Oscillation of a floating body in a viscous fluid

Yeung, Ronald W.; Ananthakrishnan, P.

doi:10.1007/978-94-011-2440-9_15

Cited by 4 publications

(11 citation statements)

References 23 publications

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“…which is used to determine the slip velocity v of the contact line and, for continuity, as well as at a few nodes beneath the contact line on the body [28]. As in the inviscid fluid formulation, the free-surface of a viscous fluid is tracked either in the Lagrangian form Eq.…”

Section: Equations Governing the Viscous-flow Problemmentioning

confidence: 99%

“…The inviscid potential flow problem is solved using a finite-difference method based on boundary-fitted coordinates [1,2,28,29] by which the physical space (x, y, t) and the governing equations are mapped/transformed to a uniform computational space ( , Á ; ) and solved in the latter space. The boundary-fitted coordinates are generated based on the concept of a reference space (˛, ˇ ; T) on which the grid properties related to grid size, orthogonality and smoothness, as to be desired in the physical domain, are specified [20].…”

Section: Finite-difference Solution Of the Nonlinear Inviscid Problemmentioning

confidence: 99%

“…The discretized pressure Poisson equation was solved directly using a Gaussian elimination code developed for banded coefficient matrix in [1]. Further details of the solution methods and algorithms can be found in Ananthakrishnan [2,3,28].…”

Section: Finite-difference Analysis Of the Nonlinear Viscous Problemmentioning

confidence: 99%

“…For quantification of the effects by comparison, we consider here the linear inviscid results obtained for the same problem in Yeung and Seah [26]. For analysis, a finite-difference method based on curvilinear coordinates, developed in [1,2,28], has been used. The solution method has been used to solve a range of free-surface flow problems involving wave-body and wave-vortex interactions as in [1][2][3].…”

Section: Introductionmentioning

confidence: 99%

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Viscosity and nonlinearity effects on the forces and waves generated by a floating twin hull under heave oscillation

Ananthakrishnan

2015

Applied Ocean Research

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Section: Equations Governing the Viscous-flow Problemmentioning

confidence: 99%

Section: Finite-difference Solution Of the Nonlinear Inviscid Problemmentioning

confidence: 99%

Section: Finite-difference Analysis Of the Nonlinear Viscous Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Viscosity and nonlinearity effects on the forces and waves generated by a floating twin hull under heave oscillation

Ananthakrishnan

2015

Applied Ocean Research

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“…Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the Journal of Offshore M echanics and Arctic E ngineering. predicted by inviscid-fluid theoiy [4], The nature of this inviscid and viscous behavior has received some attention [5][6][7][8], even though a complete understanding is yet to be achieved. Elabo rate computations based on Reynolds-Averaged Navier-Stokes (RANS) solver [9] have now gained in popularity, but issues of mesh density, excessive modeling-time prevail.…”

Section: Introductionmentioning

confidence: 99%

Shape Effects on Viscous Damping and Motion of Heaving Cylinders1

Yeung

Jiang

2014

Journal of Offshore Mechanics and Arctic Engineering

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Fluid viscosity is known to influence hydrodynamic forces on a floating body in motion, particularly when the motion amplitude is large and the body is o f bluff shape. While tra ditionally these hydrodynamic force or force coefficients have been predicted by inviscidfluid theory, much recent advances had taken place in the inclusion o f viscous effects. Sophisticated Reynolds-Averaged Navier-Stokes (RANS) software are increasingly popu lar. However, they are often too elaborate fo r a systematic study o f various parameters, geometry or frequency, where many runs with extensive data grid generation are needed. The Free-Surface Random-Vortex Method (FSRVM) developed at UC Berkeley in the early 2000 offers a middle-ground alternative, by which the viscous-fluid motion can be modeled by allowing vorticity generation be either turned on or turned off. The heavily validated FSRVM methodology is applied in this paper to examine how the draft-to-beam ratio and the shaping details o f two-dimensional cylinders can alter the added inertia and viscous damping properties. A collection o f four shapes is studied, varying from rectangles with sharp bilge corners to a reversed-curvature wedge shape. For these shapes, basic hydrodynamic properties are examined, with the effects o f viscosity considered. With the use o f these hydrodynamic coefficients, the motion response o f the cylinders in waves is also investigated. The sources o f viscous damping are clarified.

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A mixed finite–element finite–difference method for nonlinear fluid–structure interaction dynamics. I. Fluid–rigid structure interaction

Xing

Price

Chen

2003

Proc. R. Soc. Lond. A

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A mixed¯nite-element¯nite-di®erence numerical method is developed to calculate nonlinear°uid{solid interaction problems. In this study, the structure is assumed to be rigid with large motion and the°uid°ow is governed by nonlinear, viscous or non-viscous,¯eld equations with nonlinear boundary conditions applied to the free surface and°uid{solid interaction interfaces. A moving coordinate system¯xed at a point in the structure is used to describe the°uid°ow, and for numerical analysis purposes, an arbitrary Lagrangian{Eulerian mesh system is constructed relative to this moving system. This provides a convenient method of overcoming the di±culties of matching°uid meshes with large solid motion. Nonlinear numerical equations describing nonlinear°uid{solid interaction dynamics are derived through a numerical discretization scheme of study. A coupling iteration process is used to solve these numerical equations. A selection of numerical examples illustrates the developed mathematical model and through numerical simulations it is shown that the proposed approach is practical and useful.

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Oscillation of a floating body in a viscous fluid

Cited by 4 publications

References 23 publications

Viscosity and nonlinearity effects on the forces and waves generated by a floating twin hull under heave oscillation

Viscosity and nonlinearity effects on the forces and waves generated by a floating twin hull under heave oscillation

Shape Effects on Viscous Damping and Motion of Heaving Cylinders1

A mixed finite–element finite–difference method for nonlinear fluid–structure interaction dynamics. I. Fluid–rigid structure interaction

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