Study of High–Reynolds Number Isotropic Turbulence by Direct Numerical Simulation
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- 1 January 2009
- journal article
- review article
- Published by Annual Reviews in Annual Review of Fluid Mechanics
- Vol. 41 (1), 165-180
- https://doi.org/10.1146/annurev.fluid.010908.165203
Abstract
We review studies of the statistics of isotropic turbulence in an incompressible fluid at high Reynolds numbers using direct numerical simulation (DNS) from the viewpoint of fundamental physics. The Reynolds number achieved by the largest DNS, with 40963 grid points, is comparable with the largest Reynolds number in laboratory experiments. The high-quality DNS data in the inertial subrange and the dissipative range enable the examination of detailed statistics at small scales, such as the normalized energy-dissipation rate, energy and energy-flux spectra, the intermittency of the velocity gradients and increments, scaling exponents, and flow-field structure. We emphasize basic questions of turbulence, universality in the sense of Kolmogorov's theory, and the dependence of the statistics on the Reynolds number and scale.Keywords
This publication has 75 references indexed in Scilit:
- Approach to the 4/5 law in homogeneous isotropic turbulenceJournal of Fluid Mechanics, 2006
- Statistics of Energy Transfer in High-Resolution Direct Numerical Simulation of Turbulence in a Periodic BoxJournal of the Physics Society Japan, 2005
- Anisotropy in turbulent flows and in turbulent transportPhysics Reports, 2005
- Intermittency in the Joint Cascade of Energy and HelicityPhysical Review Letters, 2003
- PDF of velocity fluctuation in turbulence by a statistics based on generalized entropyPhysica A: Statistical Mechanics and its Applications, 2002
- Statistics and structures of pressure in isotropic turbulencePhysics of Fluids, 1999
- Intermittency and relative scaling of subgrid-scale energy dissipation in isotropic turbulencePhysics of Fluids, 1998
- On longitudinal and lateral moment hierarchy in turbulencePhysics of Fluids, 1997
- Structures and structure functions in the inertial range of turbulencePhysics of Fluids, 1997
- High-order velocity structure functions in turbulent shear flowsJournal of Fluid Mechanics, 1984