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A DSn-SCHEME FOR THE 3D KINETIC TRANSPORT EQUATION IN SPHERICAL COORDINATES

A. I. Bochkov, V. V. Suchkova
VANT. Ser.: Mat. Mod. Fiz. Proc 2020. Вып.2. С. 3-15.

A scheme for the numerical solution of the 3D time-dependent transport equation written in spherical coordinates is presented. The finite-difference approximation to the equation is performed on spatial 3D regular grids and constructed using a scheme with additional relations, and it is conservative. To solve the resultant system of grid equations, an algorithm has been developed, which is based on the sweep method. Results of the method testing on a model problem are given.

Keywords: 3D transport equation, spherical coordinate system, finite-difference approximation, a system of grid equations, a numerical solution algorithm.








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