Efficient method of the transport equation calculation in 2D cylindrical and 3D hexagonal geometries for quasi-diffusion method

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Efficient method for numerical solving of the steady transport equation in x-y-z-geometry has been suggested. The equation is being solved on hexagonal mesh, reflecting real structure of the reactor active zone cross-section. Method of characteristics is used, that inherits all the outcomes from the two-dimensional r-z-geometry calculation. Two variants of the method of characteristics have been applied for solving the transport equation in a cell: method of short characteristics and its conservative modification. It has been confirmed that in three-dimensional geometry conservative method has advantage over pure characteristic and it produces highly accurate solution, especially for quasi-diffusion tensor components.

Keywords: transport equation, quasi-diffusion method, conservative methods
Citation in English: Aristova E.N., Baydin D.F. Efficient method of the transport equation calculation in 2D cylindrical and 3D hexagonal geometries for quasi-diffusion method // Computer Research and Modeling, 2011, vol. 3, no. 3, pp. 279-286

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