Journal of Engineering Mathematics
, Volume 26, Issue 1, pp 211230
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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The nonlinear viscousflow problem associated with the heaving motion of a twodimensional floating cylinder is considered. It is formulated as an initialboundaryvalue problem in primitive variables and solved using a finitedifference method based on boundaryfitted coordinates. A fractionalstep 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 10^{3}. 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.
 Title
 Oscillation of a floating body in a viscous fluid
 Journal

Journal of Engineering Mathematics
Volume 26, Issue 1 , pp 211230
 Cover Date
 199202
 DOI
 10.1007/BF00043236
 Print ISSN
 00220833
 Online ISSN
 15732703
 Publisher
 Kluwer Academic Publishers
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 Authors

 Ronald W. Yeung ^{(1)}
 P. Anathakrishnan ^{(1)}
 Author Affiliations

 1. Department of Naval Architecture and Offshore Engineering, University of California at Berkeley, 94720, CA, USA