Geodesic
Modified method of splitting with respect to physical processes for solving radiation gas dynamics equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 2, pp. 303-315

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An approach based on a modified splitting method is proposed for solving the radiation gas dynamics equations in the multigroup kinetic approximation. The idea of the approach is that the original system of equations is split using the thermal radiation transfer equation rather than the energy equation. As a result, analytical methods can be used to solve integrodifferential equations and problems can be computed in the multigroup kinetic approximation without iteration with respect to the collision integral or matrix inversion. Moreover, the approach can naturally be extended to multidimensional problems. A high-order accurate difference scheme is constructed using an approximate Godunov solver for the Riemann problem in two-temperature gas dynamics. 
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     author = {N. Ya. Moiseev},
     title = {Modified method of splitting with respect to physical processes for solving radiation gas dynamics equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {303--315},
     publisher = {mathdoc},
     volume = {57},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_2_a7/}
}
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N. Ya. Moiseev. Modified method of splitting with respect to physical processes for solving radiation gas dynamics equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 2, pp. 303-315. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_2_a7/