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Linear and Angular Momentum Invariants in Homogeneous Turbulence

Conference paper
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 4)

Abstract

We discuss the constraints imposed on the evolution of freely-decaying turbulence by the laws of conservation of linear and angular momentum. In particular, we explain the results of recent numerical simulations in terms of angular momentum conservation. These simulations show that, once the turbulence reaches a mature state, with a fully-developed vorticity field, its kinetic energy decays as t-10/7, a result which is consistent with the classical theories of Landau and Kolmogorov, and inconsistent with Markovianised closure models.

Keywords

invariants in turbulence Loitsyansky’s integral angular momentum decaying turbulence Kolmogorov’s decay law 

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Copyright information

© Springer 2008

Authors and Affiliations

  1. 1.Department of EngineeringUniversity of CambridgeCambridgeUK
  2. 2.Department of Computational Science and Engineering, Graduate School of EngineeringNagoya UniversityNagoyaJapan

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