• Title/Summary/Keyword: reflection-transmission boundary

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Harbor Tranquility Analysis with the Reflection-Transmission Boundary Condition of Floating Breakwaters (부유식 방파제의 반사-투과 경계조건을 적용한 항만 정온도의 해석)

  • 전인식;최민호;심재설;오병철
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.14 no.1
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    • pp.76-85
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    • 2002
  • The floating breakwater generally has an excellent water exchanging capability, but with some lowering harbor tranquility due to the wave transmission underneath floating body. In the initial stage of design, it is thus required to investigate several alternatives of breakwater layout for their performance of harbor tranquility. The present study aims to formulate a sort of reflection-transmission boundary condition of floating breakwater so that the existing numerical method using time dependent mild slope equation can still be applied to the case of floating breakwaters. The two and three dimensional tests were each performed to demonstrate the performance of the boundary condition. It was found that the reflection and transmission characteristics around the breakwater were well reproduced by the boundary condition. Finally, the reflection-transmission boundary condition were applied to a floating breakwater installed in an imaginary harbor with an irregular shape and bottom topography. The results surely showed that the present numerical method can effectively used in practical works related to the real sea construction of floating breakwaters.

Boundary Element Analysis on the Hydraulic Characteristics of Submerged Breakwater with Trapezoidal Type (사다리꼴형상 잠제의 수리특성에 관한 경계요소해석)

  • Kim Nam-Hyeong;Yang Soon-Bo
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.6 no.4
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    • pp.45-51
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    • 2003
  • The reflection and transmission of submerged breakwater with trapezoidal type are computed numerically using boundary element method. The analysis method is based on the wave pressure function with the contlnuit? in the analytical region including fluid and porous structures. Wane motion within the porous structures is simulated by introducing the linear dissipation coefficient and added mass coefficient. The results indicate that transmission and reflection coefficient are determined due to the change of slope of submerged breakwater with trapezoidal type.

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Wave Reflection and Transmission Coefficients of Rubble Mound Breakwaters under Oblique Incident Waves (경사입사파랑중의 사석방파제에 의한 반사율과 투과율에 관한 연구)

  • 배기성;김도삼
    • Journal of Ocean Engineering and Technology
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    • v.15 no.1
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    • pp.31-35
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    • 2001
  • By applying the Boundary Integral Equation Method (BIEM) to obliquely incident for Rubble Mound Breakwater (RMB), wave reflection and transmission the coefficients are studied numerically. The validity of and the present BIEM is confirmed by comparing it with 1)numerical results of the eigenfunction expansion method of Dalrymple et al.(1991), and 2)numerical results of the BIEM of Kojima et al.(1988). Therefore, the characteristics of RMB for obliquely incident waves are investigated according to the variations of the wave period, equivalent linear nondimensional friction coefficient and direction of incident waves. It is revealed that the wave transformations of obliquely incident waves are different from those of normally incident waves.

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Reflection and Transmission of Acoustic Waves Across Contact Interfaces

  • Kim, Noh-Yu;Jhang, Kyung-Young;Lee, Tae-Hoon;Yang, Seung-Yong;Chang, Young-Chul
    • Journal of the Korean Society for Nondestructive Testing
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    • v.28 no.3
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    • pp.292-301
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    • 2008
  • A linearized model for hysteretic acoustic nonlinearity of imperfectly joined interface is proposed and analyzed by using Coulomb damping to investigate the characteristics of the reflection and transmission coefficients for harmonic waves at the contact interface. Closed crack is modeled as non welded interface that has nonlinear discontinuity condition in displacement across its boundary. Based on the hysteretic contact stiffness of the contact interface, the reflected and transmitted waves are determined by deriving the tractions on both sides of the interface in terms of the discontinuous displacements across the interface. It is found that the amplitudes of the reflected and transmitted waves are dependent on the frequency and the hysteretic stiffness. As the frequency of the incident wave increases, the higher reflection and lower transmission are obtained. It also shows that the hysteresis of the interface increases the reflection coefficient, but reduces the transmission coefficient. A fatigue crack is also made in aluminum specimen to demonstrate these characteristics of the reflection and transmission of contact interfaces.

Compressional MHD wave transport in the boundary region between cold and hot plasmas

  • Park, Seong-Kook;Lee, Dong-Hun;Kim, Ki-hong
    • Bulletin of the Korean Space Science Society
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    • 2003.10a
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    • pp.40-40
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    • 2003
  • When the magnetotail is disturbed by an impulsive input such as the substorm onset, compressional magnetohydrodynamic (MHD) waves play an important role in delivering perturbed energy and exciting various wave modes and currents. The plasmasheet, in which relatively hot plasmas exist, is surrounded by relatively cold plasmas at the plasma sheet boundary layer (PSBL) and the equatorial plasmasphere. Since the Alfven speed significantly varies near these regions, the compressional waves are expected to undergo mode conversion by inhomogeneity at the boundary between cold and hot plasma regions. We investigate how the initial compressional MHD wave energy is reflected, transmitted, and absorbed across that boundary by adopting the invariant imbedding method (IIM) which gives the exact reflection, transmission, and absorption coefficients without any theoretical approximations for given frequencies and wave numbers. The IIM method is very useful in quantifying the reflection and transmission of compressional waves in the sense that we can calculate how much fast mode wave energy is delievered into shear Alfven waves or field-aligned currents. Our results show that strongly localized absorption occurs at the boundary region. This feature suggests that localized field-aligned currents can be impulsively excited at such boundary regions by any compressional disturbances, which is highly associated with impulsive auroral brightening at the substorm onset. We compare our results with previous studies in cold inhomogeneous plasmas.

