Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

On the application of symmetry methods for turbulence modelling

S. Guenther*, M. Oberlack
Fluid- and Hydromechanics Group, Technische Universität Darmstadt, Petersenstraße 13, 64287 Darmstadt, Germany

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Since the symmetries of fluid motion (scaling of time, scaling of space, translation in time, translation in space, Galilean invariance etc.) are admitted by all statistical quantities of turbulent flows as can be taken from the multi-point equations [1], we can derive conditions for turbulence models so that they capture the proper flow physics. Concerning these constraints we will investigate two-equation models as well as Reynolds stress transport models for their capability to reproduce the new exponential velocity law first derived in Oberlack [1].

Keywords:  Turbulent scaling laws; Lie symmetries; Exponential velocity law; Statistical turbulence models; Model calibration

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