Mathematics Faculty Books and Book Chapters

Architecture of Approximate Deconvolution Models of Turbulence

Title

Architecture of Approximate Deconvolution Models of Turbulence

Files

Document Type

Book Chapter

Book Title

Quality and Reliability of Large-Eddy Simulations

Editors

Johan Meyers; Bernard Geurts; Pierre Sagaut

Description

This report presents the mathematical foundation of approximate deconvolution LES models together with the model phenomenology downstream of the theory. This mathematical foundation now begins to be complete for the incompressible Navier–Stokes equations. It is built upon averaging, deconvolving and addressing closure so as to obtain the physically correct energy and helicity balances in the LES model. We show how this is determined and how correct energy balance implies correct prediction of turbulent statistics. Interestingly, the approach is simple and thus gives a road map to develop models for more complex turbulent flows. We illustrate this herein for the case of MHD turbulence.

DOI

10.1007/978-1-4020-8578-9_1

ISBN

978-1-4020-8577-2

Publication Date

1-1-2008

Publisher

Springer-Verlag

City

Berlin, Germany

Keywords

Deconvolution, Energy cascade, Helicity, MHD

Disciplines

Mathematics

Comments

ER-COFTAC Series, Volume 12, pp. 3-20