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OF EXPERIMENTAL PHYSICS
 
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ANALYSIS OF THE ORDER OF NUMERICAL CONVERGENCE OF THE TVD-SCHEME FOR SOLVING THE HEAT TRANSFER EQUATION IN THE P1-APPROXIMATION

A. S. Vershinskaya, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2013. Вып.1. С. 18-33.

We study the order of numerical convergence of two nonlinear difference schemes proposed for solving the heat transfer equation in the P1-approximation. The first scheme is based on a sweep monotonic scheme with first-order invariants. The second scheme is built by TVD-reconstruction of the first scheme using a corresponding monotonic limiter and is formally considered to have the second order of approximation.

Keywords: heat transfer, TVD-scheme P1-approximation.

SIMPLIFIED SOLUTIONS OF FLECK PROBLEMS

V. V. Zavyalov, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2013. Вып.1. С. 45-52.

Analytical solutions for a steady system of equations were given for a spectrum radiation transfer with Fleck conditions. The comparison with numerical computations is given. The temperature of material obtained from numerical computations showed a good agreement with analytic formulae.

Keywords: radiation transfer, Fleck problem.








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