Identifying diagonal element for iterations speedup at numerical solution of heat radiation transport equation in kinetic approximation

V. V. Zaviyalov ; A. A. Shestakov

Matematičeskoe modelirovanie, Tome 22 (2010) no. 2, pp. 93-104.

Résumé

Considered are modification of the algorithm of the method of identifying the diagonal element for iterative solution of implicit finite-differential equations approximating the nonlinear system of nonstationary differential equations consisting of the spectral integro-differential kinetic equation of photon transport and the energy equation. The investigation is conducted by the example of the St-scheme of the discrete ordinate method in plane geometry. Presented are theoretical estimations of iterative convergence rate and an example of a test problem.

Détail

Keywords: time-dependent transport equation, radiative transfer theory, iteration method, finite-difference scheme.

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