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


Eroglu F. G. , Kaya S. , Rebholz L. G.

JOURNAL OF NUMERICAL MATHEMATICS, cilt.27, ss.123-139, 2019 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 27
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1515/jnma-2017-0122
  • Dergi Adı: JOURNAL OF NUMERICAL MATHEMATICS
  • Sayfa Sayıları: ss.123-139

Özet

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.