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A General Class of Commutative Filters for LES in Complex Geometries

✍ Scribed by Oleg V. Vasilyev; Thomas S. Lund; Parviz Moin

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
258 KB
Volume
146
Category
Article
ISSN
0021-9991

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✦ Synopsis

A class of filters for large eddy simulations of turbulent inhomogeneous flows is presented. A general set of rules for constructing discrete filters in complex geometry is given and examples of such filters are presented. With these filters the commutation error between numerical differentiation and filtering can be made arbitrarily small, allowing for derivation of a consistent set of equations for the large scale field. The application of such filters for explicit filtering in large eddy simulations and the issue of boundary conditions for the filtered field are also discussed.

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The paper concerns existence of weak solutions to the equations describing a motion of some non-Newtonian fluids with non-standard growth conditions of the Cauchy stress tensor. Motivated by the fluids of strongly inhomogeneous behavior and having the property of rapid shear thickening, we observe t