将分析湍流拟序结构中的最佳正交分解技术运用到流动和传热问题中,并使用最佳正交分解技术建立了物理问题的低阶模型。通过对样本矩阵实旋最佳正交分解得到一组特征函数。将控制方程采用Galerkin投影的方法投影到基函数所代表的空间上,从而得到原物理问题的低阶模型。计算结果表明,通过POD方法得到的低阶模型可以非常准确,并且快速地得到问题的解。
The POD technique is applied to a set of numerical simulation results to obtain the eigenfunctions that represent the dynamics of the physical problem. The function space is limited to the smallest linear subspace when employing these eigenfunctions as basis functions. The reduced order model is was obtained by projecting the governing equations onto these eigenfunctions. The present algorithm is demonstrated to produce very accurate temperature fields when compared with the exact numerical results, and it is more than 100 times faster than the FVM.