DIFFERENCE SCHEME "URAL" FOR SOLVING A HYPERBOLIC SYSTEM OF P1–EQUATIONS
I. S. Chubareshko, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2019. Вып.3. С. 18-34.
Issues of constructing monotone difference schemes to solve the heat transport equation in the P1–approximation are discussed in many papers. This paper offers a new difference scheme that improves the solution monotonicity while approximating the hyperbolic equation. For this purpose, the technique of constructing dissipative schemes for a system of P1–equations written in Riemann invariants is used. The specific feature of the new scheme is in accounting the Planck function in expressions describing the relationship between the integral mean values of quantities and the values of quantities at nodes of difference intervals. Keywords: a transport equation in the P1-approximation, difference scheme.
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English
