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On Improving the Predictable Accurac...
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Lee, Michael W.
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On Improving the Predictable Accuracy of Reduced-Order Models for Fluid Flows.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
On Improving the Predictable Accuracy of Reduced-Order Models for Fluid Flows./
作者:
Lee, Michael W.
出版者:
Ann Arbor : ProQuest Dissertations & Theses, : 2020,
面頁冊數:
154 p.
附註:
Source: Dissertations Abstracts International, Volume: 81-12.
Contained By:
Dissertations Abstracts International81-12.
標題:
Mechanical engineering. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=27741982
ISBN:
9798645465926
On Improving the Predictable Accuracy of Reduced-Order Models for Fluid Flows.
Lee, Michael W.
On Improving the Predictable Accuracy of Reduced-Order Models for Fluid Flows.
- Ann Arbor : ProQuest Dissertations & Theses, 2020 - 154 p.
Source: Dissertations Abstracts International, Volume: 81-12.
Thesis (Ph.D.)--Duke University, 2020.
This item must not be sold to any third party vendors.
The proper orthogonal decomposition (POD) is a classic method to construct empirical, linear modal bases which are optimal in a mean L2 sense. A subset of these modes can form the basis of a dynamical reduced-order model (ROM) of a physical system, including nonlinear, chaotic systems like fluid flows. While these POD-based ROMs can accurately simulate complex fluid dynamics, a priori model accuracy and stability estimates are unreliable. The work presented in this dissertation focuses on improving the predictability and accuracy of POD-based fluid ROMs. This is accomplished by ensuring several kinematically significant flow characteristics - both at large scales and small - are satisfied within the truncated bases. Several new methods of constructing and employing modal bases within this context are developed and tested. Reduced-order models of periodic flows are shown to be predictably accurate with high confidence; the predictable accuracy of quasi-periodic and chaotic fluid flow ROMs is increased significantly relative to existing approaches.
ISBN: 9798645465926Subjects--Topical Terms:
649730
Mechanical engineering.
Subjects--Index Terms:
Nonlinear dynamics
On Improving the Predictable Accuracy of Reduced-Order Models for Fluid Flows.
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The proper orthogonal decomposition (POD) is a classic method to construct empirical, linear modal bases which are optimal in a mean L2 sense. A subset of these modes can form the basis of a dynamical reduced-order model (ROM) of a physical system, including nonlinear, chaotic systems like fluid flows. While these POD-based ROMs can accurately simulate complex fluid dynamics, a priori model accuracy and stability estimates are unreliable. The work presented in this dissertation focuses on improving the predictability and accuracy of POD-based fluid ROMs. This is accomplished by ensuring several kinematically significant flow characteristics - both at large scales and small - are satisfied within the truncated bases. Several new methods of constructing and employing modal bases within this context are developed and tested. Reduced-order models of periodic flows are shown to be predictably accurate with high confidence; the predictable accuracy of quasi-periodic and chaotic fluid flow ROMs is increased significantly relative to existing approaches.
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=27741982
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