• Title/Summary/Keyword: Diffraction of waves

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Long Waves Generated by Short Wave Groups over a Step: Governing Equations (계단지형을 지나는 파군에 의한 장파의 생성: 지배방정식)

  • Jo, Yong-Sik
    • Journal of Korea Water Resources Association
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    • v.34 no.6
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    • pp.651-657
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    • 2001
  • The second-order long waves generated by short wave groups propagating over a step are theoretically investigated. The diffraction of short waves is firstly formulated and the governing equations of second-order long waves are then derived by using a multiple-scale perturbation method. It is observed that free and locked long waves are generated and propagated with different velocities.

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Diffraction and Radiation of Waves by Array of Multiple Buoys (다수 부체 배열에 의한 파의 회절과 방사)

  • Cho, Il-Hyoung
    • Journal of Ocean Engineering and Technology
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    • v.30 no.3
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    • pp.151-160
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    • 2016
  • The diffraction and radiation of linear waves by an array of truncated floating multiple buoys are solved using the interaction theory based on a matched eigenfunction expansion method (MEEM). The interaction processes between multiple buoys are very complex and numerous, because the scattered and radiated waves from each buoy affect the others in the array. Our primary aim is therefore to construct the rigorous wave exciting forces and hydrodynamic forces to deal with the problem of multiple interactions. This present method is applied to a square array of four buoys with two incidence angles, and the results are given for the wave excitation forces on each buoy, heave RAO for each buoy heaving independently, and wave elevations around the buoys and wave run-up. The analytical solutions are in good agreement with the numerical solutions obtained from commercial code (WAMIT).

Dynamic Interaction of Waves with a Moored Structure (계류된 구조물에 작용하는 파도의 동적작용에 대하여)

  • Kim, Chang-Je
    • Journal of Ocean Engineering and Technology
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    • v.6 no.2
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    • pp.94-102
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    • 1992
  • This paper presents the method of numerical analysis concerned with the hydropdynamic forces and moments of the floating bodies exerted by waves. The analytic methods of hydrodynamic wave forces and moments for large volume structures are generally classified into four categories ; the strip method, the boundary element method, the finite element method, and the potential matching method. In the case of the comparatively large structures, diffraction theory can be applied. However, there are no application limits of diffraction theory which have been known concerning with the analytic method of the rectangular structures. In this paper, the two-dimensional B.E.M. is treated for a moored small rectangular structure in order to evaluate applicability of diffraction theory. Numerical calculation is carried out for the structure. The results are compared with some other ones for verification. The result shows that diffraction theory is applicable to structures smaller than 0.15 in the ratio of the representative structure length d to wave length L for rectangular ones.

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Effects on the Wave Heights in a Port Caused by the Phase Differences of the Left and Right Diffracted Waves Passing through a Detached Breakwater (이안제를 지나는 좌·우측 회절 파랑의 위상차가 항내 파고에 미치는 영향)

  • Kim, Tak Kyeom;Kwon, Kyong Hwan;Ryu, Ha Sang;Kim, Gyung Soo
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.28 no.6
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    • pp.397-407
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    • 2016
  • The traveling waves of the left and right of the detached breakwater are bent behind the detached breakwater by diffraction, causing phase interference, superimposed and propagated. If the direction of the waves becomes same and they head to the entrance of a port due to the geographical conditions, superimposed wave energy could influence inside of a port. In this study, we investigated the influence of the phase difference of the left and right diffraction waves generated according to the length of the detached breakwater on the wave heights in a port through numerical experiments when the detached breakwater at a port entrance is installed. From this result, it was confirmed that the wave heights in a port is increased or decreased by the influence of superimposed caused by the phase difference of the left and right diffraction waves due to the length of the detached breakwater.

