A Nonlinear Simulation Method of 3-D Body Motions in Waves (1st Report)

Tanizawa, Katsuji

doi:10.2534/jjasnaoe1968.1995.178_179

Cited by 99 publications

(98 citation statements)

References 6 publications

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“…The first one is using boundary element method in order to solve instead of with regard to the known new boundary conditions (Vinayan 2009). For determining over the body, Tanizawa equations are used (Tanizawa 1995). As the velocity of the body is known, the acceleration of oscillated body can be derived easily.…”

Section: Calculating Pressure On the Floating Bodymentioning

confidence: 99%

Numerical study of various geometries of breakwaters for the installation of floating wind turbines

Esmaeelpour

Shafaghat

Alamian

et al. 2016

J. nav. arch. mar. engg.

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Section: Calculating Pressure On the Floating Bodymentioning

confidence: 99%

Numerical study of various geometries of breakwaters for the installation of floating wind turbines

Esmaeelpour

Shafaghat

Alamian

et al. 2016

J. nav. arch. mar. engg.

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“…(iv) To resolve the floating body problem, the 'indirect acceleration potential' method (Tanizawa, 1995;Wu and Eatock Taylor, 1996;Kashiwagi, 2000) has been adopted herein. For the heave degree of freedom, the dimensional force F is given by…”

Section: Numerical Modelmentioning

confidence: 99%

Nonlinear loading of a two-dimensional heaving box

Rodriguez

Spinneken

Swan

2016

Journal of Fluids and Structures

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“…Following Guerber et al (2012), instead, we apply the same BIE technique for computing φ t , which satisfies the same field equations. This function has no direct physical interpretation unlike the acceleration potential φ t + 1 2 ∇φ·∇φ, whose gradient is equal to the fluid acceleration dv dt as pointed out by Tanizawa (1995). However, it has the advantage to be also solution of Laplace equation, which makes it computationally efficient to solve.…”

Section: Mathematical Model and Assumptionsmentioning

confidence: 99%

“…The first one follows the method used in Guerber et al (2012) which is based on original works of van Daalen (1993) and Tanizawa (1995). The accelerationẌ is replaced in the Eq.…”

Section: Body Boundary Time Steppingmentioning

confidence: 99%

“…Note that also due to numerical errors, the velocity at the double nodes can be discontinuous. To avoid this discontinuity, Tanizawa's velocity compatibility condition (Tanizawa 1995) is applied to both the velocity and the acceleration vectors. This condition expresses the uniqueness of the velocity vector of the fluid particles x f (t), when expressed in the local basis attached to the solid geometry or in the local basis of the free surface geometry.…”

Section: Treatment Of Intersections Between Body and Free Surfacementioning

confidence: 99%

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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

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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.

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A Nonlinear Simulation Method of 3-D Body Motions in Waves (1st Report)

Abstract: Boo, S. Y. and C. H. Kim (1996): Fully nonlinear diffraction due to a Vertical circular cylinder in a 3-D HOBEM numerical wave tank, Proc. of the 6th Int. Offshore and Polar Eng.

Cited by 99 publications

References 6 publications

Numerical study of various geometries of breakwaters for the installation of floating wind turbines

Numerical study of various geometries of breakwaters for the installation of floating wind turbines

Nonlinear loading of a two-dimensional heaving box

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

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