The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena

The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena
复制标题

DOI：
10.1137/17m1140571
复制
发表时间：
2015-12
期刊：
SIAM J. Sci. Comput.
影响因子：
--
通讯作者：
J. Reiss;P. Schulze;J. Sesterhenn;V. Mehrmann
J. Reiss;P. Schulze;J. Sesterhenn;V. Mehrmann
中科院分区：
其他
文献类型：
--
作者：
J. Reiss;P. Schulze;J. Sesterhenn;V. Mehrmann

文献摘要

被引文献

相似文献

输运主导的现象提供了一个共同的模式为基础的模型降阶方法的挑战。本文提出了一种适用于这类系统的模型降阶方法。它通过引入快照矩阵的时间相关移位扩展了固有正交分解（POD）。该方法被称为移位正交分解（sPOD），其特征在于确定{\it multiple}传输速度并将其分离。一维和二维的测试例子显示了良好的性能的sPOD运输为主的现象和它的优越性相比，POD。
Transport-dominated phenomena provide a challenge for common mode-based model reduction approaches. We present a model reduction method, which is suited for these kind of systems. It extends the proper orthogonal decomposition (POD) by introducing time-dependent shifts of the snapshot matrix. The approach, called shifted proper orthogonal decomposition (sPOD), features a determination of the {\it multiple} transport velocities and a separation of these. One- and two-dimensional test examples reveal the good performance of the sPOD for transport-dominated phenomena and its superiority in comparison to the POD.