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首页> 外文期刊>Journal of Computational Physics >A new approach to three-dimensional neutron transport solution based on the method of characteristics and linear axial approximation
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A new approach to three-dimensional neutron transport solution based on the method of characteristics and linear axial approximation

机译：基于特性和线性轴向近似方法的三维中子传输解决方案的一种新方法

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AbstractA new approach based on the method of characteristics (MOC) is proposed to solve the neutron transport equation. A new three-dimensional (3D) spatial discretization is applied to avoid the instability issue of the transverse leakage iteration of the traditional 2D/1D approach. In this new approach, the axial and radial variables are discretized in two different ways: the linear expansion is performed in the axial direction, then, the 3D solution of the angular flux is transformed to be the planar solution of 2D angular expansion moments, which are solved by the planar MOC sweeping. Based on the boundary and interface continuity conditions, the 2D expansion moment solution is equivalently transformed to be the solution of the axially averaged angular flux. Using the piecewise averaged angular flux at the top and bottom surfaces of 3D meshes, the planes are coupled to give the 3D angular flux distribution. The 3D CMFD linear system is established from the surface net current of every 3D pin-mesh to accelerate the convergence of power iteration. The STREAM code is extended to be capable of handling 3D problems based on the new approach. Several benchmarks are tested to verify its feasibility and accuracy, including the 3D homogeneous benchmarks and heterogeneous benchmarks. The computational sensitivity is discussed. The results show good accuracy in all tests. With the CMFD acceleration, the convergence is stable. In addition, a pin-cell problem with void gap is calculated. This shows the advantage compared to the traditional 2D/1D MOC methods.]]>
机译：<！[cdata [ Abstract 提出了一种基于特性方法（MOC）的新方法来解决中子传输方程。应用了新的三维（3D）空间离散化以避免传统2D / 1D方法的横向泄漏迭代的不稳定问题。在这种新方法中，轴向和径向变量以两种不同的方式离散化：在轴向上执行线性膨胀，然后，将角通量的3D解决方案变换为2D角膨胀时刻的平面溶液，这通过平面MOC扫描解决。基于边界和接口连续性条件，等效地将2D扩展力矩溶液变换为轴向平均角通量的溶液。使用在3D网格的顶部和底表面处的分段平均角通量，平面耦合以提供3D角通量分布。 3D CMFD线性系统是从每个3D引脚网的表面净电流建立的，以加速功率迭代的收敛。流代码扩展到能够基于新方法处理3D问题。测试了几个基准测试以验证其可行性和准确性，包括3D均匀基准和异构基准。讨论了计算灵敏度。结果在所有测试中显示出良好的准确性。通过CMFD加速，收敛性稳定。此外，计算具有空隙间隙的针池问题。这显示了与传统的2D / 1D MOC方法相比的优势。 ]]>

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