Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 293, Issue -, Pages 522-541Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2015.05.015
Keywords
Non-intrusive model reduction; Smolyak sparse grid; Taylor series; POD; Navier-Stokes
Funding
- 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/I00405X/1, EP/K003976/1, EP/J002011/1]
- Imperial College High Performance Computing Service
- NSF/CMG [ATM-0931198]
- EPSRC [EP/J002011/1]
- china postdoctoral science foundation [2014M562087]
- EPSRC [EP/J002011/1, EP/I00405X/1, EP/K003976/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/J002011/1, EP/I00405X/1, EP/K003976/1] Funding Source: researchfish
- Natural Environment Research Council [NER/A/S/2003/00595, NE/C51829X/1, NE/C52101X/1] Funding Source: researchfish
Ask authors/readers for more resources
This article presents two new non-intrusive reduced order models based upon proper orthogonal decomposition (POD) for solving the Navier-Stokes equations. The novelty of these methods resides in how the reduced order models are formed, that is, how the coefficients of the POD expansions are calculated. Rather than taking a standard approach of projecting the underlying equations onto the reduced space through a Galerkin projection, here two different techniques are employed. The first method applies a second order Taylor series to calculate the POD coefficients at each time step from the POD coefficients at earlier time steps. The second method uses a Smolyak sparse grid collocation method to calculate the POD coefficients, where again the coefficients at earlier time steps are used as the inputs. The advantage of both approaches are that they are non-intrusive and so do not require modifications to a system code; they are therefore very easy to implement. They also provide accurate solutions for modelling flow problems, and this has been demonstrated by the simulation of flows past a cylinder and within a gyre. It is demonstrated that accuracy relative to the high fidelity model is maintained whilst CPU times are reduced by several orders of magnitude in comparison to high fidelity models. (C) 2015 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available