A wavelet-based multiresolution approach to large-eddy simulation of turbulence

Authors:
M. de la Llave Plata;R. S. Cant
Affiliations:
Engineering Department, University of Cambridge, Trumpington Street, CB2 1PZ Cambridge, UK;Engineering Department, University of Cambridge, Trumpington Street, CB2 1PZ Cambridge, UK
Venue:
Journal of Computational Physics
Year:
2010

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Abstract

The wavelet-based multiresolution analysis (MRA) technique is used to develop a modelling approach to large-eddy simulation (LES) and its associated subgrid closure problem. The LES equations are derived by projecting the Navier-Stokes (N-S) equations onto a hierarchy of wavelet spaces. A numerical framework is then developed for the solution of the large and the small-scale equations. This is done in one dimension, for the Burgers equation, and in three dimensions, for the N-S problem. The proposed methodology is assessed in a priori tests on an atmospheric turbulent time series and on data from direct numerical simulation. A posteriori (dynamic) tests are also carried out for decaying and force-driven Burgers turbulence.