Impact of the inherent separation of scales in the Navier-Stokes- αβ equations

Tae Yeon Kim, Massimo Cassiani, John D. Albertson, John E. Dolbow, Eliot Fried, Morton E. Gurtin

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We study the effect of the length scales α and β in the Navier-Stokes- αβ equations on the energy spectrum and the alignment between the vorticity and the eigenvectors of the stretching tensor in three-dimensional homogeneous and isotropic turbulent flows in a periodic cubic domain, including the limiting cases of the Navier-Stokes- α and Navier-Stokes equations. A significant increase in the accuracy of the energy spectrum at large wave numbers arises for β<α. The vorticity structures predicted by the Navier-Stokes- αβ equations also improve as β decreases away from α. However, optimal choices for α and β depend not only on the problem of interest but also on the grid resolution.

Original languageBritish English
Article number045307
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume79
Issue number4
DOIs
StatePublished - 1 Apr 2009

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