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COMPARATIVE ANALYSIS OF QUASI-DIFFUSION APPROACH AND METHOD OF AVERAGED COSINES FOR SOLVING THE RADIATION TRANSPORT EQUATION

A. S. Isakova, N. G. Karlykhanov
VANT. Ser.: Mat. Mod. Fiz. Proc 2013. Вып.3. С. 16-29.

Properties of the transport equation solutions obtained with the quasi-diffusion method and method of averaged cosines were studied by the example of problems having analytical solutions. It is shown that the method of averaged cosines can give a less accurate result in comparison with the quasi-diffusion method. Basing on the comparative analysis the paper offers to use a combination of the two methods, i.e. at each point of space preference is automatically given to the method providing the highest accuracy of solution.

Keywords: radiation transport, quasi-diffusion, TVD-approach, single transport equations with averaged cosines.







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