• Title/Summary/Keyword: Regular reflection

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Application of a Regular Wave Model to Calculation of Irregular Wave Reflection from Perforated-Wall Caisson Breakwaters (불규칙파의 유공 케이슨 방파제로부터의 반사율 산정시 규칙파 모델 적용)

  • Suh Kyung Duck;Son Sang Young
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.205-208
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    • 2002
  • Numerous studies have been performed to develop an analytical model that can predict the reflection of regular or irregular waves from a perforated-wall caisson breakwater. Though such irregular wave models as Suh et at. (2001) become available, regular wave models are still in extensive use because of their simplicity. In the present study, using the regular wave model of Fuggazza and Natale(1992), the reflection of irregular waves from a perforated-wall caisson breakwater was calculated in several different methods. First, the regular wave model was re-validated by the hydraulic model tests. Though the model somewhat over-predicted the reflection coefficients at larger values and under-predicted them at smaller values, overall agreement was pretty good between calculation and measurement. Then, the regular wave model was applied to calculate the irregular wave reflection in the experiments of Suh et at.(2001) and Bennett et al. (1992). In applying the regular wave model to irregular wave reflection, several different methods were used. The results showed that it is the most reasonable to use the regular wave model repeatedly for each frequency component of the irregular wave specuum with the root-mean-squared wave height for all the frequencies .

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Analysis of Reflection Coefficients of Random Waves Propagating over Multi-arrayed trenchs (다열 함몰지형을 통과하는 불규칙 파랑의 반사해석)

  • Kang, Gyu-Young;Jung, Tae-Hwa;Cho, Yong-Sik
    • 한국방재학회:학술대회논문집
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    • 2008.02a
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    • pp.213-216
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    • 2008
  • In this study, reflection coefficients of regular and random waves propagating over multi-arrayed trenchs are calculated respectively. When the row of trench is 3, the reflection coefficient of regular waves is more than 0.7 as maximum value. Similarly, when the row of trench is 3 and $d/L_1$ is 0.22, reflection coefficient of multi-directional random waves is more than 0.4 maximally.

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Hydraulic Experiments on Reflection of Regular Waves due to Rectangular Submerged Breakwaters (사각형형상 수중방파제의 반사에 관한 수리실험)

  • Cho, Yong-Sik;Lee, Jong-In;Kim, Young-Taek
    • Journal of Korea Water Resources Association
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    • v.35 no.5
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    • pp.563-573
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    • 2002
  • In this study, reflection of water waves over a train of rectangular submerged breakwaters is experimentally investigated. Measured reflection coefficients of regular waves are compared with predicted coefficients obtained from the eigenfunction expansion method. Although measured coefficients are slightly smaller than predicted ones, the overall agreement is very good.

Reflection of Plane Shock Wave over Concave and Convex Walls (오목, 볼록면에서 평면충격파의 반사)

  • JEON, Heung-Kyun;KWON, Jin-Kyung;KWON, Soon-Bum
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.23 no.11
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    • pp.1473-1480
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    • 1999
  • In the case of Impingement of plane moving shock wave over concave or convex double wedges (pseudo-stationary flow) and cylindrical walls (truly non-stationary flow), it Is expected that there are transitions from regular reflection to Mach reflection or vice versa In shock wave reflections. In these connections, it is necessary to verify the various of reflection process and transition angle for the reflection problems In double wedges, and to verify the transition angle, effects of curvature radius and initial wall angle on it for the reflection problems In cylindrical walls. Especially, we focused our attention to confirm the existence of hysteresis phenomenon induced by the different transition processes, and Neumann paradox, which is a small discrepancy between theoretical and experimental transition angles. Experiments were carried out by using the shock tube of $6{\times}6cm^2$, and high speed photographic technique consisted of delay unit, triggering system, light source of Xe lamp and so on was used for flow visualization.

Laboratory Experiments on Reflection of Regular Waves due to Submerged Breakwaters (수중방파제 형상에 따른 규칙파의 반사실험)

  • 이종인;김영택;조용식
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.15 no.3
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    • pp.167-175
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    • 2003
  • In this study, reflection of regular waves over a train of submerged breakwaters is experimentally investigated. Wave reflection from various-shaped submerged breakwaters is examined by using laboratory experiment and eigenfunction expansion method. Shapes of submerged breakwaters are rectangular, triangular, trapezoidal and semi-circular. Laboratory measurements are compared with predicted coefficients obtained from the eigenfunction expansion method. Although measured coefficients are slightly smaller than predicted ones, the overall agreement is very good. The present study can provide a criterion for the proper choice of a shape of submerged breakwaters in practical situation.

