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This article is cited in 2 scientific papers (total in 2 papers)
Modified method of splitting with respect to physical processes for solving radiation gas dynamics equations
N. Ya. Moiseev All-Russia Research Institute of Technical Physics, Russian Federal Nuclear Center, Snezhinsk, Chelyabinsk oblast, Russia
Abstract:
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.
Key words:
splitting method, discrete ordinate method, thermal radiation transfer equation, Godunov method, Riemann problem.
Received: 12.05.2015 Revised: 29.03.2016
Citation:
N. Ya. Moiseev, “Modified method of splitting with respect to physical processes for solving radiation gas dynamics equations”, Zh. Vychisl. Mat. Mat. Fiz., 57:2 (2017), 303–315; Comput. Math. Math. Phys., 57:2 (2017), 306–317
Linking options:
https://www.mathnet.ru/eng/zvmmf10523 https://www.mathnet.ru/eng/zvmmf/v57/i2/p303
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