Numerical simulation of interactions between Görtler vortices and Tollmien–Schlichting waves

Abstract

The problem of nonlinear development of Gortler vortices and interaction with Tollmien–Schlichting waves is considered within the framework of incompressible Navier–Stokes equations which are solved by a Fourier–Chebyshev spectral method., It is shown that two-dimensional waves can be excited in the flow modulated by Gortler vortices. Owing to nonlinear effects, this interaction further leads to the development of oblique waves with spanwise wavelength equal to the Görtler vortex wavelength. Interaction is also considered of oblique waves with spanwise wavelength twice that of Gortler vortices.