Least-squares spectral element solution of incompressible Navier-Stokes equations with adaptive refinement

Ozcelikkale A., SERT C.

JOURNAL OF COMPUTATIONAL PHYSICS, cilt.231, sa.9, ss.3755-3769, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 231 Sayı: 9
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.jcp.2012.01.024
  • Dergi Adı: JOURNAL OF COMPUTATIONAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3755-3769
  • Anahtar Kelimeler: Least-squares, Spectral element method, Incompressible flow, Adaptive refinement, Constrained Approximation Method, MASS-CONSERVATION, FORMULATIONS, FLOWS, MOMENTUM
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Least-squares spectral element solution of steady, two-dimensional, incompressible flows are obtained by approximating velocity, pressure and vorticity variable set on GaussLobatto-Legendre nodes. Constrained Approximation Method is used for h- and p-type nonconforming interfaces of quadrilateral elements. Adaptive solutions are obtained using a posteriori error estimates based on least squares functional and spectral coefficient. Effective use of p-refinement to overcome poor mass conservation drawback of leastsquares formulation and successful use of h- and p-refinement together to solve problems with geometric singularities are demonstrated. Capabilities and limitations of the developed code are presented using Kovasznay flow, flow past a circular cylinder in a channel and backward facing step flow. (C) 2012 Elsevier Inc. All rights reserved.