文章基本信息

标题：A POD-based reduced-order finite difference extrapolating model for the non-stationary incompressible Boussinesq equations
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作者：Zhendong Luo
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：272
DOI：10.1186/1687-1847-2014-272
语种：English
出版社：Hindawi Publishing Corporation
摘要：A proper orthogonal decomposition (POD) method is used to establish a POD-based reduced-order finite difference (FD) extrapolating model with fully second-order accuracy for the non-stationary incompressible Boussinesq equations (NSIBEs). The error estimates of the POD-based reduced-order FD solutions obtained from the POD-based reduced-order FD extrapolating model are provided. The algorithm implementation for the POD-based reduced-order FD extrapolating model is given. A numerical experiment shows that the numerical results are consistent with the theoretical conclusions. Moreover, it is shown that the POD-based reduced-order FD extrapolating model is feasible and efficient for finding the numerical solutions for NSIBEs. MSC:76M20, 65M12, 65M15.
关键词：proper orthogonal decomposition ; POD-based reduced-order finite difference extrapolating model ; non-stationary incompressible Boussinesq equations ; error estimate ; numerical simulation