摘要
By treating eddy viscosity and eddy diffusivity as optimal control parameters, a new method is developed to determine the eddy viscosity, eddy diffusivity and turbulent Prandtl number from first principles without appealing to adjustable empirical constants. The resultant turbulent Prandtl number is compatible with experimental data. This method enables us to estimate the error of Boussinesq’s eddy viscosity (and diffusivity) model and compare various methods of determining eddy transport coefficients.
By treating eddy viscosity and eddy diffusivity as optimal control parameters, a new method is developed to determine the eddy viscosity, eddy diffusivity and turbulent Prandtl number from first principles without appealing to adjustable empirical constants. The resultant turbulent Prandtl number is compatible with experimental data. This method enables us to estimate the error of Boussinesq's eddy viscosity (and diffusivity) model and compare various methods of determining eddy transport coefficients.
基金
Project supported by the National Basic Research Program "Non-linear Science"
the National Natural Science Foundation of China
