Derivation and Preliminary Verification of Algorithm for Homogenized Flux Reconstruction
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摘要: 对二维极坐标系下平面波展开方法的粗网节块均匀化通量密度重构算法进行了较为详细的理论推导,利用极坐标系形式下的平面波展开形式来获得扩散方程的某种通解形式。初步编程和验证结果表明,该算法及其程序实现在二维栅元级别能够取得合理的计算精度。Abstract: The algorithm of homogenized flux reconstruction based on the plane wave expansion method is derived and programmed in the 2D(Two-dimensional) polar coordinate system. The general solution form suitable for the discrete calculation could be given by using the base expansion functions of plane wave in the diffusion equation. The preliminary programming and verification results show that the algorithm and its program implementation can achieve reasonable accuracy in the 2D lattice level.
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Key words:
- Nodal methods /
- Power recovery /
- Homogenized flux reconstruction /
- Polar
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