A Multipole Accelerated Desingularized Method for Computing Nonlinear Wave Forces on Bodies

[+] Author and Article Information
S. M. Scorpio, R. F. Beck

Department of Naval Architecture and Marine Engineering, University of Michigan, Ann Arbor, MI 48103

J. Offshore Mech. Arct. Eng 120(2), 71-76 (May 01, 1998) (6 pages) doi:10.1115/1.2829526 History: Received August 13, 1996; Revised January 08, 1998; Online December 17, 2007


Nonlinear wave forces on offshore structures are investigated. The fluid motion is computed using a Euler-Lagrange time-domain approach. Nonlinear free surface boundary conditions are stepped forward in time using an accurate and stable integration technique. The field equation with mixed boundary conditions that result at each time step are solved at N nodes using a desingularized boundary integral method with multipole acceleration. Multipole accelerated solutions require O(N) computational effort and computer storage, while conventional solvers require O(N2 ) effort and storage for an iterative solution and O(N3 ) effort for direct inversion of the influence matrix. These methods are applied to the three-dimensional problem of wave diffraction by a vertical cylinder.

Copyright © 1998 by The American Society of Mechanical Engineers
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