Universal right-angle geometric scalar field reconstruction method

Abstract

Provided is a universal right-angle geometric scalar field reconstruction method. The method comprises the steps that 1, an orthogonal basis function is determined according to the primary function type and order needed by a user; 2, a to-be-solved continuous cylindrical geometric scalar field is approximatively expanded according to the orthogonal basis function obtained in the step 1; 3, an underdetermined linear algebraic equation system about an underdetermined coefficient is set up through all known information; 4, on the basis of variable substitution, a least square method is used for solving the underdetermined linear algebraic equation system, the least square solution of the underdetermined linear algebraic equation system is obtained to serve as a scalar field expansion coefficient, the scalar field expansion coefficient is substituted into a scalar field expansion equation, and a continuous scalar field can be obtained; 5, according to the obtained continuous scalar field, designated discrete information of the scalar field is obtained through further discretizing; the undetermined scalar field is expanded through the orthogonal basis function, an expansion function is constructed through variants and orders, the least square method is used for solving, the influence of selection of an expansion basis function on reconstruction precision is effectively reduced, the requirement for the reconstruction condition number is reduced, meanwhile multiple kinds of discrete information can be processed, and the adaptability of the method to different problems is effectively improved.

Description

technical field [0001] The invention relates to the fields of scientific experiments and engineering, in particular to a general reconstruction method of a scalar field of rectangular geometry. Background technique [0002] In scientific experiments and engineering calculations, the following problems are often encountered: only some discrete or partially continuous information of scalar fields can be monitored or calculated, while users often need continuous or other more detailed and comprehensive information. [0003] For example, in the physical calculation of nuclear reactor core, the commonly used nodal block method can only give the integral average value of neutron flux density in the calculation grid (usually a component or a quarter component) and the median value on the boundary surface. The neutron flux density and neutron flux density; while the actual engineering design requires the neutron flux density, neutron flux density and power density of each fuel rod i...

AI Technical Summary

Problems solved by technology

[0002] In scientific experiments and engineering calculations, the following problems are often encountered: only some discrete or partially continuous information of scalar fields can be monitored or calculated, while users often need continuous or other more detailed and comprehensive information

[0003] For example, in the physical calculation of nuclear reactor core, the commonly used nodal block method can only give the integral average value of neutron flux density in the calculation grid (usually a component or a quarter component) and the median value on the boundary surface. The neutron flux density and neutron flux density; but the actual engineering design needs is the neutron flux density, neutron flux density and power density of each fuel rod in the fuel assembly, that is, Pin-by-pin

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