A modular regularized variational multiscale proper orthogonal decomposition for incompressible flows

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

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, cilt.325, ss.350-368, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 325
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.cma.2017.07.017
  • Dergi Adı: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.350-368
  • Anahtar Kelimeler: Proper orthogonal decomposition, Projection-based variational multiscale, Reduced order models, Post-processing, TURBULENT CHANNEL FLOW, NAVIER-STOKES EQUATIONS, REDUCED-ORDER MODELS, COHERENT STRUCTURES, EDDY VISCOSITY, DYNAMICS, SYMMETRIES, SIMULATION
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we propose, analyze and test a post-processing implementation of a projection-based variational multiscale (VMS) method with proper orthogonal decomposition (POD) for the incompressible Navier-Stokes equations. The projection-based VMS stabilization is added as a separate post-processing step to the standard POD approximation, and since the stabilization step is completely decoupled, the method can easily be incorporated into existing codes, and stabilization parameters can be tuned independent from the time evolution step. We present a theoretical analysis of the method, and give results for several numerical tests on benchmark problems which both illustrate the theory and show the proposed method's effectiveness. (C) 2017 Elsevier B.V. All rights reserved.