Chapter 7. Models with Tensor Variables

  1. P. A. Durbin1 and
  2. B. A. Pettersson Reif2

Published Online: 19 AUG 2010

DOI: 10.1002/9780470972076.ch7

Statistical Theory and Modeling for Turbulent Flows, Second Edition, Second Edition

Statistical Theory and Modeling for Turbulent Flows, Second Edition, Second Edition

How to Cite

Durbin, P. A. and Reif, B. A. P. (2010) Models with Tensor Variables, in Statistical Theory and Modeling for Turbulent Flows, Second Edition, Second Edition, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470972076.ch7

Author Information

  1. 1

    Iowa State University, USA

  2. 2

    Norwegian Defence Research Establishment (FFI), Norway

Publication History

  1. Published Online: 19 AUG 2010
  2. Published Print: 8 OCT 2010

ISBN Information

Print ISBN: 9780470689318

Online ISBN: 9780470972076

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Keywords:

  • models with tensor variables;
  • “normal stress anisotropy” - departure of diagonal components of Reynolds stress tensor;
  • anisotropy in all real flows;
  • SMC ability - disequilibrium, between stress and mean rate of strain;
  • closing Reynolds stress transport equation;
  • second-moment transport;
  • SMC models and analytic solutions;
  • kinematic blocking, no redistribution tensor alterations;
  • direct numerical simulation (DNS);
  • Reynolds stress, diffusive term providing numerical stability

Summary

This chapter contains sections titled:

  • Second-moment transport

  • Analytic solutions to SMC models

  • Non-homogeneity

  • Reynolds averaged computation

  • Exercises