Table of Contents Author Guidelines Submit a Manuscript
Advances in Mathematical Physics
Volume 2015, Article ID 147125, 7 pages
http://dx.doi.org/10.1155/2015/147125
Research Article

Simultaneous Invariants of Strain and Rotation Rate Tensors and Their Admitted Region

1Institute of Mechanics, Lomonosov Moscow State University, Michurinsky Avenue 1, Moscow 119192, Russia
2Chair of Fluid Mechanics, Universität Siegen, Paul-Bonatz-Straße 9–11, 57068 Siegen, Germany

Received 11 August 2015; Accepted 29 September 2015

Academic Editor: Christian Engstrom

Copyright © 2015 Igor Vigdorovich and Holger Foysi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. L. I. Sedov, Introduction to the Mechanics of a Continuous Medium, Addison-Wesley Publishing Co, New York, NY, USA, 1965.
  2. S. B. Pope, Turbulent Flows, Cambridge University Press, Cambridge, UK, 2000. View at Publisher · View at Google Scholar · View at MathSciNet
  3. D. B. Taulbee, “An improved algebraic Reynolds stress model and corresponding nonlinear stress model,” Physics of Fluids A, vol. 4, no. 11, pp. 2555–2561, 1992. View at Publisher · View at Google Scholar · View at Scopus
  4. T. B. Gatski and C. G. Speziale, “On explicit algebraic stress models for complex turbulent flows,” Journal of Fluid Mechanics, vol. 254, pp. 59–78, 1993. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  5. D. B. Taulbee, J. R. Sonnenmeier, and K. M. Wall, “Stress relation for three-dimensional turbulent flows,” Physics of Fluids, vol. 6, no. 3, pp. 1399–1401, 1994. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  6. S. S. Girimaji, “Fully explicit and self-consistent algebraic Reynolds stress model,” Theoretical and Computational Fluid Dynamics, vol. 8, no. 6, pp. 387–402, 1996. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  7. S. S. Girimaji, “A Galilean invariant explicit algebraic reynolds stress model for turbulent curved flows,” Physics of Fluids, vol. 9, no. 4, pp. 1067–1077, 1997. View at Publisher · View at Google Scholar · View at Scopus
  8. T. Jongen and T. B. Gatski, “General explicit algebraic stress relations and best approximation for three-dimensional flows,” International Journal of Engineering Science, vol. 36, no. 7-8, pp. 739–763, 1998. View at Publisher · View at Google Scholar · View at Scopus
  9. S. Wallin and A. V. Johansson, “An explicit algebraic Reynolds stress model for incompressible and compressible turbulent flows,” Journal of Fluid Mechanics, vol. 403, pp. 89–132, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  10. D. Violeau, “Explicit algebraic Reynolds stresses and scalar fluxes for density-stratified shear flows,” Physics of Fluids, vol. 21, no. 3, Article ID 035103, 2009. View at Publisher · View at Google Scholar · View at Scopus
  11. W. M. J. Lazeroms, G. Brethouwer, S. Wallin, and A. V. Johansson, “An explicit algebraic Reynolds-stress and scalar-flux model for stably stratified flows,” Journal of Fluid Mechanics, vol. 723, pp. 91–125, 2013. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  12. T. S. Lund and E. A. Novikov, Parameterization of Subgrid-Scale Stress by the Velocity Gradient Tensor, Annual Research Briefs, Center for Turbulence Research, 1992.