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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