N-vortex problem: Analytical techniques

PK Newton, MF Platzer - Appl. Mech. Rev., 2002 - asmedigitalcollection.asme.org
This book comprises seven chapters, an appendix, a bibliographical section 98 references,
and an index. Exercises are provided at the end of each chapter. The stated goal of the book …

Locomotion of articulated bodies in a perfect fluid

E Kanso, JE Marsden, CW Rowley… - Journal of Nonlinear …, 2005 - Springer
This paper is concerned with modeling the dynamics of N articulated solid bodies
submerged in an ideal fluid. The model is used to analyze the locomotion of aquatic animals …

Vortex dynamics models in flow control problems

B Protas - Nonlinearity, 2008 - iopscience.iop.org
In this article we review the state of the art in the field of control of vortex dynamics. We focus
on problems governed by two-dimensional incompressible Euler equations in domains both …

[图书][B] Mathematical modeling of unsteady inviscid flows

JD Eldredge - 2019 - Springer
In this modern era of ready access to computational resources, both for research and for
instruction, potential flow theory has become somewhat of an endangered species. Though …

An unsteady point vortex method for coupled fluid–solid problems

S Michelin, SG Llewellyn Smith - Theoretical and Computational Fluid …, 2009 - Springer
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 …

Source seeking for two nonholonomic models of fish locomotion

J Cochran, E Kanso, SD Kelly… - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
In this paper, we present a method of locomotion control for underwater vehicles that are
propelled by a periodic deformation of the vehicle body, which is similar to the way a fish …

Swimming on limit cycles with nonholonomic constraints

B Pollard, V Fedonyuk, P Tallapragada - Nonlinear Dynamics, 2019 - Springer
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 …

An aquatic robot propelled by an internal rotor

B Pollard, P Tallapragada - IEEE/ASME Transactions on …, 2016 - ieeexplore.ieee.org
Unmanned aquatic vehicles and robots are of tremendous importance in a variety of
applications. In this paper, we present the model of an underactuated aquatic robot that is …

Vortices on closed surfaces

S Boatto, J Koiller - Geometry, mechanics, and dynamics: the legacy of …, 2015 - Springer
It was recognized, since the seminal papers of Arnold (Ann Inst Grenoble 16: 319–361,
1966) and Ebin-Marsden (Ann Math Ser 2 92 (1): 102–163, 1970), that Euler's equations are …

Motion of a circular cylinder and n point vortices in a perfect fluid

AV Borisov, IS Mamaev, SM Ramodanov - arXiv preprint nlin/0502029, 2005 - arxiv.org
The paper studies the system of a rigid body interacting dynamically with point vortices in a
perfect fluid. For arbitrary value of vortex strengths and circulation around the cylinder the …