A semi-analytical solution for the three-dimensional Wagner steep wave impact on a vertical circular cylinder

Tsaousis, Theodosis D.; Papadopoulos, Polycarpos K.; Chatjigeorgiou, Ioannis K.

doi:10.1016/j.apm.2019.08.013

Cited by 6 publications

(4 citation statements)

References 31 publications

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“…Clearly, Equations (12) and (13) correspond to Equations (5) and (6). Higher order terms are accordingly omitted.…”

Section: Perturbation Analysismentioning

confidence: 99%

“…For employing the perturbation analysis, we assume that V = vt. Hence, the bvp is composed by Equations (1)-(4), 7, (12) and 13and equating like powers of t, we obtain the perturbation systems at O(t) and O t 3 , in terms of the leading-and the higher-order potentials φ 1 and φ 3 , respectively. Clearly, the derivation of φ 3 through the associated system dictates the solution of the leading order problem.…”

Section: Perturbation Analysismentioning

confidence: 99%

“…Clearly, cylinders constitute the most important structural components of floating structures as they are used either as pontoons or as vertical axisymmetric pillars supporting the deck. Research on such an important subject has been conducted recently and results were presented for the hydrodynamic loading and the pressure impulse exerted on the cylinder by determining the actual contact line between the cylinder and the wave front at every time instant [12].…”

Section: Introductionmentioning

confidence: 99%

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An Analytical Approach for the Two-Dimensional Plunging Breaking Wave Impact on a Vertical Wall with Air Entrapment

Tsaousis

Chatjigeorgiou

2020

Fluids

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This study investigates an idealized formulation of the two-dimensional impact of a breaking wave on a vertical impermeable wall. An overturning-like wave is assumed, which is close to the concept of a plunging breaker. It is assumed that during the collision an air pocket is entrapped between the wave and the wall. The air pocket width is assumed to be negligible and the compression effects are omitted. The problem is considered in the two-dimensional space (2D) using linear potential theory along with the small-time approximation. We use a perturbation method to cope with the linearized free-surface kinematic and dynamic boundary conditions. We impose the complete mixed boundary value problem (bvp) and we solve for the leading order of the velocity potential. The problem derived involves dual trigonometrical series and is treated analytically. The main assumption made is that, within the air pocket, the pressure is zero. Results are presented for the velocity potential on the wall, the velocity, and the free-surface elevation.

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“…Clearly, Equations (12) and (13) correspond to Equations (5) and (6). Higher order terms are accordingly omitted.…”

Section: Perturbation Analysismentioning

confidence: 99%

Section: Perturbation Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An Analytical Approach for the Two-Dimensional Plunging Breaking Wave Impact on a Vertical Wall with Air Entrapment

Tsaousis

Chatjigeorgiou

2020

Fluids

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“…Dobrovol'skaya (1969), Semenov & Iafrati (2006) and Semenov & Wu (2016) presented similarity solutions for wedges that enter the water surface with a constant velocity. Previous methods were designed and developed for two-dimensional asymmetric objects (Semenov & Iafrati 2006;Faltinsen & Semenov 2008;Semenov & Wu 2019), arbitrary section bodies (Zhao & Faltinsen 1993;Mei, Liu & Yue 1999), axisymmetric three-dimensional objects (Shiffman & Spencer 1951;Hulin et al 2022) and three-dimensional simple objects (Korobkin & Scolan 2006;Tsaousis, Papadopoulos & Chatjigeorgiou 2020). However, these studies are based on potential flow theory, and the liquid is assumed to be incompressible.…”

Section: Introductionmentioning

confidence: 99%

Investigation of hydrodynamics of water impact and tail slamming of high-speed water entry with a novel immersed boundary method

et al. 2023

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High-speed water entry is a transient hydrodynamic process that is accompanied by strongly compressible flow, free surface splash, cavity evolution and other nonlinear hydrodynamic phenomena. To address these problems, a novel fluid–structure interaction (FSI) scheme based on the immersed boundary method is proposed which is suitable for strongly compressible multiphase flows. In this scheme, considering the multiphase interfaces at the immersed boundary, an improved immersed boundary method for effectively suppressing the non-physical force oscillation is proposed. Additionally, a quaternion-based six degrees of freedom motion system is used to describe rigid body motion, and the multiphase flow Eulerian finite element method is applied as the fluid solver. Using analytical solutions, experimental data and literature data, the accuracy and robustness of the FSI scheme are validated. Finally, the high-speed water entry of the slender body with different noses is investigated, and the hydrodynamic loads including the axial and normal drag forces and the bending moment are extensively discussed. The hydrodynamic load and motion trajectory are determined by the nose configuration. The tail slamming phenomenon is the primary focus, and it is revealed that its formation is primarily related to the pitch moment formed at the stage of crossing the free surface. Tail slamming also causes violent impact loads, especially bending moments, which may cause slender projectiles to break off. Finally, to combine the features of the flat and hemispherical noses, the water entry of the projectile with a truncated hemispherical nose is simulated and discussed.

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Distributed Forces—Hydrodynamic Loads

Chatjigeorgiou

2023

Synthesis Lectures on Ocean Systems Engineering

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A semi-analytical solution for the three-dimensional Wagner steep wave impact on a vertical circular cylinder

Cited by 6 publications

References 31 publications

An Analytical Approach for the Two-Dimensional Plunging Breaking Wave Impact on a Vertical Wall with Air Entrapment

An Analytical Approach for the Two-Dimensional Plunging Breaking Wave Impact on a Vertical Wall with Air Entrapment

Investigation of hydrodynamics of water impact and tail slamming of high-speed water entry with a novel immersed boundary method

Distributed Forces—Hydrodynamic Loads

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