STABLE EXCHANGABLE BOUNDARY CONDITIONS IN THE DIFFUSION-VACUUM MODEL OF THE RADIANT HEAT TRANSFER

A. A. Bazin, G. I. Skidan, B. P. Tikhomirov
VANT. Ser. Mat. Mod. Fiz. Proc 1998. Вып.3. С. 17-23.

      The stability of the method of separate computation by regions is considered for two diffusion and equation integration algorithms. The stability condition is discussed for the algorithm in which a radiation flux is transferred from the diffusion region into the vacuum one and temperature — from the vacuum region into the diffusion one. The conditionlessly stable algorithm for setting up exchangable boundary conditions is given, consisting in one-side flux transmission. Computed data of two model problems having an exact analytical solution are presented.