A slender body approach to nonlinear bow waves

Fontaine, E.; Cointe, Raymond

doi:10.1098/rsta.1997.0025

Cited by 11 publications

(15 citation statements)

References 10 publications

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“…This is a drawback of the 2D+T model used in this study. More details about the local flow in the region of the bow can be found in [6,7].…”

Section: Formulation Of Water Entry and Exit Problemsmentioning

confidence: 99%

“…The flow within this plane is assumed twodimensional, which is an acceptable approximation for a three-dimensional body elongated in the direction of its motion. The suitability of this assumption depends on how the vertical sections of the body vary along the length, which is slowly for elongated bodies, with exceptions limited to regions near the very front and back (see [6] and [8] for more details). Within the control plane, z = 0, the 2D flow is caused by the moving contour which corresponds to the intersection curve between the surface of the moving body and the plane z = 0.…”

Section: Formulation Of Water Entry and Exit Problemsmentioning

confidence: 99%

“…Hydrodynamic loads over the wetted part of the elongated hull are estimated by using the 2D+T approximation [6]. In this approximation, the three-dimensional nonlinear stationary problem is reduced to a two-dimensional unsteady problem of water entry and exit.…”

Section: Introductionmentioning

confidence: 99%

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Hydrodynamic forces in water exit problems

Korobkin

Хабахпашева

Maki

2017

Journal of Fluids and Structures

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The three-dimensional steady problem of an elongated smooth body moving along the water free surface at a constant speed is considered within the 2D+T approximation. The corresponding unsteady two-dimensional problem describes both the water entry and the subsequent exit of a smooth contour from the water. The shape of the contour varies in time. The present paper is concerned with the exit stage. The draft of the body is small compared with the body length and beam. The hydrodynamic loads during the entry stage are evaluated by the original Wagner model of water impact. The linearized exit model [5] is generalised to account for time-dependent acceleration of the body and the body shape which also varies in time. The integral equation with respect to the size of the wetted area of the body is solved numerically. The theoretical predictions of the hydrodynamic forces acting on the body during its exit from the liquid are compared with the numerical results obtained by solving the Navier-Stokes equations. A simplified model of water exit with the body shape approximated by a parabolic contour with a time-dependent radius of curvature is proposed and validated. It is shown that the linearized water-exit model with non-linear correction terms predicts reasonably well the hydrodynamic loads.

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“…This is a drawback of the 2D+T model used in this study. More details about the local flow in the region of the bow can be found in [6,7].…”

Section: Formulation Of Water Entry and Exit Problemsmentioning

confidence: 99%

Section: Formulation Of Water Entry and Exit Problemsmentioning

confidence: 99%

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Hydrodynamic forces in water exit problems

Korobkin

Хабахпашева

Maki

2017

Journal of Fluids and Structures

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“…The 2D+T approach is formally based on slender body theory assuming that changes in the longitudinal direction are small compared to changes in the transverse directions (e.g. Fontaine and Cointe, 1997;Fontaine and Tulin, 2001;Weymouth et al, 2006). In this approach, the 2D+T representation of the ship geometry is that of a 2D flexible wavemaker, whose instantaneous profile matches the section lines of the 3D hull.…”

Section: Predictions Of Breaking Bow Wavesmentioning

confidence: 99%

Physics-Based Learning Models for Ship Hydrodynamics

Weymouth¹,

Yue²

2013

Journal of Ship Research

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We present the concepts of physics-based learning models (PBLM) and their relevance and application to the field of ship hydrodynamics. The utility of physics-based learning is motivated by contrasting generic learning models (GLM) for regression predictions which do not presume any knowledge of the system other than the training data provided, with methods such as semi-empirical models which incorporate physical-insights along with data-fitting. PBLM provides a framework wherein intermediate models (IM), which capture (some) physical aspects of the problem, are incorporated into modern GLM tools to substantially improve the predictions of the latter, minimizing the reliance on costly experimental measurements or high-resolution high-fidelity numerical solutions. To illustrate the versatility and efficacy of PBLM, we present three wave-ship interaction problems: (i) at speed waterline profiles, (ii) ship motions in head seas, and (iii) threedimensional breaking bow waves. PBLM is shown to be robust and produce error rates at or below the uncertainty in the generated data, at a small fraction of the expense of high-resolution numerical predictions.

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“…Bow wave dynamics have been a subject of much theoretical and analytical research in the past (including Ogilvie 1972, Noblesse et al 1991, Fontaine and Cointe 1997. Numerical methods have also been used to investigate free-surface flows near ships (Miyata and Inui 1984, Wyatt 2000, Sussman and Dommermuth 2001, lafrati and Campana 2003.…”

Section: Introductionmentioning

confidence: 99%