A Numerical Method for Nonlinear Water Waves

Zhao, Xi; Sun, Zhipeng; Liang, Shulin; Hu, Chang Hong

doi:10.1016/s1001-6058(08)60163-8

Cited by 12 publications

(2 citation statements)

References 12 publications

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“…More details can be found in Refs. [3] and [29]. In the study by Zhao [30], different cases are investigated with different input amplitudes, different peak frequencies and frequency widths.…”

Section: Generation Of Regular Wave In a Tankmentioning

confidence: 99%

“…The major difficulty in the numerical simulation of violent flow is that the topology of free surface may be largely distorted or broken up, which makes it impossible to apply conventional numerical methods such as potential flow solver by boundary element method (BEM) [1], High order spectral method [2][3][4], finite element method [5][6][7]. Several challenging works have been reported by using the finite difference method based on solving the Navier-Stokes equations in which the free surface is tracked by volume of fluid (VOF) method [8,9], by the particle method [10] and the smooth particles hydrodynamics method [11].…”

Section: Introductionmentioning

confidence: 99%

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Validation of a CIP-based tank for numerical simulation of free surface flows

Zhao

2011

Acta Mech Sin

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A constrained interpolation profile CIP-based numerical tank is developed to simulate violent free surface flows. The numerical simulation is performed by the CIP-based Cartesian grid method, which is described in the present paper. The tangent of hyperbola for interface capturing (THINC) scheme is applied for capturing complex free surfaces. The new model is capable of simulating a flow with violently varied free surface. A series of computations are conducted to assess the developed algorithm and its versatility. These tests include the collapse of water column with and without an obstacle, sloshing in a fixed tank, the generation of regular waves in a tank, the generation of extreme waves in a tank. Excellent agreements are obtained when numerical results are compared with available analytical, experimental, and other numerical results.

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Section: Generation Of Regular Wave In a Tankmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Validation of a CIP-based tank for numerical simulation of free surface flows

Zhao

2011

Acta Mech Sin

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Water Wave Theories and Wave Loads

Karadeniz

Saka

Toğan

2012

Springer Series in Reliability Engineering

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Numerical simulation of water wave propagation and transformation

Zhao

2010

J. Marine. Sci. Appl.

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A numerical approach was performed to predict the propagation and transformation of nonlinear water waves. A numerical wave flume was developed based on the non-periodic high-order spectral (HOS) method. The flume was applied to analyze the effect of wave steepness and wavelength on the propagation of nonlinear waves. The results show that for waves of low steepness, the wave profile and the wave energy spectrum are stable, and that the propagation can be predicted by the linear wave theory. For waves of moderate steepness and steep waves, the effects associated with the interactions between waves in a wave group become significant and a train of initially sinusoidal waves may drastically change its form within a short distance from its original position.

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A Numerical Method for Nonlinear Water Waves

Cited by 12 publications

References 12 publications

Validation of a CIP-based tank for numerical simulation of free surface flows

Validation of a CIP-based tank for numerical simulation of free surface flows

Water Wave Theories and Wave Loads

Numerical simulation of water wave propagation and transformation

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