• Title/Summary/Keyword: 완경사

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Elliptic Numerical Wave Model Solving Modified Mild Slope Equation (수정완경사방정식의 타원형 수치모형)

  • YOON JONG-TAE
    • Journal of Ocean Engineering and Technology
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    • v.18 no.4 s.59
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    • pp.40-45
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    • 2004
  • An efficient numerical model of the modified mild slope equation, based on the robust iterative method is presented. The model developed is verified against other numerical experimental results, related to wave reflection from an arc-shaped bar and wave transformation over a circular shoal. The results show that the modified mild slope equation model is capable of producing accurate results for wave propagation in a region where water depth varies substantially, while the conventional mild slope equation model yeilds large errors, as the mild slope assumption is violated.

Parabolic Approximation Model for Wave Deformation Prediction in the Shallow Water (천해파랑 변형예측을 위한 포물형 근사 모델)

  • 이동수;김숭경
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 1992.08a
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    • pp.84-89
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    • 1992
  • 파랑변형 예측모델로서는 타원형 편미분 방정식 형태인 완경사 방정식(Berkhoff, 1972)이 있으며 이는 파랑의 굴절, 회절, 반사등의 변형을 재현할 수 있으나 수치해석상 어려운점이 있으며 많은 기억용량과 계산시간이 소요되어 일반적이지 못한 단점이 있다.(중략)

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Effect of fill material of gabion drop structures in open channel on subflow (개수로 돌망태 낙차공의 채움재가 복류에 미치는 영향)

  • Kim, Yong Hyun;Son, Sang Jin;Shin, Seung Suk;Park, Sang Deog
    • Proceedings of the Korea Water Resources Association Conference
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    • 2022.05a
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    • pp.277-277
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    • 2022
  • 급경사 산지하천은 호우 시 퇴적 하상이 붕괴하여 하천 유사량을 급격히 증가시키는 계곡형 토석류가 발생하고 도로와 교량에 피해를 일으키기도 한다. 이러한 하천재해를 저감하기 위하여 돌망태 낙차공을 설치하여 하상 안정을 강화하고 급경사에 따른 유수에너지를 줄일 수 있다. 급경사 하상에 설치한 돌망태 낙차공은 하류부 하상의 국부세굴에 따른 파괴위험이 완경사 하상의 경우에 비하여 높으므로 이를 줄이기 위한 연구가 필요하다. 이 연구에서는 광폭경사조절 개수로에 돌망태 낙차공을 설치하고 낙차공의 채움재가 복류의 특성에 미치는 영향을 파악하기 위하여 수리실험을 하였다. 수리실험에서는 최대 20º까지 경사를 조절할 수 있는 길이 1.44m, 폭 0.14m인 직사각형 단면 개수로에 SUS304 구슬을 사용하여 하상과 돌망태 낙차공을 설치하고 실험하였다. 구슬은 크기에 따라 작은구슬(10.31mm), 중간구슬(15.08mm), 큰구슬(20.63mm)을 사용하고, 하상에는 작은구슬을 깔았다. 낙차공의 크기는 길이 16cm이고 폭과 높이는 12cm이며, 돌망태는 작은구슬을 사용한 단일돌망태와 구슬 크기를 달리한 계층돌망태로 구분하였다. 계층돌망태의 상층은 작은구슬, 중층은 중간구슬, 하층은 큰구슬이 채움재로 사용되었다. 단일돌망태의 공극율은 0.399이고 계층돌망태의 공극률은 상층 0.393, 중층 0.517, 하층 0.54이다. 실험유량의 변화는 낙차공 하단부에서 표면류가 발생하지 않는 범위로 한정하였다. 낙차공 하단에서 상류 68cm 지점의 소류력과 낙차공 내부 복류의 수면경사를 측정하였다. 그 결과 단일돌망태보다 계층돌망태가 소류력과 수면경사가 더 작은 것으로 나타났으며 돌망태의 공극을 통한 통수능 차이 때문인 것으로 판단된다.

