The mechanism which real flying insects use to detect body rotation has been simulated. The results show that an angular rate sensor can be made based on such a biological mechanism. Two types of biomimetic gyroscopes have been constructed using foils of stainless steel. The first device is connected directly to a compliant cantilever. The second device is placed on a mechanically amplifying fo...

Global existence of weak and strong solutions to the quasi-hydrostatic primitive equations is studied in this paper. This model, that derives from the full non-hydrostatic model for geophysical fluid dynamics in the zero-limit of the aspect ratio, is more realistic than the classical hydrostatic model, since the traditional approximation that consists in neglecting a part of the Coriolis force ...

We demonstrate how the speed of mixing under laminar conditions can be appreciably enhanced in concurrent centrifugal flows through straight, low-aspect-ratio microchannels pointing in radial direction in the plane of rotation. The convective mixing is driven by the inhomogeneous distribution of the velocity-dependent Coriolis pseudo force and the interaction of the soinduced transverse current...

The effect of the Coriolis force on a moving system can be described as a holonomy with respect to a particular connection known as the Cartan–Hannay–Berry connection. The resulting geometric phase is called the Hannay–Berry phase, and it provides direct information about the imposed motion on the system. This approach assumes that the imposed motion is adiabatic. In this paper we describe the ...

Where r is robot, s is subject, p is robot joint angles, q is subject joint angles, I is an inertial matrix, G is a coriolis-centripetal matrix, and E and C are forces actively generated by the robot and subject respectively. Fhandle is a coupling term that represents the force that the robot and subject apply to each other. The active subject torques, called the controller, are governed by bot...

We present an experimental analysis of the effects of gravity level on the formation and rise dynamics of bubbles. Experiments were carried out with millimeter-diameter bubbles in the hypergravity environment provided by the large-diameter centrifuge of the European Space Agency. Bubble detachment from a nozzle is determined by buoyancy and surface tension forces regardless of the gravity level...

Abstract. We are interested here in describing the linear response of the ocean to some wind forcing, which admits fast time oscillations and may be resonant with the Coriolis force. In addition to the usual Ekman layer, we exhibit another much larger boundary layer, and some global vertical profile. That means in particular that the wind effect is no longer localized in the vicinity of the sur...

Some selected concepts for the solar activity cycle are briefly reviewed. Cycle modulations through a stochastic α effect are being identified with limited scale separation ratios. Three-dimensional turbulence simulations with helicity and shear are compared at two different scale separation ratios. In both cases the level of fluctuations shows relatively little variation with the dynamo cycle....

In this work we study Crank-Nicolson Leap-Frog (CNLF) methods with fast slow wave splittings for Navier-Stokes equation plus a Coriolis force term, which is a simplification of geophysical flows. We present a new stabilized CNLF method where the added stabilization completely removes the method’s CFL time step condition. We give a comprehensive stability and error analysis. We prove that for Os...

We develop a new PML formulation for the linearized shallow-water equations including the Coriolis force. The construction process is based on the uncoupling of the velocity components with the depth of water. Then the damping effect is only applied to the propagative modes just as was formerly done by Nataf [1] to the linearized Euler equations to enforce the long-time stability. We assess num...