Direct optimal growth analysis for timesteppers
作者： D. Barkley , H. M. Blackburn , S. J. Sherwin
DOI: 10.1002/FLD.1824
关键词: Flow (mathematics) 、 Iterative method 、 Mathematical optimization 、 Eigenvalues and eigenvectors 、 Analysis of flows 、 Nonlinear system 、 Navier–Stokes equations 、 Mathematics 、 Applied mathematics 、 Computational fluid dynamics 、 Mesh generation
摘要: Methods are described for transient growth analysis of flows with arbitrary geometric complexity, where in particular the flow is not required to vary slowly streamwise direction. Emphasis on capturing global effects arising from localized convective stability streamwise-varying flows. The methods employ 'timestepper's approach' which a nonlinear Navier-Stokes code modified provide evolution operators both forward and adjoint linearized equations. First, underlying mathematical treatment primitive variables presented. Then, details given inner level modifications outer eigenvalue SVD algorithms timestepper's approach. Finally, some examples shown guidance provided practical aspects this type large-scale analysis. Copyright (C) 2008 John Wiley & Sons, Ltd.
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