Commutation error in reduced order modeling of fluid flows
Commutation error in reduced order modeling of fluid flows
复制标题
流体流动降阶建模中的换向误差
DOI：
10.1007/s10444-019-09739-0
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发表时间：
2019
影响因子：
1.7
通讯作者：
Iliescu, Traian
中科院分区：
文献类型：
--
作者：
Koc, Birgul;Mohebujjaman, Muhammad;Mou, Changhong;Iliescu, Traian
For reduced order models (ROMs) of fluid flows, we investigate theoretically and computationally whether differentiation and ROM spatial filtering commute, i.e., whether the commutation error (CE) is nonzero. We study the CE for the Laplacian and two ROM filters: the ROM projection and the ROM differential filter. Furthermore, when the CE is nonzero, we investigate whether it has any significant effect on ROMs that are constructed by using spatial filtering. As numerical tests, we use the Burgers equation with viscositiesν= 10− 1andν= 10− 3and a 2D flow past a circular cylinder at Reynolds numbersRe= 100 andRe= 500. Our investigation (i) measures the size of the CE in these test problems and (ii) shows that the CE has a significant effect on ROM development for high viscosities, but not so much for low viscosities.
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DOI：
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发表时间：
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期刊：
J. Comput. Phys.
影响因子：
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