Authors: Piotr J Bandyk Robert F Beck
Publish Date: 2010/12/24
Volume: 70, Issue: 1-3, Pages: 147-163
Abstract
The velocity potential phi is commonly used when solving fluid–body interaction problems The acceleration potential fracpartial phipartial t is a supplementary concept that offers several advantages It increases temporal accuracy when solving largeamplitude motions numerically It also results in better timestepping stability when solving body equations of motion in the timedomain The accelerationpotential formulation requires solving the velocitypotential problem first and in many interesting cases increases accuracy and stability while improving overall computational efficiency This paper reviews various formulations of the acceleration potential found in potentialflow hydrodynamics For brevity only the radiationproblem is considered where waves are due to the motion of the body First the velocitypotential problem is stated including conventions and coordinate systems The form of the rigidbody equations of motions is briefly discussed as well as the coupling to the hydrodynamic problem The various accelerationpotential formulations are reviewed and compared mathematically Analytic and numerical solutions are also evaluated and analyzed The computer simulations include convergence studies and largeamplitude motions Finally conclusions are presented discussing the applicability and advantages of the methods described as well as the general use of the acceleration potential
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