THE APPLICATION OF THE TVD-APPROACH TO THE DSn-APPROXIMATION OF HEAT TRANSFER EQUATIONS
A. D. Gadzhiev, V. V. Zavialov, A. A. Shestakov VANT. Ser.: Mat. Mod. Fiz. Proc 2009. Вып.2. С. 37-48.
Described here are two TVD-based schemes for implicit finite-difference equations approximating the non-linear system of time-dependent differential equations. The system consists of spectral integro-differential kinetic equation of photon transfer and energy equation. The suggested schemes allow sweep algorithm to be used. Numerical results for test problems are provided for one-dimensional geometry. Keywords: heat transfer, approach.
|