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A multipole accelerated desingularized method for computing nonlinear wave forces on bodies

Conference ·
OSTI ID:449701
;  [1]
  1. Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Naval Architecture and Marine Engineering

Nonlinear wave forces on offshore structures are investigated. The fluid motion is computed using an 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(N{sup 2}) effort and storage for an iterative solution and O(N{sup 3}) effort for direct inversion of the influence matrix. These methods are applied to the three dimensional problem of wave diffraction by a vertical cylinder.

Sponsoring Organization:
Office of Naval Research, Washington, DC (United States)
OSTI ID:
449701
Report Number(s):
CONF-9606279--; ISBN 0-7918-1490-4
Country of Publication:
United States
Language:
English

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