• Title/Summary/Keyword: solitary waves

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Runup and Reflection of Waves on Impermeable Slopes of Coastal Structures (불투수성 경사면에서 파의 처오름과 반사)

  • Lee, Cheol-Eung
    • Journal of Industrial Technology
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    • v.21 no.B
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    • pp.175-185
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    • 2001
  • A numerical model is represented to calculate the reflected waves, the runup of waves and the wave induced velocities on impermeable slopes for the normally incident wave trains of nonlinear monochromatic wave and solitary wave. The finite amplitude shallow water equations with the effects of bottom friction are solved numerically in time domain using an explicit dissipative Lax-Wendroff finite difference method. The numerical model is verified by comparisons with the other numerical results, the measured data and asymptotic results. It is found that the uprushing and downrushing of incident waves may be accurately predicted by the present numerical model. Therefore, the present numerical model can be applicable to swells as well as long waves.

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Control of Short-period and Solitary Waves Using Two-rowed Impermeable Rectangular Submerged Dike (2열 불투과성 사각형 잠제를 이용한 단주기파랑 및 고립파의 제어)

  • Lee, Kwang-Ho;Jung, Sung-Ho;Ha, Sun-Wook;Kim, Do-Sam
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.22 no.4
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    • pp.203-214
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    • 2010
  • This study numerically investigates the wave control of 2-rowed Impermeable Rectangular Submerged Dike(IRSD) with an object of how to control short-period and solitary waves simultaneously based on the Bragg resonance phenomenon that elevates the wave control performance. The boundary integral method using Green formula and the 3-D one-field Model for immiscible TWO-Phase flows (TWOPM-3D) by 3-D numerical wave flume have been used for the numerical predictions for short-period and solitary waves, respectively. These numerical models were verified through the comparisons with the previously published numerical results by other researchers. Through the parametric tests of numerical experiments for short-period waves, an optimum model of 2-rowed IRSD of a lowest transmission coefficient has been found. Furthermore, the performances of 3-D wave control for solitary waves were evaluated for the various free board, crown widths and gap distance between dikes, and have been compared with those of a single-rowed IRSD. Numerical results show that a 2-rowed IRSD with a less cross sectional area than 1-rowed one improves the wave attenuation performances when it is compared to that of single-rowed IRSD. Within the test frequency ranges of the numerical simulations conducted in this study, 2-rowed IRSD with an optimum gap distance shows an outstanding improvement of the wave attenuation up to 58% compared to that of single-rowed IRSD.

A Study on the Control of Solitary Waves by Resonator (공진장치에 의한 고립파의 제어에 관한 연구)

  • Lee, Kwang-Ho;Beom, Seong-Sim;Kim, Do-Sam;Park, Jong-Bae;An, Seong-Wook
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.24 no.1
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    • pp.48-57
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    • 2012
  • In this study, 3-dimensional hydraulic model experiment and 3-dimensional numerical analysis were carried out to review the control performance on the solitary waves by attaching the resonator suggested in this study to the openings of the existing rectangular harbors and breakwaters placed in a straight line. In the numerical analysis, TWOPM-3D of 3-D one-field Model for immiscible TWO-Phase flows method using 3-dimensional numerical wave tank was applied, and the validity of the numerical analysis method was verified through comparative analysis between hydraulic experimental results and numerical analysis results. In addition, the effectiveness of the resonator was identified as a result of review on the control performance to control solitary waves of the resonance devices through comparison with cases where the resonators are attached or not.

Characteristics of Solitary Waves Acting on Slopes (경사면에 작용하는 고립파의 특성)

  • Jeon, Chan-Hoo;Lee, Bong-Hee;Cho, Yong-Sik
    • Journal of Korea Water Resources Association
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    • v.35 no.6
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    • pp.779-786
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    • 2002
  • A boundary element method with a Lagrangian approach and B-spline technique is employed to investigate characteristics of solitary waves attacking on beach slopes. By comparing numerical solutions with available laboratory measurements, it is shown that the maximum run-up heights of the present model are more agreeable than those of the existing numerical model. Variations of run-up heights and velocity vectors for different slopes are also described. Characteristics of hydrodynamic pressure acting beach slopes are investigated in detail.

Numerical investigation of solitary wave interaction with a row of vertical slotted piles on a sloping beach

  • Jiang, Changbo;Liu, Xiaojian;Yao, Yu;Deng, Bin
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.11 no.1
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    • pp.530-541
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    • 2019
  • To improve our current understanding of tsunami-like solitary waves interacting with a row of vertical slotted piles on a sloping beach, a 3D numerical wave tank based on the CFD tool $OpenFOAM^{(R)}$ was developed in this study. The Navier-Stokes equations were employed to solve the two-phase incompressible flow, combining with an improved VOF method to track the free surface and a LES model to resolve the turbulence. The numerical model was firstly validated by our laboratory measurements of wave, flow and dynamic pressure around both a row of piles and a single pile on a slope subjected to solitary waves. Subsequently, a series of numerical experiments were conducted to analyze the breaking wave force in view of varying incident wave heights, offshore water depths, spaces between adjacent piles and beach slopes. Finally, a slamming coefficient was discussed to account for the breaking wave force impacting on the piles.

