Development of instability and turbulence in overturning lee waves: the map of different scenarios in Re_Pr space

All-Russian conference on Nonlinear Waves: Theory and New Applications

Yakovenko, S.N.^1

Khristianovich Institute of Theoretical and Applied Mechanics, SB RAS, Novosibirsk, Russia^1

关键词: Boussinesq approximations;    Numerical solution;    Perturbation wavelength;    Scalar equations;    Stratified flows;    Stratified fluid;    Tank experiments;    Transition to turbulence;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/722/1/012048/pdf
DOI  :  10.1088/1742-6596/722/1/012048

来源: IOP

【 摘 要 】

Scenarios of the transition to turbulence in overturning lee waves generated by the two-dimensional obstacle in a stably stratified flow have been explored by visualization of velocity and scalar (density) fields, with analysis of spanwise spectra. The results are obtained by numerical solution of the continuity, Navier-Stokes and scalar equations for stratified fluid with the Boussinesq approximation, for varied Reynolds and Prandtl numbers relating to tank experiments, situations in atmosphere and oceans. Based on the computed data, the dependence of the most unstable perturbation wavelength on Reynolds and Prandtl numbers is derived.