期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 321, 期 -, 页码 224-241出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2016.05.037
关键词
Projection-based reduced order model (ROM); Proper Orthogonal Decomposition (POD); Compressible flow; Stabilization; Trace minimization; Stiefel manifold
资金
- National Science Foundation [NSF-CMMI-14-35474]
- Div Of Civil, Mechanical, & Manufact Inn
- Directorate For Engineering [1435474] Funding Source: National Science Foundation
For a projection-based reduced order model (ROM) of a fluid flow to be stable and accurate, the dynamics of the truncated subspace must be taken into account. This paper proposes an approach for stabilizing and enhancing projection-based fluid ROMs in which truncated modes are accounted for a priori via a minimal rotation of the projection subspace. Attention is focused on the full non-linear compressible Navier-Stokes equations in specific volume form as a step toward a more general formulation for problems with generic non-linearities. Unlike traditional approaches, no empirical turbulence modeling terms are required, and consistency between the ROM and the Navier-Stokes equation from which the ROM is derived is maintained. Mathematically, the approach is formulated as a trace minimization problem on the Stiefel manifold. The reproductive as well as predictive capabilities of the method are evaluated on several compressible flow problems, including a problem involving laminar flow over an airfoil with a high angle of attack, and a channel-driven cavity flow problem. (C) 2016 Elsevier Inc. All rights reserved.
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