Internal Wave Computations based on a Discontinuity in Dynamic Pressure (동압 계수의 불연속성을 이용한 내면파의 수치해석)

  • 신상묵;김동훈
    • Journal of the Society of Naval Architects of Korea
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    • v.41 no.4
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    • pp.17-29
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    • 2004
  • Internal waves are computed using a ghost fluid method on an unstructured grid. Discontinuities in density and dynamic pressure are captured in one cell without smearing or oscillations along a multimaterial interface. A time-accurate incompressible Navier-Stokes/Euler solver is developed based on a three-point backward difference formula for the physical time marching. Artificial compressibility is introduced with respect to pseudotime and an implicit method is used for the pseudotime iteration. To track evolution of an interface, a level set function is coupled with the governing equations. Roe's flux difference splitting method is used to calculate numerical fluxes of the coupled equations. To get higher order accuracy, dependent variables are reconstructed based on gradients which are calculated using Gauss theorem. For each edge crossing an interface, dynamic pressure is assigned for a ghost node to enforce the continuity of total pressure along the interface. Solitary internal waves are computed and the results are compared with other computational and experimental results.

An Experiment of Internal Waves Observation by Synthetic Aperture Radar

  • Junmin, Meng;Jie, Zhang
    • Proceedings of the KSRS Conference
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    • 2003.11a
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    • pp.1343-1345
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    • 2003
  • An internal wave observation experiment by SAR in South China Sea is described. Two scenes of Radarsat ScanSAR images were acquired. Internal solitary waves are found in all the two images. It is concluded that these internal waves are generated in Bashi channel. Relationship between internal wave generation and tide is studied based on analyzing of tidal data of Legaspi in Philippine. Using ocean environmental data of this sea area internal waves’ amplitude and wave speed are detected by SAR images.

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A Note on Hamilton's Principle for a Free-Surface Flow Problem (자유표면파 문제에서의 하밀톤 원리의 적용에 대한 소고)

  • J.W.,Kim;K.J.,Bai
    • Bulletin of the Society of Naval Architects of Korea
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    • v.27 no.3
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    • pp.19-30
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    • 1990
  • This note describes an application of Hamiton's principle to nonlinear free-surface flow problems. Two functionals are constructed based on classical Hamilton's principle with a modification due to the presence of a free surface. As an effort towards the development of an efficient numerical scheme for our problem, we present the following three test results: i) The bounding principles of the eigenvalues for the linear dispersion relation. ii) By assuming steady solitary waves, an approximate relation between the amplitudes and the speeds of solitary waves are derived from the two functionals constructed. Their numerical results are compared with those of Longuet-Higgins & Fenton(1974). iii) The shapes and charicteristics of solitary waves are computed from two sets of functionals by varying the number of total finite elements in the fluid domain.

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Numerical Simulation on Reduced Runup Height of Solitary Wave by Fixed Submerged and Floating Rectangular Obstacles (고정된 사각형 수중 및 부유식 구조물에 의한 고립파의 처오름높이 저감 수치모의)

  • Choong Hun, Shin;Hyung Suk, Kim
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.34 no.6
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    • pp.211-221
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    • 2022
  • The wave runup height is one of the most important parameters for affecting the design of coastal structures such as dikes, revetments, and breakwaters. In this study, SWASH (Zijlema et al., 2011), a non-hydrostatic pressure numerical model, was used to analyze the effect of reducing The wave runup height of solitary waves by submerged and floating rectangular obstacles. It was confirmed that the SWASH model reproduces the propagation, breaking, and runup of solitary waves quite well. In addition, it was confirmed that the wave deformation of the solitary wave by submerged and floating rectangular obstacles was well reproduced. Finally, we conducted an examination of the effect of reducing the runup height of submerged and floating rectangular obstacles. Reduced runup heights are calculated and the characteristics of runup height reduction according to the dimensions of the obstacle were analyzed. The energy attenuation effect of the floating obstacle is greater than the submerged obstacle, and it is shown to be more effective in reducing the runup height.

THE EFFECT OF DUST PARTICLES ON ION ACOUSTIC SOLITARY WAVES IN A DUSTY PLASMA

  • Choi, Cheong-Rim;Lee, Dae-Young;Kim, Yong-Gi
    • Journal of Astronomy and Space Sciences
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    • v.21 no.3
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    • pp.201-208
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    • 2004
  • In this paper we have examined the effect of dust charge density on nonlinear ion acoustic solitary wave which propagates obliquely with respect to the external magnetic field in a dusty plasma. For the dusty charge density below a critical value, the Sagdeev potential $\Psi1(n)$ has a singular point in the region n < 1, where n is the ion number density divided by its equilibrium number density. If there exists a dust charge density over the critical value, the Sagdeev potential becomes a finite function in the region n < 1, which means that there may exist the rarefactive ion acoustic solitary wave. By expanding the Sagdeev potential in the small amplitude limit up to on4 near n=1, we find the solution of ion acoustic solitary wave. Therefore we suggest that the dust charge density plays an important role in generating the rarefactive solitary wave.