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-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1515/jnma-2017-0122
  • Dergi Adı: JOURNAL OF NUMERICAL MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.123-139
  • Anahtar Kelimeler: proper orthogonal decomposition, double-diffusive, reduced order models, PROPER ORTHOGONAL DECOMPOSITION, REDUCED-ORDER MODELS, NATURAL-CONVECTION
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

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.