超细群共振计算方法研究

Research on Ultra-fine Group Resonance Calculation Method

  • 摘要: 共振计算方法是组件计算程序的关键方法模型之一,对组件计算程序计算精度、几何和材料适用性等均具有决定性的影响。本文对结合丹可夫因子守恒理论和超细群方法的共振计算方法进行研究,该方法将组件问题分解为多个一维圆柱单栅元问题,再针对一维圆柱单栅元问题进行超细群共振计算,最终得到所有共振区的共振自屏截面,在保留超细群方法计算精度高、几何和材料适用性强等特点的同时,有效克服了计算效率低的问题。数值计算结果表明,该方法针对不同几何和材料问题均具有很高的计算精度,且在使用OpenMP并行加速的情况下具有较高的计算效率,具有很好的工程应用前景。

     

    Abstract: Resonance calculation method is one of the key methods in the lattice code. It has a decisive impact on the calculation accuracy, geometrical and material applicability of the lattice code. At present, the resonance calculation methods used in engineering application lattice codes are mostly traditional equivalent theory method or its improved methods. This type of method has the advantages of mature theoretical model and high computational efficiency. However, due to lots of approximations, there are insurmountable shortcomings in terms of computational accuracy and applicability. The lattice codes using this type of method experience a decrease in calculation accuracy when calculating UO2 fuel problems with 235U enrichment exceeding 5%, MOX fuel, metal fuel, and other application scenarios. The ultra-fine group resonance calculation method has the advantages of high calculation accuracy and good applicability, which can effectively overcome various disadvantages of equivalent theory method. The only drawback of ultra-fine group method is that the computational efficiency is low for the complex geometry problem because of huge number of energy groups. Therefore, it’s rarely applied in engineering application lattice codes. In recent years, a new resonance calculation theory based on Dancoff factor conservation has been proposed, such as the global-local coupling method from Xi’an Jiaotong University. The resonance calculation method combining Dancoff factor conservation theory and ultra-fine group method was researched in this paper. This method decomposed the assembly problem into multiple one-dimensional cylindrical isolated pin cell problems based on Dancoff factor conservation principle, then performed ultra-fine group resonance calculation for the one-dimensional cylindrical isolated pin cell problems to obtain the resonance self-shielded cross-sections of all resonance regions. This method retained the advantages of ultra-fine group method about high computational accuracy, strong geometric and material applicability. Meanwhile, it overcame the problem of low computational efficiency for ultra-fine group method. A new pressurized water reactor lattice resonance and transport calculation code was developed, which uses the new method introduced in this paper to treat resonance problem and uses method of characteristics to solve the neutron transport equation. A series of problems were constructed to test this new resonance calculation method. They covered the current and future potential application scenarios of pressurized water reactor. The parameters tested included the infinite multiplication factor, self-shielded cross-section of key resonance nuclides within resonance energy region, pin power distribution, and time consumption. The numerical results indicate that this method has high computational accuracy for problems with different geometries, materials and moderator densities, and has high computational efficiency when using OpenMP parallel acceleration.

     

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