Numerical Study of the Burgers' Model of Turbulence Based on the Characteristic Functional Formalism
作者： Iwao Hosokawa
DOI: 10.1063/1.1693141
关键词: Probability distribution 、 Formalism (philosophy of mathematics) 、 Physics 、 Gaussian 、 Turbulence 、 Reynolds number 、 Wavenumber 、 Mathematical analysis 、 Covariance function 、 Asymptotic curve 、 General Engineering
摘要: The one‐dimensional Burgers' model of turbulence is investigated by computing the functional integral expression for correlation function, based on Hopf theory statistical hydromechanics, with aid a high‐speed computer. initial probability distribution velocity assumed to be normal zero mean and Gaussian covariance function. manner in which energy decay curve changes under variation Reynolds number R implies existence certain asymptotic R → ∞. values obtained function at some instants indicate that inverse‐square law spectrum holds wavenumber range high R.
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