Finite element error analysis of a zeroth order approximate deconvolution model based on a mixed formulation

Carolina Cardoso M., KAYA MERDAN S.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.331, sa.1, ss.669-685, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 331 Sayı: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.jmaa.2006.08.083
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.669-685
  • Anahtar Kelimeler: zeroth order model, deconvolution, approximate deconvolution models, large eddy simulation, LARGE-EDDY SIMULATION
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

A suitable discretization for the Zeroth Order Model in Large Eddy Simulation of turbulent flows is sought. This is a low order model, but its importance lies in the insight that it provides for the analysis of the higher order models actually used in practice by the pioneers Stolz and Adams [N.A. Adams, S. Stolz, On the approximate deconvolution procedure for LES, Phys. Fluids 2 (1999) 1699-1701; N.A. Adams, S. Stolz, Deconvolution methods for subgrid-scale approximation in large eddy simulation, in: B.J. Geurts (Ed.), Modem Simul. Strategies for Turbulent Flow, Edwards, Philadelphia, 2001, pp. 21-44] and others. The higher order models have proven to be of high accuracy. However, stable discretizations of them have proven to be tricky and other stabilizations, such as time relaxation and eddy viscosity, are often added. We propose a discretization based on a mixed variational formulation that gives the correct energy balance. We show it to be unconditionally stable and prove convergence. (C) 2006 Elsevier Inc. All rights reserved.