文章基本信息

标题：Interpolatory Galerkin Models for the Navier-Stokes-Equations
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作者：Lorenz Pyta ; Dirk Abel
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2016
卷号：49
期号：8
页码：204-209
DOI：10.1016/j.ifacol.2016.07.442
语种：English
出版社：Elsevier
摘要：AbstractIn this work the framework of deriving interpolatory reduced order models for partial differential equations with use of basis interpolation and a subsequent Galerkin projection from the work in Pyta et al. (2015) is extended. Therefore two new methods are presented. The first method uses Bézier curves to enable a continuous differentiable interpolation. The second method combines the congruence transformation with a new generalized framework of straightforward interpolation and orthogonalizing afterward. Results are shown for an example from practice: a model reduction of the Navier-Stokes-Equations for a two-dimensional cross section of a flat plate, which is actuated by spanwise traveling waves transversal to the incoming inflow.
关键词：KeywordsReduced order modelsBasis interpolationNavier-Stokes-Equations