POD Order Reduction Based on LBM Neutron Diffusion Equation
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摘要: 在反应堆工程的多物理场耦合统一计算中，格子玻尔兹曼方法（LBM）作为一套成熟可靠的方法有着良好的应用前景。然而，其在计算复杂堆芯结构时的计算资源占用仍然是一个亟需解决的问题。为了提升计算效率，减少其对计算资源的需求，本文提出了基于LBM中子扩散方程的本征正交分解（POD）降阶方法。基于LBM中子扩散方程，建立其对应的POD降阶模型，在保证其计算精度的前提下，实现上千倍加速比的计算效果。
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关键词:
- 格子玻尔兹曼方法（LBM） /
- 降阶模型 /
- 本征正交分解（POD）
Abstract: In the unified multi-physics coupling simulation of reactor engineering, the Lattice Boltzmann Method (LBM) has good application prospects as a mature and reliable method. However, the computational resource consumption when calculating complex core structures remains an urgent issue that needs to be addressed. In order to improve computational efficiency and reduce the requirements for computing resources, this paper proposes a proper orthogonal decomposition (POD) reduction method based on the LBM neutron diffusion equation. The corresponding POD reduced-order model for LBM neutron diffusion equation is established, achieving a calculation effect of thousands of times acceleration ratio while ensuring its calculation accuracy. -
图 3 TWIGL基准题NDLBM与POD降阶计算结果的相对误差
Figure 3. Relative Error between NDLBM and POD Reduced-Order Method for TWIGL
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