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THE IMPROVED POLYNOMIAL REPRESENTATION FOR DELTA-SHAPED SCATTERING INDICATRICES

A.D. Gadzhiev, S.B. Serov
VANT. Ser.: Mat. Mod. Fiz. Rroc 1990. Вып.1. С. 32-34.

      Basing on the improved polynomial representation for the σ-function, the improved PN-approximation is constructed for high-stretched scattering indicatrices. This problem arises when solving the transport equation with highly anisotropic particle scattering. The improved polynomial representation has a number of advantages over the traditional PN-approximation, the major of them is the positivity property.
      The paper presents formulas of the improved PN-approximation for σ-shaped indicatrices. The PN-approximation is graphically compared with the improved polynomial approximation for the σ-function.



VARIOUS FORMS OF A 3D KINETIC EQUATION IN CURVILINEAR SPHERICAL AND CYLINDRICAL COORDINATES

S.B. Serov
VANT. Ser.: Mat. Mod. Fiz. Rroc 1990. Вып.1. С. 73-75.

      The paper considers various ways of writing a three-dimensional kinetic equation in coordinate systems of the spherical and cylindrical types. It presents a 3D transport equation written in one practically important curvilinear system of coordinates.










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