TVD-SCHEME FOR NUMERICAL SOLUTION OF RADIATION TRANSFER IN P1-APPROXIMATION
A. D. Gadzhiev, D. A. Koshutin, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2013. Вып.2. С. 48-56.
TVD-scheme for numerical solution of radiation transfer in Pi-approximation is considered in terms of a three-point scheme equivalent to the monotonic scheme of the first order in Riemann invariants. The three-point scheme is built by TVD-modification of the basic functions exhibiting the following properties:
1) implicitness, unconditional stability;
2) the first time order of approximation and the second space order of approximation in addition to the isolated extreme points;
3) improved properties as compared to the linear schemes of the second order of space approximation;
4) persistence;
5) multidimensional geometry generalizibility.Keywords: heat radiation transfer, P1-approximation.
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