一种针对均匀几何变分节块法的三维准输运加速方法,通过准输运近似处理,消除了二阶偶宇称中子输运方程中轴向与径向的交叉导数项;考虑在实际压水堆中,轴向的不均匀性较弱,本发明在Ritz离散过程中,对轴向表面的奇中子角通量密度的角度分布采用了扩散近似;本发明在Ritz离散过程中,利用角度空间的对称性,减少了径向表面的奇中子角通量密度角度基函数的数量。本发明能够在不显著影响计算精度的情况下大幅提高计算效率、减少计算内存,从而用于核反应堆设计中精确高效的中子学模拟。
A three-dimensional quasi-transport acceleration method for the Heterogeneous variational nodal method eliminates the cross-derivative terms between axial and radial directions in the second-order even-parity neutron transport equation through quasi-transport approximations. Considering the relatively weak axial heterogeneity in practical pressurized water reactors, this invention adopts a diffusion approximation for the angular distribution of odd-neutron angular flux density on axial surfaces during the Ritz discretization process. Moreover, utilizing the symmetry in angle space, this invention reduces the number of angular basis functions for odd-neutron angular flux density on radial surfaces during the Ritz discretization process. This invention significantly improves computational efficiency and reduces memory usage without significantly affecting computational accuracy, making it suitable for precise and efficient neutron physics simulations in nuclear reactor design.