Volume 18, Issue 1, March 2011, Pages 109 - 120
Geometric Realization of the Two-Point Velocity Correlation Tensor for Isotropic Turbulence
Vladimir N. Grebenev*
Institute of Computational Technologies SD RAS, Lavrentjev Ave. 6, Novosibirsk, 630090, Russia,firstname.lastname@example.org
Technische Universität Darmstadt, Petersenstraße 30, Darmstadt 64287, Germany,email@example.com
Vladimir N. Grebenev
Received 19 April 2010, Accepted 12 June 2010, Available Online 7 January 2021.
- 10.1142/S1402925111001192How to use a DOI?
- Homogeneous isotropic turbulence; two-point correlation tensor; Riemannian metric; von Kármán–Howarth equation
A new geometric view of homogeneous isotropic turbulence is contemplated employing the two-point velocity correlation tensor of the velocity fluctuations. We show that this correlation tensor generates a family of pseudo-Riemannian metrics. This enables us to specify the geometry of a singled out Eulerian fluid volume in a statistical sense. We expose the relationship of some geometric constructions with statistical quantities arising in turbulence.
- © 2011 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Vladimir N. Grebenev AU - Martin Oberlack PY - 2021 DA - 2021/01/07 TI - Geometric Realization of the Two-Point Velocity Correlation Tensor for Isotropic Turbulence JO - Journal of Nonlinear Mathematical Physics SP - 109 EP - 120 VL - 18 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925111001192 DO - 10.1142/S1402925111001192 ID - Grebenev2021 ER -