Comparison of Parabolic Mild-Slope Equations in View of Wave Diffraction (회절현상의 관점에서 본 포물선형 완경사방정식의 비교)

  • 이해균;이길성;이창훈
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.10 no.1
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    • pp.1-9
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    • 1998
  • Among the phenomena of water-wave transformation, the wave diffraction is prominent for waves insidc the harbor. It is important to study how accurately the diffraction can be resolved by the numerical model. Three parabolic mild-slope equations, i.e., simple, wide-ang1e, three-parameter parabolic equations, are compared in view of the diffraction of water-waves around a semi-infinite breakwater. To avoid reflections at lateral boundaries, we apply the perfect boundary condition of Dalrymple and Martin (1992) in case of simple parabolic equation. The numerical results for the case of a semi-infinite breakwater are compared with the analytical solution of Penney and Price (1952). All the results are very accurate when waves attack the breakwater normally. When waves attack the breakwater obliquely, however, the simple parabolic equation yields the worst solution and the three-parameter parabolic equation yields the most accurate solution.

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Transformation of Regular Waves on Currents in Water of Slowly Varying Depth-Theoretical Study (흐름이 존재하는 완경사 해역에서의 파랑변형-이론적 고찰)

  • 채장원;정신택;엄대기;안한수
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.1 no.1
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    • pp.1-7
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    • 1989
  • Theoretical studies have been made to analyze combined refraction diffraction of the wind waves propagating on a large scale current in water of varying depth. The governing equation for monochromatic waves was derived through splitting a mild slope equation into two equations. A numerical model is developed using finite difference scheme which is computationally very efficient for modelling large area. Numerical examples concerning the interactions between waves and rip currents over a gentle slope are presented, in which the current effects on the wave diffraction in the caustic region are closely examined.

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Diffraction of Electromagnetic Waves by a Dielectric Wedge, Part I: Physical Optics Approximation (쇄기형 유전체에 의한 전자파의 회절, I부 : 물리광학근사)

  • 김세윤;라정웅;신상영
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.8
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    • pp.874-883
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    • 1988
  • A complete form of physical optics solution to the diffraction of electromagnetic waves by a dielectric wedge with arbitrary dielectric constant and general wedge angle is obtained for an incident plane wave with any angle. Based on the formulation of dual integral equation in the spectral domain, the physical optics solution is constructed by sum of geometrical optics term including multiple reflection inside the wedge and the edge diffracted field, of which diffraction functions are represented in a quite simple form as series of cotangent functions weighted by the Fresnel reflection coefficients. Since diffraction patterns of physical optics are discontinous at dielectric interfaces, Part II and III of these three companion papers will be concerned with correction to the error of the physical optics approximation.

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Boundary Element Analysis for Diffraction of Water Waves with Vertical Cylinders (연직 해양구조물로 인한 파랑회절의 경계요소 해석)

  • 김성득;이성대;박종배
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.1 no.1
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    • pp.63-70
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    • 1989
  • A numerical analysis of the wave characteristics of wave diffraction and the interference effects for a single cylinder and for two cylinders were carried out by the Boundary Element Method using constant elements. The Present investigation was limited to the diffraction of 2-dimensional linear waves by vertical impervious cylinders. Numerical model has been written to calculate the wave diffraction coefficient both on the boundary of the cylinders and at points away from it. The accuracy of the computational scheme was investigated by comparing the analytical results of the other reseraches. Good agreement was observed.

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TIME-DEPENDENT WAVE EQUATIONS ON BOTTOM WITH SUBSTANTIAL DEPTH VARIATION

  • Suh, Kyung-Duck;Lee, Changhoon
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 1995.10a
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    • pp.75-80
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    • 1995
  • The model for the combined refraction and diffraction of water waves, the so-called mild-slope equation, was first developed by Berkhoff (1972) and has been studied by many coastal engineers because the model is able to consider the combined effect of refraction and diffraction of water waves and eliminate the problem of ray crossing which may happen in the previously developed ray theory. (omitted)

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Diffraction-Induced Wave Setup inside Harbor

  • Oh, Tae-Myoung
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 1998.09a
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    • pp.130-133
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    • 1998
  • This paper identifies diffraction-induced wave setup when waves enter into a harbor of constant depth through a breakwater gap narrower than one wave length. It is well known, for this case, that the waves in the lee of the breakwater propagate as if from a point source and the wave crest lines are approximated well by semicircular arcs. Wave height decreases in accordance with conservation of energy; thereby resulting in an appreciable setup of the surface. (omitted)

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