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C-007 TECHNIQUE USING MONTE-CARLO METHOD OF COUPLED LINEAR EQUATIONS OF NEUTRON, GAMMA-QUANTUM, ELECTRON AND POSITRON TRANSFER

A. K. Zhitnik, E. N. Donskoy, S. P. Ognev, A. V. Gorbunov, A. N. Zalyalov, N. V. Ivanov, A. G. Mal'kin, V. I. Roslov, T. V. Semenova, A. N. Subbotin
VANT. Ser.: Mat. Mod. Fiz. Proc 2011. Вып.1. С. 3-16.

C-007 technique is described for Monte-Carlo linear problems of consistent transfer of neutrons, gamma-quantum, electrons and positrons.

Keywords: Monte-Carlo method, linear equation of particle
ON "STAGGERED ORDER EFFECT" IN CERTAIN DIFFERENCE SCHEMES FOR 2D AND 3D HEAT CONDUCTIVITY

Yu. A. Bondarenko, A. A. Golubev, A. A. Gorbunov, A. O. Naumov, A. I. Panov
VANT. Ser.: Mat. Mod. Fiz. Proc 2011. Вып.1. С. 3-16.

Shown here is the staggered order effect producing capacity in certain schemes used for 2D and 3D heat conductivity computations. It takes place when temperature difference gradient derived from formulas similar to pressure gradient computational method in Lagrangian difference schemes, is used for approximation of flows across the edges. In point source problems, the main interaction in square and cube grid is diagonal. Described here is the way to avoid the staggered order effect.

Keywords: radiative heat conductivity, temperature difference gradient, regular and irregular grids, test computations.







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