Article

Journal of Engineering Mathematics

, Volume 26, Issue 1, pp 211-230

Oscillation of a floating body in a viscous fluid

  • Ronald W. YeungAffiliated withDepartment of Naval Architecture and Offshore Engineering, University of California at Berkeley
  • , P. AnathakrishnanAffiliated withDepartment of Naval Architecture and Offshore Engineering, University of California at Berkeley

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Abstract

The nonlinear viscous-flow problem associated with the heaving motion of a two-dimensional floating cylinder is considered. It is formulated as an initial-boundary-value problem in primitive variables and solved using a finite-difference method based on boundary-fitted coordinates. A fractional-step procedure is used to advance the solution in time. As a case study, results are obtained for a rectangular cylinder oscillating at a Reynolds number of 103. The nonlinear viscous forces are compared with those of linear potential theory. An assessment on the importance of viscous and nonlinear effects is made. The solution technique is sufficiently robust that extensions to consider other single and coupled modes of motion are possible.