Numerical experiments on one-dimensional model of turbulence
- 1 August 1984
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 27 (8) , 1957-1965
- https://doi.org/10.1063/1.864850
Abstract
The initial‐value problem of a forced Burgers equation is numerically solved by the Fourier expansion method. It is found that its solutions finally reach a steady state of ‘‘laminar flow’’ which has no randomness and is stable to disturbances. Hence, strictly speaking, the so‐called Burgers turbulence is not a turbulence. A new one‐dimensional model is proposed to simulate the Navier–Stokes turbulence. A series of numerical experiments on this one‐dimensional turbulence is made and is successful in obtaining Kolmogorov’s k−5/3 inertial‐range spectrum. The (one‐dimensional) Kolmogorov constant ranges from 0.5 to 0.65.Keywords
This publication has 13 references indexed in Scilit:
- Variational approach to the closure problem of turbulence theoryPhysics of Fluids, 1983
- A Forced Burgers Turbulence in the Inviscid LimitJournal of the Physics Society Japan, 1981
- Asymptotic properties of Burgers turbulenceJournal of Fluid Mechanics, 1979
- A numerical study of 2-D turbulenceJournal of Computational Physics, 1977
- Decay of two-dimensional homogeneous turbulenceJournal of Fluid Mechanics, 1974
- Statistical mechanics of the Burgers model of turbulenceJournal of Fluid Mechanics, 1972
- Numerical Simulation of Three-Dimensional Homogeneous Isotropic TurbulencePhysical Review Letters, 1972
- Statistical Initial-Value Problem for Burgers' Model Equation of TurbulencePhysics of Fluids, 1966
- Self-Consistent-Field Approach to Turbulence TheoryPhysics of Fluids, 1965
- A Mathematical Model Illustrating the Theory of TurbulencePublished by Elsevier ,1948