ON ONE COUNT EFFECT OF UNPHYSICAL WARMING-UP OF THE MATERIAL WHEN MODELLING THERMAL RADIATION TRANSFER
A. I. Bochkov, V. Yu. Rezchikov, V. V. Suchkova
VANT. Ser.: Mat. Mod. Fiz. Proc 2021. Вып.4. С. 41-49.
Many different mesh and numerical effects can appear when solving thermal radiation transfer problems numerically. They are not related to the physics of the processes being modeled and impede correct interpretation of the computation results. The paper considers a computing effect that the authors have not found in scientific publications. This computing effect of not physical (it is not the solution of a system of integro-differential equations for radiation transfer and does not fit the frames of description of a physical process) accelerated warming-up of the material is caused by the combination of two factors: strong anisotropy of the incoming radiation flow in the directions of the particles travel and specific features of some difference schemes of the second order of accuracy. We describe 1D model problem where the computing effect reveals itself demonstrably; the causes why it occurs are found. Several modifications of computational scheme are offered to fight with the revealed effect. They allow getting rid of artefacts in numerical solution almost completely. Keywords: radiation transfer, numerical simulation, computing effect.
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