Spatially varying discrete ordinates methods in \(XY\)-geometry. (English) Zbl 0969.65126

Bal, Guillaume

Math. Models Methods Appl. Sci. 10, No. 9, 1277-1303 (2000).

The author treats the classical neutron transport equation on the plane when the domain consists of two squares. The integral formulation of the neutron transport and its solution by the discrete ordinates method are used. The coupling of angular discretizations is considered and the well-posedness of the coupled problem is shown. The main result is that more angular directions are required close to the directions of spatial singularities.

Reviewer: P.B.Dubovski (Moskva)

MSC:

65R20	Numerical methods for integral equations
45K05	Integro-partial differential equations
82D75	Nuclear reactor theory; neutron transport

Keywords:

neutron transport equation; discrete ordinates method; angular discretizations; coupling; spatial singularities

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