New static flux synthesis model for movable material reactor problems (LWBR Development Program)

Technical Report · Sun Nov 01 04:00:00 EST 1970

OSTI ID:6742126

Yasinsky, J B; Foulke, L R

A new approach to spatial synthesis is developed with emphasis on the dependence of the flux between axial solution points. The standard synthesis approach (as well as all spatial differencing methods used for neutron diffusion problems) assumes that the flux is a piecewise constant function of z. That is, the flux is constant over some axial region about each axial solution point. It is shown that the standard approach leads to nonphysical results for problems where material interfaces (such as control rod interfaces or movable zoned fuel region interfaces) are moved so that they fall between axial solution points. New synthesis methods, based on the use of continuous piecewise polynomials to represent the z dependence of the flux, are shown to result in improved solutions for such movable material problems. This new approach permits material interfaces to fall on or between mesh points. There is no requirement that material interfaces line up with solution points. (NSA 25: 8131)

• Research Organization: Bettis Atomic Power Lab., Pittsburgh, PA (USA)
• DOE Contract Number: AT(11-1)-GEN-14
• OSTI ID: 6742126
• Report Number(s): WAPD-TM-978
• Country of Publication: United States
• Language: English

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