The Bénard-von Karman vortex shedding instability in the wake of a cylinder is perhaps the best known example of a supercritical Hopf bifurcation in fluid dynamics. However, a simplified physical description that accurately accounts for the saturation amplitude of the instability is still missing. Here we present a simple self-consistent model that provides a clear description of the saturation...

Shape optimization problem for a nonlinear elastic plate governed by von Karman equation is considered. Using material derivative method, sensitivity analysis of the solution to the von Karman system with respect to the variation of the domain is performed and a necessary optimality condition is derived.

The current study examines the feasibility of placing a piezoelectric membrane or &&eel'' in the wake of a blu! body and using the von KaH rmaH n vortex street forming behind the blu! body to induce oscillations in the membrane. The oscillations result in a capacitive buildup in the membrane that provides a voltage source that can be used, for example, to trickle-charge a battery in a remote lo...

Abstract Over the past two decades, there has been much development in discontinuous Galerkin methods for incompressible flows and compressible with a positive Mach number, but almost no attention paid to variable-density at low speeds. This paper presents pressure-based method flow low-Mach number limit. We use pressure correction method, which is simplified by solving mass flux instead of vel...