Current Effects on Nonlinear Wave-Body Interactions by a 2D Fully Nonlinear Numerical Wave Tank

Koo, Weoncheol; Kim, Moo-Hyun

doi:10.1061/(asce)0733-950x(2007)133:2(136)

Cited by 34 publications

(31 citation statements)

References 12 publications

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“…As can be seen, the presented procedure leads to steady-state results that agree well with those from the full-updated Runge-Kutta method while the frozen-coefficient RungeKutta scheme does not give similar results even when the time step is as small as T/128. The results for the frozen-coefficient Runge-Kutta scheme also tends to be unstable as indicated in [23]. This clearly demonstrates that the ISITIMFB can alleviate the instability problem of the frozen-coefficient method and can be as accurate and robust as the full-updated Runge-Kutta method but without the need of multiple updating of fluid domain geometries and so of the coefficient matrix in one time step ; ISITIMFB and Fully updated Runge-Kutta method:…”

Section: Comparison With Other Force Calculation Methodsmentioning

confidence: 77%

“…15. To consider the same case as in [23], the dimensionless incident wave height of 0.0025 and the time step are used here. As can be seen, the presented procedure leads to steady-state results that agree well with those from the full-updated Runge-Kutta method while the frozen-coefficient RungeKutta scheme does not give similar results even when the time step is as small as T/128.…”

Section: Comparison With Other Force Calculation Methodsmentioning

confidence: 99%

“…r r (23) where i r r ∆ is the displacement at Node I; k ij is the spring stiffness and N i is the number of nodes that are connected to Node I. For problems about nonlinear water waves, it is crucial to maintain the quality (good element shapes and reasonable node distribution) of mesh near the free surface.…”

Section: Scheme For Moving Meshmentioning

confidence: 99%

“…The mode-decomposition method was suggested by Vingi & Brevig [8] and adopted by Koo [23] and Koo & Kim [24]. In this approach, the body acceleration is decomposed into several modes (4 modes in 2D cases or 7 modes in 3D cases, respectively).…”

Section: Calculations Of Fluid Velocity On the Surface Of The Floatinmentioning

confidence: 99%

“…Beck & Schultz [19] made nonlinear computation of wave loads and motions of freely rectangular barge in incident waves. Tanizawa [20], Tanizawa & Minami [21] and Tanizawa, Minami & Naito [22] simulated 2D freely barge-type floating body, followed by Koo [23] and Koo & Kim [24]. Kashiwagi & Momoda [25] and Kashiwagi [26] investigated wave-induced motions of 2D complicated-shape floating body.…”

Section: Introductionmentioning

confidence: 99%

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Numerical simulation of fully nonlinear interaction between steep waves and 2D floating bodies using the QALE-FEM method

Yan

2007

Journal of Computational Physics

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This is the accepted version of the paper.This version of the publication may differ from the final published version. based on a fully nonlinear potential theory, which was recently developed by the authors ([1], [2]), to deal with the fully nonlinear interaction between steep waves and 2D floating bodies. In the QALE-FEM method, complex unstructured mesh is generated only once at the beginning of calculation and is moved to conform to the motion of boundaries at other time steps, avoiding the necessity of high cost remeshing. In order to tackle challenges associated with floating bodies, several new numerical techniques are developed in this paper. These include the technique for moving mesh near and on body surfaces, the scheme for estimating the velocities and accelerations of bodies as well as the forces on them, the method for evaluating the fluid velocity on the surface of bodies and the technique for shortening the transient period. Using the developed techniques and methods, various cases associated with the nonlinear interaction between waves and floating bodies are numerically simulated. Permanent repository linkFor some cases, the numerical results are compared with experimental data available in the public domain and good agreement is achieved.

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Section: Comparison With Other Force Calculation Methodsmentioning

confidence: 77%

Section: Comparison With Other Force Calculation Methodsmentioning

confidence: 99%

Section: Scheme For Moving Meshmentioning

confidence: 99%

Section: Calculations Of Fluid Velocity On the Surface Of The Floatinmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Numerical simulation of fully nonlinear interaction between steep waves and 2D floating bodies using the QALE-FEM method

Yan

2007

Journal of Computational Physics

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An adaptive harmonic polynomial cell method with immersed boundaries: Accuracy, stability, and applications

Tong

Shao

Bingham

et al. 2021

Numerical Meth Engineering

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We present a 2D high-order and easily accessible immersed-boundary adaptive harmonic polynomial cell (IB-AHPC) method to solve fully nonlinear wave-structure interaction problems in marine hydrodynamics using potential-flow theory. To reduce the total number of cells without losing accuracy, adaptive quad-tree cell refinements are employed close to the free-surface and structure boundaries. The present method is simpler to implement than

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The acceleration potential in fluid–body interaction problems

Bandyk

Beck

2010

J Eng Math

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The velocity potential φ is commonly used when solving fluid-body interaction problems. The acceleration potential ∂φ ∂t is a supplementary concept that offers several advantages. It increases temporal accuracy when solving large-amplitude motions numerically. It also results in better time-stepping stability when solving body equations of motion in the time-domain. The acceleration-potential formulation requires solving the velocity-potential problem first, and in many interesting cases increases accuracy and stability while improving overall computational efficiency. This paper reviews various formulations of the acceleration potential found in potentialflow hydrodynamics. For brevity, only the radiation-problem is considered where waves are due to the motion of the body. First, the velocity-potential problem is stated, including conventions and coordinate systems. The form of the rigid-body equations of motions is briefly discussed, as well as the coupling to the hydrodynamic problem. The various acceleration-potential formulations are reviewed and compared mathematically. Analytic and numerical solutions are also evaluated and analyzed. The computer simulations include convergence studies and large-amplitude motions. Finally, conclusions are presented discussing the applicability and advantages of the methods described, as well as the general use of the acceleration potential.

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Current Effects on Nonlinear Wave-Body Interactions by a 2D Fully Nonlinear Numerical Wave Tank

Cited by 34 publications

References 12 publications

Numerical simulation of fully nonlinear interaction between steep waves and 2D floating bodies using the QALE-FEM method

Numerical simulation of fully nonlinear interaction between steep waves and 2D floating bodies using the QALE-FEM method

An adaptive harmonic polynomial cell method with immersed boundaries: Accuracy, stability, and applications

The acceleration potential in fluid–body interaction problems

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