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RUSSIAN FEDERAL NUCLEAR CENTER -
ALL-RUSSIAN RESEARCH INSTITUTE OF EXPERIMENTAL PHYSICS
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THE APPLICATION OF THE TVD-APPROACH TO THE HEAT TRANSFER EQUATION IN THE Pi-APPROXIMATION
A. S. Vershinskaya, A. D. Gadzhiev, S. A. Grabovenskaya, A. A. Shestakov VANT. Ser.: Mat. Mod. Fiz. Proc 2009. Вып.2. С. 21-36.
Considered here is application of TVD-reconstruction to construct positive and second order scheme to solve the heat transfer equations in P1- approximation. Numerical results for test problems are provided. Keywords: heat transfer, P1-approximation.
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.
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