期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 65, 期 3, 页码 362-379出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2012.06.009
关键词
POD reduced order model; 3D flows; Finite element; Unstructured mesh; Numerical simulation
资金
- UK's Natural Environment Research Council [NER/A/S/2003/00595, NE/C52101X/1, NE/C51829X/1]
- Engineering and Physical Sciences Research Council [GR/R60898, EP/100405X/1]
- Imperial College High Performance Computing Service
- Grantham Institute for Climate Change
- Institute of Atmospheric Physics Chinese Academy of Sciences
- NSF/CMG [ATM-0931198]
- National Basic Research Program of China [2012CB417404]
- National Natural Science Foundation [41075064]
- Div Atmospheric & Geospace Sciences
- Directorate For Geosciences [0931198] Funding Source: National Science Foundation
- Engineering and Physical Sciences Research Council [EP/I00405X/1] Funding Source: researchfish
- Natural Environment Research Council [NE/C51829X/1] Funding Source: researchfish
- EPSRC [EP/I00405X/1] Funding Source: UKRI
A new scheme for implementing a reduced order model for complex mesh-based numerical models (e.g. finite element unstructured mesh models), is presented. The matrix and source term vector of the full model are projected onto the reduced bases. The proper orthogonal decomposition (POD) is used to form the reduced bases. The reduced order modeling code is simple to implement even with complex governing equations, discretization methods and nonlinear parameterizations. Importantly, the model order reduction code is independent of the implementation details of the full model code. For nonlinear problems, a perturbation approach is used to help accelerate the matrix equation assembly process based on the assumption that the discretized system of equations has a polynomial representation and can thus be created by a summation of pre-formed matrices. In this paper, by applying the new approach, the POD reduced order model is implemented on an unstructured mesh finite element fluid flow model, and is applied to 3D flows. The error between the full order finite element solution and the reduced order model POD solution is estimated. The feasibility and accuracy of the reduced order model applied to 3D fluid flows are demonstrated. (c) 2012 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据