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A MODIFICATION OF DSn-METHOD A MODIFICATION OF DSn-METHOD A MODIFICATION OF DSn-METHOD

O. S. Shirokovskaya
VANT. Ser.: Mat. Mod. Fiz. Rroc. 1989. Вып.1. С. 24-29.

      A modification of the DSn-method is suggested to solve a transport equation numerically in a sphere geometry. Nonlinear correction is used to specify additional relationships/and quadratic formulae in terms of solution changes within a simple grid interval in a direction space.
      The modification proposed increases greatly the difference solution quality and removes a disadvatage of the DSn-method occurring when particle flows are transferred at great distances. The modification efficiency is confirmed by test calculations.



LD-SCHEME FOR A TRANSPORT EQUATION IN A SPHERE GEOMETRY

E. V. Diyankova, O. S. Shirokovskaya
VANT. Ser.: Mat. Mod. Fiz. Rroc. 1989. Вып.1. С. 40-43.

      An LD-scheme is developed for a transport equation in a sphere geometry, which is then studied numerically and compared to that of the DSn-method. The following advantages of the LD-scheme are revealed: a possibility to reduce the number of cells in a phase space by a factor of 2 or more for each variable while retaining a good solution accuracy and to consider the scheme to be actually monotonous, since the solution oscillation amplitude is very small even on coarse grids of a phase space.










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