POD-ROM for the Darcy-Brinkman equations with double-diffusive convection

Date

2019-09-01

Author

Eroglu, Fatma G.
Kaya Merdan, Songül
Rebholz, Leo G.

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This paper extends proper orthogonal decomposition reduced order modeling to flows governed by double diffusive convection, which models flow driven by two potentials with different rates of diffusion. We propose a reduced model based on proper orthogonal decomposition, present a stability and convergence analyses for it, and give results for numerical tests on a benchmark problem which show it is an effective approach to model reduction in this setting.

Subject Keywords

Computational Mathematics

URI

https://hdl.handle.net/11511/37762

Journal

JOURNAL OF NUMERICAL MATHEMATICS

DOI

https://doi.org/10.1515/jnma-2017-0122

Collections

Department of Mathematics, Article

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Citation Formats

F. G. Eroglu, S. Kaya Merdan, and L. G. Rebholz, “POD-ROM for the Darcy-Brinkman equations with double-diffusive convection,” JOURNAL OF NUMERICAL MATHEMATICS, pp. 123–139, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37762.