NUMERICAL STUDY OF ACCURACY AND SYMMETRY OF ANGULAR QUADRATURES USED TO APPROXIMATE THE 3D TRANSPORT EQUATION WITH THE METHOD OF DISCRETE ORDINATES FOR KOBAYASHI PROBLEMS
M. P. Pepelyaev
VANT. Ser.: Mat. Mod. Fiz. Proc 2017. Вып.1. С. 46-59.
The paper offers the CBn quadrature to approximate the transport equation in angular variables for the numerical solution with the method of discrete ordinates. This quadrature has the property of symmetry relative to all coordinate axes in contract to the ESn quadrature, which provides symmetry in the XOY plane alone. The principal features of the ESn and CBn quadratures are considered by the example of solving 3D K., Kobayashi benchmarks. Keywords: neutron transport equations, quadrature, approximation in angular variables, formulation of Kobayashi problems, benchmark results, simulations for convergence, asymmetry, integral density of neutron flux, indicating points.
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English
