Formation of Coherent Structures in Kolmogorov Flow with Stratification and Drag
We study a weakly stratified Kolmogorov flow under the effect of a small linear drag. We perform a linear stability analysis of the basic state. We construct the finite dimensional dynamical system deriving from the truncated Fourier mode approximation. Using the Reynolds number as bifurcation parameter we build the corresponding diagram up to Re=100. We observe the coexistence of three coherent structures.
linear stability analysis equilibria bifurcation theory truncated navier-stokes equations