Spanwise continuations/bifurcations

Question: “What happens for as you vary cell width?”
Bifur. with Re

Dissipation rate of a set of equilibria as a function of the spanwise wavenumber.

Equilibrium solutions are robust: they persist for ranges of spanwise and streamwise wavenumbers (inverse cell sizes).

For a fixed Re solutions have preferred wavelengths fixed by the global wall-to-wall separation and boundary shear layer wall units. For small cell sizes equilibria exist only for ranges of cell widths.