AUTHORS - VANT | VOPROSY ATOMNOY NAUKI I TEKHNIKI

Since 1978
Published in Sarov (Arzamas-16), Nizhegorodskaya oblast

RUSSIAN FEDERAL
NUCLEAR CENTER -

ALL-RUSSIAN RESEARCH INSTITUTE
OF EXPERIMENTAL PHYSICS

Русский |

English

DISCRETE ORDINATE METHOD WITH ARTIFICIAL DISSIPATION (DDAD-SCHEME) FOR NUMERICAL SOLUTION OF NEUTRON TRANSPORT EQUATION

A. D. Gadzhiev, I. A. Kondakov, V. N. Pisarev, O. I. Starodumov, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc. 2003. Вып.4. С. 13-24.

A study is made of discrete ordinate method with artificial dissipation (DDAD-scheme) for solving numerically neutron transport equation in one and two-dimensional geometries. An artificial dissipation is introduced to weaken nonphysical oscillations, appearing when solving transport equation in optically dense media with discrete ordinate method of the second order of accuracy.

DS_n-METHOD WITH ARTIFICIAL DISSIPATION AND DMS-METHOD OF ITERATION ACCELERATION FOR NUMERICAL SOLUTION OF 2D EQUATION OF HEAT RADIATION TRANSPORT IN KINETIC MODEL

A. D. Gadzhiev, V. N. Seleznev, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc. 2003. Вып.4. С. 33-46.

A numerical algorithm for solving 2D equations of heat radiation transport in multigroup kinetic approximation is studied. The algorithm is based on DDAD-scheme, which is a scheme of DS_n-method with artificial dissipation. A method of diagonal matrix segregation (DMS-method) is used to accelerate iterations in solving a transport equations set. The computational data for two model problems are presented.

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