Math Colloquia: Konstantin Matveev (Washington State University): Aero-Hydrodynamics and Dynamics of Air-Assisted Marine Vehicles
Thursday, October 6 2011 at 3:30 PM
Location: TLC 030
ABSTRACT: Higher speeds of fast marine vehicles can be attained by utilizing aerodynamic lift. Drag reduction of slower cargo vessels can be achieved by lubricating their hulls with air layers. Ultra-fast planing multi-hulls (racing boats), wing-in-ground vehicles, power-augmented-ram platforms, and air-cavity ships are examples of marine craft with air assistance. The main technical problem in the development and application of these concepts for marine transportation is to ensure high performance and motion stability in a broad range of operational regimes, including motions in water waves.
Several mathematical models for air-assisted marine vehicle concepts will be discussed. They include the extreme-ground-effect theory, the added-mass strip theory, and the method of hydrodynamic singularities. Peculiarities of dynamics of ground-effect vehicles will be shown. Simulation results will be presented for motions of a hydroplane, including responses to initial perturbations, reactions to wind gusts, and motions in head and following waves. A comparison between modeling and experimental results for steady air cavities on a simplified model hull will be also shown. Video clips of our self-propelled radio-controlled models of amphibious marine craft will be demonstrated.