建立低阶模型的POD方法  

REDUCED ORDER MODELING WITH THE PROPER ORTHOGONAL DECOMPOSITION

作　　者：丁鹏[1] 陶文铨[1] 

机构地区：[1]西安交通大学能源与动力工程学院,陕西西安710049

出　　处：《工程热物理学报》2009年第6期1019-1021,共3页Journal of Engineering Thermophysics

基　　金：国家自然科学基金重点项目(No.50636050)的资助。

摘　　要：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。通过对样本矩阵实施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.

关 键 词：低阶模型 POD 最佳正交分解 

分 类 号：TL421.2[核科学技术—核技术及应用]