Stochastic subgrid modelling for geophysical and three-dimensional turbulence

Jorgen S. Frederiksen, Vassili Kitsios, Terence J. O'Kane, Meelis J. Zidikheri

Research output: Chapter in Book/Report/Conference proceedingChapter (Book)Researchpeer-review

7 Citations (Scopus)

Abstract

Stochastic modelling and closure-based approaches to the representation of the effects of subgrid turbulence in large eddy simulations (LES) of turbulent fluids are reviewed. The focus is on methods in which the subgrid model is calculated self-consistently from higher resolution benchmark simulations or closures. Eddy viscosity and stochastic backscatter parametrisations are presented for two-dimensional turbulence of barotropic flows, for baroclinic quasi-geostrophic turbulence of the atmosphere and oceans, for atmospheric flows in multi-level primitive equation models and for three-dimensional boundary layer turbulence in channels. The performance of LES with these parametrisations is examined. Subgrid scale parametrisations for the complex problem of inhomogeneous flows over topography are also analysed.

Original languageEnglish
Title of host publicationNonlinear and Stochastic Climate Dynamics
EditorsChristian L E Franzke, Terence J O’Kane
Place of PublicationCambridge UK
PublisherCambridge University Press
Chapter9
Pages241-275
Number of pages35
ISBN (Electronic)9781316339251
ISBN (Print)9781107118140
DOIs
Publication statusPublished - 19 Jan 2017
Externally publishedYes

Cite this

Frederiksen, J. S., Kitsios, V., O'Kane, T. J., & Zidikheri, M. J. (2017). Stochastic subgrid modelling for geophysical and three-dimensional turbulence. In C. L. E. Franzke, & T. J. O’Kane (Eds.), Nonlinear and Stochastic Climate Dynamics (pp. 241-275). Cambridge University Press. https://doi.org/10.1017/9781316339251.010