充分发展槽道湍流的小波数值分析

A Numerical Study on Fully Developed Turbulent Flows: A Wavelet Analysis

数值计算了高斯子波变换Navier Stokes(N S)方程后得到的积分方程.在利用高斯子波得到的以弯曲度为基本量的无穷域中N S方程的基础上,得到了有界区域内的以弯曲度为基本量的N S方程.将此N S方程看作一个特殊的扩散方程,将压力项与对流项看作是源项,得到一个积分方程.利用特征线法对该方程求解,得到通解.并将所得结果运用于对称槽道湍流和非对称槽道湍流的研究中.将计算与实验所得的平均量与实验结果进行了对比.

A numerical study on fully developed turbulent flows is conducted by solving the integral Navier-Stokes(N-S)equation with Gaussian wavelet transformation.Gaussian wavelet is used to obtain the N-S equation with flexion as a fundamental quantity in an infinite domain.The (N-S) equation with flexion as a fundamental quantity in a finite domain is shown.The integral N-S equation is regarded as a special diffusion equation and the pressure term,convective term are regarded as source terms.The general solution of the integral equation is obtained with the characteristic method.The results are used to the analysis of channel turbulent flows in asymmetric and symmetric channels.A comparison of the calculated mean statistical quantity with the experimental result is made.