gas dynamics with a sufficient accuracy.
Keywords: mathematical modeling; gas dynamics; graphics processors. 
@article{VMP_2010_11_4_a11,
     author = {B. P. Rybakin and N. I. Shider},
     title = {Development of parallel algorithms for solving the problems of gravitational gas dynamics},
     journal = {Numerical methods and programming},
     pages = {388--394},
     publisher = {mathdoc},
     volume = {11},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2010_11_4_a11/}
}
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B. P. Rybakin; N. I. Shider. Development of parallel algorithms for solving the problems of gravitational gas dynamics. Numerical methods and programming, Tome 11 (2010) no. 4, pp. 388-394. http://geodesic.mathdoc.fr/item/VMP_2010_11_4_a11/