TVDSCHEME FOR NUMERICAL SOLUTION OF RADIATION TRANSFER IN P1APPROXIMATION
A. D. Gadzhiev, D. A. Koshutin, A. A. Shestakov VANT. Ser.: Mat. Mod. Fiz. Proc 2013. Вып.2. С. 4856.
TVDscheme for numerical solution of radiation transfer in Piapproximation is considered in terms of a threepoint scheme equivalent to the monotonic scheme of the first order in Riemann invariants. The threepoint scheme is built by TVDmodification 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, P1approximation.