On the Calculation of Irregular Wave Reflection from Perforated-Wall Caisson Breakwaters Using a Regular Wave Model (규칙파 모델을 이용한 유공케이슨 방파제로부터의 불규칙파 반사율 산정에 대하여)

  • 서경덕;손상영
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.15 no.1
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    • pp.11-20
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    • 2003
  • In this paper we examine several methods tor calculating the reflection of irregular waves from a perforated-wall caisson breakwater using a regular wave model. The first method is to approximate the irregular waves as a regular wave whose height and period are the same as the root-mean-squared wave height and significant wave period, respectively, of the irregular waves. The second is to use the regular wave model, repeatedly, for each frequency component of the irregular wave spectrum. The wave period is determined according to the frequency of the component wave, and the root-mean-squared wave height is used for all the frequencies. The third method is the same as the second one except that the wave height corresponding to the energy of each component wave is used. Comparison with experimental data from previous authors shows the second method is the most adequate, giving reasonable agreement in both frequency-averaged reflection coefficients and reflected wave spectra.

REFLECTION SYMMETRIES OF THE q-GENOCCHI POLYNOMIALS

  • Ryoo, Cheon-Seoung
    • Journal of applied mathematics & informatics
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    • v.28 no.5_6
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    • pp.1277-1284
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    • 2010
  • One purpose of this paper is to consider the reflection symmetries of the q-Genocchi polynomials $G^*_{n,q}(x)$. We also observe the structure of the roots of q-Genocchi polynomials, $G^*_{n,q}(x)$, using numerical investigation. By numerical experiments, we demonstrate a remarkably regular structure of the real roots of $G^*_{n,q}(x)$.

Wave Reflection and Transmission from Buoyant Flap Typed Storm Surge Barriers - Hydraulic Experiments (부유 플랩형 고조방파제의 파랑 반사 및 전달 - 수리실험)

  • Jeong, Shin-Taek;Kim, Jeong-Dae;Ko, Dong-Hui;Kim, Dong-Hyawn;Park, Woo-Sun
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.20 no.2
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    • pp.238-245
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    • 2008
  • To evaluate wave reflection and transmission from buoyant flap-typed storm surge barriers, hydraulic experiments were performed by using regular and irregular wave conditions. Buoyant flap-typed storm surge barriers consist of buoyant main body connected with foundation structure in the seabed by hinge. The characteristics of wave reflection, transmission and dynamic response of the structure were investigated for 36 regular and 4 irregular wave conditions. It was also evaluated the usage of plain plate attached on the buoyant main body as one of alternatives to control wave reflection and transmission. From the hydraulic experiments, it was found that the case of plain plate attached on the offshore side is very effective to improve the wave transmission as well as reflection. But, the effect of the case on the harbor side might be negligible.

Reflection and Transmission of Regular Waves by Multiple-Row Curtainwall-Pile Breakwaters (다열 커튼월-파일 방파제에 의한 규칙파의 반사 및 투과)

  • Suh, Kyung-Duck;Ji, Chang-Hwan
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.18 no.2
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    • pp.97-111
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    • 2006
  • Using the eigenfunction expansion method, a mathematical model has been developed to calculate the reflection and transmission of regular waves from a multiple-row curtainwall-pile breakwater. In addition, hydraulic model experiments have been conducted with different values of porosities between the piles, drafts of the curtain walls, and distances between the rows of the breakwater. It is found that the reflection and transmission coefficients decrease and increase, respectively, with decreasing relative water depth, but they bounce to increase and decrease, respectively, as the relative water depth decreases further. When either the porosity between the piles or the draft of the curtain wall is changed with other parameters fixed, the relative magnitudes of the reflection and transmission coefficients have been changed, but the general trend remained the same. When the wavelength is the same as the distance between the rows of the breakwater, a rapid change was observed for the reflection and transmission coefficients. A good agreement between the measurement and prediction was also founded for three-row breakwaters.

REFLECTIONS OF COMPLETELY REGULAR AND ZERO-DIMENSIONAL QUASI-ORDERED SPACES

  • Shin, Seon-Ho
    • The Pure and Applied Mathematics
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    • v.10 no.1
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    • pp.25-35
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    • 2003
  • We study equivalent definitions and some categorical properties of completely regular quasi-ordered spaces and zero-dimensional quasi-ordered spaces. Using the o-completely regular (resp. o-zero-dimensional) filters on a completely regular (resp. zero-dimensional) quasi-ordered space, we show that the category COMPOS (resp. ZCOMPOS) of compact (resp. compact zero-dimensional) partially ordered spaces is reflective in the category CRQOS (resp. ZQOS) of completely regular (resp. zero-dimensional) quasi-ordered spaces and continuous isotones.

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