This article is cited in 1 paper

On convergence acceleration of method of identifying diagonal element for problems of radiativ heat transfer with scattering

V. V. Zaviyalov

Russian Federal Nuclear Center - Zababakhin Institute of Technical Physics (RFNC-VNIITF)

Abstract: The paper presents a method used to identify the diagonal element for the iterative solution of implicit finite-difference equations approximating a non-linear system of nonstationary differential equations — an integro-differential spectral kinetic photon transport equation and energy equation. Two alternatives of the algorithm are investigated using the WDD-scheme in slab geometry as an example. Theoretical convergence estimates and test calculations are provided.

Keywords: radiative heat transfer, iteration method, finite-difference scheme.

UDC: 519.6

Received: 05.03.2012

 English version: Mathematical Models and Computer Simulations, 2013, 5:6, 527–533

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