A method is proposed for the study of the two-dimensional coupled motion of a general
sharp-edged solid body and a surrounding inviscid flow. The formation of vorticity at the …

The control and motion planning of bioinspired swimming robots is complicated by the fluid–
robot interaction, which is governed by a very high (infinite)-dimensional nonlinear system …

Two models of seemingly different classes of under actuated bio-inspired robotic systems
are studied in this paper. The first model is that of an aquatic robot that swims like a fish. The …

In this paper we consider the system of an arbitrary two-dimensional cylinder interacting with
point vortices in a perfect fluid. We present the equations of motion and discuss their …

Differential-geometric-control theory represents a mathematically elegant combination of
differential geometry and control theory. Practically, it allows exploitation of nonlinear …

A mathematical model that invokes the Kutta condition to account for vortex shedding from
the trailing edge of a free hydrofoil in a planar ideal fluid is compared with a canonical model …

Diverse mechanisms for animal locomotion in fluids rely on vortex shedding to generate
propulsive forces. This is a complex phenomenon that depends essentially on fluid viscosity …

We derive the equations of motion for a planar rigid body of circular shape moving in a 2D
perfect fluid with point vortices using symplectic reduction by stages. After formulating the …

This paper addresses the problem of the motion of an unbalanced circular foil and point
vortices in an ideal incompressible fluid. Using Bernoulli's theorem for unsteady potential …

This paper considers the dynamics of a rigid body interacting with point vortices in a perfect
fluid. The fluid velocity is obtained using the classical complex variables theory and …