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Multiscale turbulence models based on convected fluid microstructure
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Title: | Multiscale turbulence models based on convected fluid microstructure |
Authors: | Holm, DD Tronci, C |
Item Type: | Journal Article |
Abstract: | The Euler-Poincaré approach to complex fluids is used to derive multiscale equations for computationally modeling Euler flows as a basis for modeling turbulence. The model is based on a kinematic sweeping ansatz (KSA) which assumes that the mean fluid flow serves as a Lagrangian frame of motion for the fluctuation dynamics. Thus, we regard the motion of a fluid parcel on the computationally resolvable length scales as a moving Lagrange coordinate for the fluctuating (zero-mean) motion of fluid parcels at the unresolved scales. Even in the simplest two-scale version on which we concentrate here, the contributions of the fluctuating motion under the KSA to the mean motion yields a system of equations that extends known results and appears to be suitable for modeling nonlinear backscatter (energy transfer from smaller to larger scales) in turbulence using multiscale methods. |
Issue Date: | 1-Nov-2012 |
Date of Acceptance: | 31-Aug-2012 |
URI: | http://hdl.handle.net/10044/1/66544 |
DOI: | https://dx.doi.org/10.1063/1.4754114 |
ISSN: | 1089-7658 |
Publisher: | AIP Publishing |
Journal / Book Title: | Journal of Mathematical Physics |
Volume: | 53 |
Issue: | 11 |
Copyright Statement: | © 2012 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Journal of Mathematical Physics and may be found at https://dx.doi.org/10.1063/1.4754114 |
Keywords: | Science & Technology Physical Sciences Physics, Mathematical Physics convection flow simulation fluctuations turbulence LARGE-EDDY SIMULATION CAMASSA-HOLM EQUATIONS SUBGRID-STRESS MODEL FLOW COMPUTATION DYNAMICS physics.flu-dyn math-ph math.MP nlin.CD 01 Mathematical Sciences 02 Physical Sciences Mathematical Physics |
Publication Status: | Published |
Article Number: | 115614 |
Online Publication Date: | 2012-10-12 |
Appears in Collections: | Mathematics Applied Mathematics and Mathematical Physics |