ANALYSIS OF SOME SCHEMES FOR SOLVING RADIATION TRANSPORT EQUATIONS USING THE QUASI-DIFFUSION METHOD
S. A. Grabovenskaya, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2011. Вып.4. С. 3-15.
Four schemes for solving heat radiation transport problems using the quail-diffusion method are considered: the ROMB scheme - linear and homogeneous; the TVD scheme - nonlinear, as well as two new schemes - linear and nonhomogeneous. The conditions of stability, positivity and monotony are considered for these schemes. It is shown that in contrast to the earlier used RIMB and TVD schemes, new schemes are positive in the parabolic quasi-diffusion approximation.Keywords: heat radiation transport, quasi-diffusion approximation.
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