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

Fatma G. Eroglu, Songul Kaya and Leo G. Rebholz

Abstract

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.

JEL Classification: 76D99; 65M60

  1. Funding: U.S. Department of Defense, U.S. Army Research, Development and Engineering Command Army Research Office: 65294-MA; National Science Foundation: DMS 1522191.

    The work of the third author was partially supported by NSF DMS1522191 and U.S. Army Grant 65294-MA.

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Received: 2017-09-29
Revised: 2017-12-13
Accepted: 2017-12-17
Published Online: 2019-09-17
Published in Print: 2019-09-25

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