Direct-Interaction Approximation for a System of Several Interacting Simple Shear Waves
- 1 November 1963
- journal article
- conference paper
- Published by AIP Publishing in Physics of Fluids
- Vol. 6 (11) , 1603-1609
- https://doi.org/10.1063/1.1710994
Abstract
The direct-interaction approximation is applied to the evolution in time of systems of several interacting, inviscid, simple, shear waves whose initial amplitudes have a Gaussian statistical distribution. The results are compared numerically with exact statistical solutions obtained by numerical integration of the equations of motion of the wave amplitudes for a large Gaussian sample of initial conditions. It is found that the direct-interaction results can provide an adequate approximation in cases where both perturbation theory and the quasinormality approximation give physically unacceptable results.Keywords
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