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COMPARATIVE ANALYSIS OF THE QUASI-DIFFUSION APPROACH AND THE AVERAGED COSINE METHOD FOR SOLVING RADIATION TRANSPORT KINETIC EQUATION IN A SCATTERING AND ABSORBING MEDIUM

A. S. Isakova, N. G. Karlykhanov
VANT. Ser.: Mat. Mod. Fiz. Proc 2014. Вып.2. С. 14-26.

The paper studies the properties of kinetic equation solutions in scattering and absorbing medium on the example of problem calculations with known numerical and (or) analytical solutions using the quasi-diffusion method and the method of averaged cosines. The paper shows that the method of averaged cosines along with the TVD-approach-based difference scheme gives more accurate solutions, especially in layered systems, as compared with the quasi-diffusion method, for which the traditional difference scheme with the second order of accuracy has been built.

Keywords: radiation transport, scattering and absorbing medium, quasi-diffusion, one-moment transport equations with averaged cosines.







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