期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
卷 82, 期 6, 页码 348-371出版社
WILEY
DOI: 10.1002/fld.4221
关键词
dynamic mode decomposition; propagator; unsteady Euler equations; shallow water equations
类别
资金
- RFBR [13-01-0036A, 14-01-00769A]
- Ministry of National Education, Romania [POSDRU/159/1.5/S/137070 (2014)]
- European Social Fund-Investing in People, within the Sectorial Operational Program Human Resources Development
- National Science Foundation (USA) [ATM-0931198]
The approximation of reduced linear evolution operator (propagator) via dynamic mode decomposition (DMD) is addressed for both linear and nonlinear events. The 2D unsteady supersonic underexpanded jet, impinging the flat plate in nonlinear oscillating mode, is used as the first test problem for both modes. Large memory savings for the propagator approximation are demonstrated. Corresponding prospects for the estimation of receptivity and singular vectors are discussed. The shallow water equations are used as the second large-scale test problem. Excellent results are obtained for the proposed optimized DMD method of the shallow water equations when compared with recent POD-based/discrete empirical interpolationbased model reduction results in the literature. Copyright (C) 2016 John Wiley & Sons, Ltd.
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