A Source Point Distribution Scheme for Wave-Body Interaction Problem

A two-dimensional linear wave-body interaction problem can be solved using a desingularized integral method by placing free surface Rankine sources over calm water surface and satisfying boundary conditions at prescribed collocation points on the
calm water surface. A new free-surface Rankine source distribution scheme, determined by the intersection points of free surface and body surface, is developed to reduce numerical computation cost. Associated with this, a new treatment is given to the intersection point. The present scheme results are in good agreement with traditional numerical results and measurements.





References:
[1] T. Lee, Nonlinear radiation problems for a surface-piercing body, Phd thesis, University of Michigan, 1992.
[2] R. Beck, Y. Cao, and T. Lee, Fully nonlinear water wave computations using the desingularized method, Proceeding of the Sixth International Conference on Numerical Ship Hydrodynamics, 1994.
[3] S. Scorpio, Fully nonlinear ship-wave computations using a multipole accelerated, desingularized method, PhD thesis, University of Michigan, 1997.
[4] R. Beck, Time-domain computations for floating bodies, Applied ocean research 16(5), 267-282,1994.
[5] P. Finn, Large amplitude nonlinear seakeeping using a desingularized method, PhD thesis, University of Michigan, 2003.
[6] T. Lee, fully nonlinear wave computations for arbitrary oating bodies using the delta method, Journal of Hydrodynamics, 15(002), 24-31, 2003.
[7] X. Zhang, and R. Beck, 2-d body-exact computations in the time domain, Proceeding of 21st International Workshop on Water Waves and Floating Bodies, 197-200, 2006.
[8] P. Bandy, A body-exact strip theory approach to ship motion computations, Phd thesis, University of Michigan, 2009.
[9] J. Vugts, The hydrodynamic coefficients for swaying, heaving and rolling cylinders in a free surface, International Shipbuilding progress, 251-275, 1968.
[10] X. Zhang, Large amplitude ship motion computations using a time dependent body geometry, PhD thesis, University of Michigan, 2007.