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Author:

Kang, Wei (Kang, Wei.) | Zhang, Jiazhong (Zhang, Jiazhong.) | Li, Kailun (Li, Kailun.)

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Scopus CSCD PKU SCOPUS

Abstract:

Nonlinear Galerkin method using POD modes is presented for low-dimensional modeling of the fluid dynamical system. The method splits the complete space spanned by the POD modes satisfying the boundary condition of the flow field into two subspaces-a finite-dimensional one spanned by low-order modes and its complement spanned by high-order modes. Then the interaction nature between the low-order modes and high-order modes is considered via the introduction of approximate inertial manifold. Furthermore, nonlinear Galerkin method using POD modes is chosen to approximate the nonlinear partial differential equations for fluids and reduce the system from infinite dimension to lower dimension. The flow past NACA0012 airfoil at Re=200 and the attack angle of 20° is simulated for low-dimensional modeling analysis to verify the efficiency of the method. The results show that because the effect of high-order modes is taken into account, the present method enables to give an accurate description of the system's dynamic behaviors and preserve the topological structure of the system with fewer modes, compared with conventional POD method.

Keyword:

Approximate inertial manifold Dimension reduction Dynamic system Nonlinearity Proper orthogonal decomposition

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Source :

Hsi-An Chiao Tung Ta Hsueh/Journal of Xi'an Jiaotong University

ISSN: 0253-987X

Year: 2011

Issue: 11

Volume: 45

Cited Count:

WoS CC Cited Count: 5

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

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