SOLUTION OF RADIATION TRANSFER KINETIC EQUATION USING AVERAGED COSINE METHOD
А. S. Egorova, N. G. Karlykhanov
VANT. Ser.: Mat. Mod. Fiz. Proc 2011. Вып.3. С. 29-38.
Suggested here is the method of radiation transfer kinetic equation solution based on initial equation averaging over angle variable. As opposed to quasi-diffusion method, one-step equation with photon direction averaged cosine closure was set up. Difference schemes were constructed in terms of TVD approaches. The limiters of min,mod and Chakravati-Osher types were used taken from n-th times step (linear TVD scheme), as well as from (n + 1)-th step (non-linear TVD scheme). The obtained system of nonlinear algebraic equations was solved with Newton method. The applicability of the method suggested, was tested using solution of a number of method problems.Keywords: radiation transfer, TVD approach, transfer one-step equations with averaged cosines.
|
English
