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DSn-SCHEME FOR THE 2D KINETIC EQUATION OF RADIATION TRANSPORT IN SPHERICAL COORDINATES

A. I. Bochkov, V. V. Suchkova, A. P. Trubitsyn
VANT. Ser.: Mat. Mod. Fiz. Proc 2011. Вып.2. С. 3-17.

The paper describes the numerical method used to solve the 2D time-dependent kinetic equation of radiation transport in spherical coordinates. The finite-difference approximation to the equation has been built on non-orthogonal quadrangular spatial grids using a scheme with additional relations and is the conservative one. An algorithm has been developed on the base of the sweep scheme to solve the resultant system of grid equations. The scheme testing results are given for a 1D problem with a source.

Keywords: axial symmetry, 2D radiation transport equation, spherical coordinate system, solution scheme.







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