Analysis of Model Variance for Ensemble Based Turbulence Modeling

Jiang N., Kaya S., Layton W.

COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, cilt.15, sa.2, ss.173-188, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1515/cmam-2014-0029
  • Dergi Adı: COMPUTATIONAL METHODS IN APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.173-188
  • Anahtar Kelimeler: Ensemble, Leray Regularization, Eddy Viscosity, Turbulence Modeling, LINEAR-SYSTEMS, ALGORITHM
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

This report develops an ensemble or statistical eddy viscosity model. The model is parameterized by an ensemble of solutions of an ensemble-Leray regularization. The combined approach of ensemble time stepping and ensemble eddy viscosity modeling allows direct parametrization of the turbulent viscosity co-efficient. We prove unconditional stability and that the model's solution approaches statistical equilibrium as t -> infinity; the model's variance converges to zero as t -> infinity. The ensemble method is used to interrogate a rotating flow, testing its predictability by computing effiective averaged Lyapunov exponents.