1. Data-driven correction reduced order models for the quasi-geostrophic equations: a numerical investigation.
- Author
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Mou, Changhong, Liu, Honghu, Wells, David R., and Iliescu, Traian
- Subjects
EQUATIONS ,DATA modeling ,COMPUTER simulation ,ORDER - Abstract
This paper investigates the recently introduced data-driven correction reduced order model (DDC-ROM) in the numerical simulation of the quasi-geostrophic equations. The DDC-ROM uses available data to model the correction term that is generally used to represent the missing information in low-dimensional ROMs. Physical constraints are added to the DDC-ROM to create the constrained data-driven correction reduced order model (CDDC-ROM) in order to further improve its accuracy and stability. Finally, the DDC-ROM and CDDC-ROM are tested on time intervals that are longer than the time interval over which they were trained. The numerical investigation shows that, for low-dimensional ROMs, both the DDC-ROM and CDDC-ROM perform better than the standard Galerkin ROM (G-ROM) and the CDDC-ROM provides the best results. [ABSTRACT FROM AUTHOR]
- Published
- 2020
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