Abstract
Angular discretization is key issue for neutron transport equation (NTE) solving because of its integro-differential form, which strongly affects the accuracy of NTE solving. In this paper, the compact supported linear octahedral wavelet is used for angular discretization, and the transformation mapping relationships between sphere and octahedron are presented in detail. The wavelet-based angular discretization NTE is explicitly provided, which can be directly solved with many space–time discrete schemes. The wavelet-based angular discretization FDM (WAFDM) is developed using second-order upwind finite differential method for spatial discretization. Results of several benchmarks demonstrate that the proposed method has good accuracy and stability for neutron transport calculation, and compared with traditional Sn method, the wavelet-based method can obviously improve the ray effect. Besides, the proposed WAFDM is easy to realize wavelet-based angular discretization, and is an effective support for developing angular-space anisotropic and adaptative discretization scheme to solve NTE numerically.
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