Proper Orthogonal Decomposition Method for the Darcy-Brinkman Equations

Date

2018-06-29

Author

Güler Eroğlu, Fatma
Kaya Merdan, Songül

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Double-diffusive convection drives a flow with two potentials that have different diffusion rates. The physical model uses that momentum is forced by both heat and mass transfer, and a Darcy term accounts for the porous boundary. As is the case with all multiphysics flow problems, simulation of the doublediffusive system can be very expensive, and thus practitioners need efficient methods to approximate solutions. One efficient method is reduced order modeling (ROM) using proper orthogonal decomposition (POD). For problems where many similar problem scenarios need tested, e.g. in an engineering design process, this method is highly efficient and has been found to be successful for many different types of flow problems [1-5]. We extend the POD-ROM to flows governed by double diffusive convection. 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

Proper orthogonal decomposition, Double-diffusive, Reduced order models

URI

http://icame.balikesir.edu.tr/ICAME18_Abstract_Book.pdf
https://hdl.handle.net/11511/73966

Collections

Department of Mathematics, Conference / Seminar

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Citation Formats

F. Güler Eroğlu and S. Kaya Merdan, “Proper Orthogonal Decomposition Method for the Darcy-Brinkman Equations,” 2018, Accessed: 00, 2021. [Online]. Available: http://icame.balikesir.edu.tr/ICAME18_Abstract_Book.pdf.