The Motion of Floating Bodies

Wehausen, John V.

doi:10.1146/annurev.fl.03.010171.001321

Cited by 154 publications

(80 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…In the figure [0, 10.84] in the paper of Andersen and Wuzhou (1985). Vugts experimental results have been digitized thanks to the curves presented in the review of Wehausen (1971). The parameters used to make the coefficients non-dimensional are selected as in Andersen and Wuzhou (1985) (see definitions in the figure).…”

Section: Forced Swaying Motion Of a Rectangular Floating Cylindermentioning

confidence: 99%

Simulation of floating structure dynamics in waves by implicit coupling of a fully non-linear potential flow model and a rigid body motion approach

Dombre

Benoît

Violeau

et al. 2014

J. Ocean Eng. Mar. Energy

View full text Add to dashboard Cite

We demonstrate the accuracy and convergence of a new numerical model solving wave-structure interactions based on the fully non-linear potential flow (FNPF) theory coupled to a rigid body motion approach. This work extends an earlier model proposed by Guerber et al. (Eng Anal Bound Elements 36(7):1151-1163, 2012), restricted to fully submerged structures, by allowing to solve for freely floating bodies on the free surface. Although we are currently extending the model to three dimensions (3D), the work reported here only considers two-dimensional (2D) problems. We first introduce the FNPF model, We then detail the numerical scheme used for coupling the FNPF model to the motion of a floating rigid body. Moreover, we propose a new numerical strategy for advancing the free surface front inspired by symplectic integrators, which achieves a much better performance for energy conservation. The developed algorithm is first applied to forced motion cases, for which analytical and experimental results can be found in the literature and used as benchmarks. The accuracy of the numerical solution for the fluid and applied forces is then discussed for cases with small or large amplitude motion. In the latter case, a preliminary investigation of non-linear effects is performed for the classical application of a semi-circular heaving cylinder, by comparing the computed hydrodynamic force to the experimental measurements of Yamashita (J Soc Nav Arch 141: [61][62][63][64][65][66][67][68][69][70] 1977). In particular, the comparison of the magnitude of the force harmonics, up to the third order, shows the importance of simulating non-linear interactions, which become important as the ratio of the radius of the cylinder over the wavelength increases. In a second set of applications, we assess the model accuracy in dealing with freely floating bodies. As a first test case, we consider the decaying motion of a freely heaving horizontal circular cylinder released from a non-equilibrium position above the free surface. In this more demanding computations, we verify that total energy fluid-plus-body motion is well conserved, which confirms the accuracy of the fluid-structure interaction algorithm. As a second test case, we consider the free motion of a rectangular barge in waves and compute the first-order response amplitude operators.

show abstract

Section: Forced Swaying Motion Of a Rectangular Floating Cylindermentioning

confidence: 99%

Simulation of floating structure dynamics in waves by implicit coupling of a fully non-linear potential flow model and a rigid body motion approach

Dombre

Benoît

Violeau

et al. 2014

J. Ocean Eng. Mar. Energy

View full text Add to dashboard Cite

show abstract

“…This approach gives robust and accurate results for vessels travelling at moderate speeds (Schellin, Chen, Beiersdorf and Maron, 2002). To enable evaluation of ship motions in the time domain, hull force retardation functions are determined from frequency domain radiation coefficients (Wehausen, 1971).…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Verification and validation of ShipMo3D ship motion predictions in the time and frequency domains

McTaggart¹

2011

International Journal of Naval Architecture and Ocean Engineeri

View full text Add to dashboard Cite

show abstract

“…Potential flow theories, based on the assumptions that the flow is inviscid and irrotational, can introduce large errors. They fail to account for viscous damping, flow separation, and vortex generation (Wehausen, 1971).…”

Section: Introductionmentioning

confidence: 99%