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Spline Boundary Element Modeling of Wave Scattering on a Submerged Breakwater

  • Boo, Sung-Youn
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2006.11a
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    • pp.396-402
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    • 2006
  • An efficient spline boundary element scheme is newly developed for water wave scattering of an incident wave train on a submerged breakwater. Validation of the present scheme is accomplished through the numerical experiments for various cases, by comparing the numerical results with theories vailable in the literature. Very accurate reflection and transmission coefficients for thin horizontal breakwater are obtained. It is observed that the reflection coefficient for the rectangular breakwater is significantly affected by the thickness. Horizontal and vertical forces on the breakwater for various thicknesses were also investigated.

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Analysis of Bragg Reflection using Two-Dimensional Boundary Element Method (2차원 경계요소법을 이용한 Bragg반사 해석)

  • Kim, Yeong-Taek;Jo, Yong-Sik;Lee, Jeong-Gyu
    • Journal of Korea Water Resources Association
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    • v.33 no.6
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    • pp.805-814
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    • 2000
  • A numerical model based on the boundary element method is employed to describe diffraction of monochromatic water waves due to varying topographies. The model is firstly verified by comparing obtained reflection and transmission coefficients of waves over a trench to those of the eigenfunction expansion method. The model is then used to investigate the Bragg reflection of waves over sinusoidally varying topographies. Calculated reflection coefficients are compared to available laboratory measurements and semi-theoretical results. A reasonably good agreement is observed.served.

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Effects of stiffness on reflection and transmission of micropolar thermoelastic waves at the interface between an elastic and micropolar generalized thermoelastic solid

  • Kumar, Rajneesh;Sharma, Nidhi;Ram, Paras
    • Structural Engineering and Mechanics
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    • v.31 no.2
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    • pp.117-135
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    • 2009
  • The reflection and transmission of micropolar thermoelastic plane waves at the interface between an elastic solid and micropolar generalized thermoelastic solid is discussed. The interface boundary conditions obtained contain interface stiffness (normal stiffness and transverse stiffness). The expressions for the reflection and transmission coefficients which are the ratios of the amplitudes of reflected and transmitted waves to the amplitude of incident waves are obtained for normal force stiffness, transverse force stiffness and welded contact. Numerical calculations have been performed for amplitude ratios of various reflected and transmitted waves. The variations of amplitude ratios with angle of incident wave have been depicted graphically. It is found that the amplitude ratios of reflected and transmitted waves are affected by the stiffness, micropolarity and thermal distribution of the media.

Analysis of Multi-Mode Reflection and Transmission Coefficients of a Lamb Wave Across a Rectangular Notch (사각형 노치에 대한 램파의 다중 모드 반사와 투과 계수 해석)

  • Kim, Byung-Soo;Roh, Yong-Rae
    • The Journal of the Acoustical Society of Korea
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    • v.27 no.3
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    • pp.129-139
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    • 2008
  • The purpose of the present work is to derive the reflection and transmission coefficients of $S_0\;and\;A_0$ mode Lamb waves in relation to the geometry of a rectangular notch when the waves propagate across the notch in an elastic plate. Firstly, the excitable modes of the Lamb wave were analyzed with respect to the plate thickness. The scattering phenomena were divided into three independent processes according to the boundary shape of the notch and the direction of the wave propagation. Linear equations for each process were derived with corresponding free or continuous boundary conditions to analyze the scattered waves. By the rule of linear superposition, the waves scattered at each process were summed for each mode. Then the steady-state reflection and transmission coefficients of the scattered waves were determined so that the difference of energy flux between the incident and the scattered waves would remain within 4%.

Earthquake Response Analysis through a Fundamental Solution to Multilayered Half-Planes (다층반무한 기본해를 이용한 지진응답해석)

  • 김문겸
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 1997.04a
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    • pp.128-135
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    • 1997
  • The indirect boundary integral equation is formulated to analyze the behavior of a cavity in a multilayered half-plane subjected to earthquake waves. This formulation uses the fundamental solutions that are numerically calculated by the generalized transmission and reflection coefficient method. The free surface of the cavity without external excitation influences the behavior of the half-plane. Consequently this analysis adds the consideration of scattering-field into the analysis and the total motion field of the cavity is decomposed into the free-field and scattering-field motions. The free-field motion is obtained from the modification of the transmission and reflection coefficient method. The scattering-field motion is calculated is calculated by the indirect boundary value problem which has the ficticious boundaries and sources. In this study, P wave, SV wave, SH wave, and Rayleigh wave are analyzed respectively.

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