AN ADDITIONAL INTEGRAL EQUATION OF RADIATION TRANSFER
Yu. A. Dement'ev, E. A. Karpovtsev, E. V. Morozova, I.A. Narozhnaya, V. A. Novichikhin, E. N. Tikhomirova, E. I. Ryabov
VANT. Ser.: Mat. Mod. Fiz. Proc 2001. Вып.4. С. 35-41.
The techniques for numerical solution of radiation transfer problems based on the approximation of linear transfer equations used these equations in one of two forms: integro-differential and integral. A new transfer equation is derived from an integro-differential one as a well-known integral transfer equation but with additional geometrical and optical elements. Therefore a new transfer equation is called an additional integral equation of transfer. For a fixed point source this equation describes the distribution of straight-shot quanta energy on a boundary surface and the distribution of the energy removed by a substance within a transfer domain volume. The new equation allows the construction of explicit conservative numerical schemes with sequential independent description of transfer from each grid source.
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