COMPUTATIONAL PHOTONS METHOD. 1. APPROXIMATE EQUATIONS, COMPUTATIONAL SCHEME

E.G. Vasina, Yu.A. Dementiev, I.D. Sоfrоnov
VANT. Ser.: Mat. Mod. Fiz. Proc 1993. Вып.3. С. 54-58.

      The method is intended for 3-D nonstationary radiant energy transport calculations including isentropic scattering, absorption and equilibrium radiation. Strict restrictions are introduced for the fixed time-step size and typical photon path lengths within the fixed all of a spatial grid. These allow to oatoh physical process and mesh distributions. The well known physical relations (Bouguer and Kirckhoff laws. Shauder principle, Lambert´s cosine law for surface radiation) are used to derive approximate equations. The approximation accuracy is studied for the corresponding integrodlfferential equations. The scheme and approximate solution properties are discussed.