Instabilities in two‐dimensional spatially periodic flows. Part II: Square eddy lattice

摘要: A numerical study is performed on the linear stability of square arrays alternating vortices with emphasis confinement effects and friction. The appearance a global rotation as result instability in strongly confined system consisting four explained terms first unstable mode calculated critical parameter found to be agreement magnetohydrodynamic experiments. existence bicritical points systems more than demonstrated. Stability unbounded treated framework Floquet theory. It that, presence friction, basic flow respect quasiperiodic perturbations generally incommensurable spatial frequencies. This lays foundation for hypothesis about transition turbulence via quasiperiodicity.