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A Linear Wave Equation Over Mild-Sloped Bed from Double Integration (이중적분을 이용한 완경사면에서의 선형파 방정식)

  • Kim, Hyo-Seob;Jung, Byung-Soon;Lee, Ye-Won
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.12 no.3
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    • pp.165-172
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    • 2009
  • A set of equations for description of transformation of harmonic waves is proposed here. Velocity potential function and separation of variables are introduced for the derivation. The continuity equation is in a vertical plane is integrated through the water so that a horizontal one-dimensional wave equation is produced. The new equation composed of the complex velocity potential function, further be modified into. A set up of equations composed of the wave amplitude and wave phase gradient. The horizontally one-dimensional equations on the wave amplitude and wave phase gradient are the first and second-order ordinary differential equations. They are solved in a one-way marching manner starting from a side where boundary values are supplied, i.e. the wave amplitude, the wave amplitude gradient, and the wave phase gradient. Simple spatially-centered finite difference schemes are adopted for the present set of equations. The equations set is applied to three test cases, Booij's inclined plane slope profile, Massel's smooth bed profile, and Bragg's wavy bed profile. The present equations set is satisfactorily verified against existing theories including Massel's modified mild-slope equation, Berkhoff's mild-slope equation, and the full linear equation.

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Effects of Surface Compaction Treatment on Soil Loss from Disturbed Bare Slopes under Simulated Rainfalls (인공강우 시 나지교란사면 토사유출에 미치는 다짐처리의 영향)

  • Park, Sang Deog;Shin, Seung Sook;Kim, Seon Jeong;Choi, Byoungkoo
    • Journal of Korea Water Resources Association
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    • v.46 no.5
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    • pp.559-568
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    • 2013
  • Surface compaction significantly impacts runoff and soil erosion under rainfall since it leads to changes of soil physical characteristics such as increase of bulk density and shear stress, change of microporosity, and decrease of hydraulic conductivity. This study addressed surface compaction effects on runoff and soil loss from bare and disturbed soils that are commonly distributed on construction sites. Thirty-six rainfall simulations from three replicates of each involving rainfall intensities (68.5 mm/hr, 95.6 mm/hr) and plot gradients ($5^{\circ}$, $12.5^{\circ}$, $20^{\circ}$) were conducted to measure runoff and soil loss for two different soil surface treatments (compacted surface, non-compacted surface). Compacted surface increased significantly soil bulk density and soil strength. However, the effect of surface treatments on runoff changed with rainfall intensity and plot gradient. Rainfall intensity and plot gradient had a positive effect on mean soil loss. In addition, the effect of surface treatments on soil loss responded differently with rainfall intensity and plot gradient. Compacted surfaces increased soil loss at gentle slope ($5^{\circ}$) while they decreased soil loss at steep slope ($20^{\circ}$). These results indicate that there exists transitional slope range ($10{\sim}15^{\circ}$) between gentle and steep slope by surface compaction effects on soil loss under disturbed bare soils and simulated rainfalls.

A Case Study of Spillway Design of Soyanggang Dam (소양강댐 보조여수로 설계 사례 소개)

  • Han, Byeong-Hyeon;Yun, Su-Ho;Kim, Tae-Hyeok;Lee, Jung-U;Lee, Myeong-Seop
    • Magazine of the Korean Society of Hazard Mitigation
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    • v.6 no.2 s.21
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    • pp.52-70
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    • 2006
  • 최근 잦은 기상이변과 대규모 태풍(2002년 루사, 2003년 매미 등)에 의해 기존 댐의 안정성이 미흡한 것으로 판단됨에 따라 최대가능홍수량(PMF) 유입시 소양강 댐의 수문학적 안정성 확보와 용수공급량 및 발전용량의 확보, 댐 주변 노후시설의 자연 친화적 개보수에 의한 친환경적 공간창출과 이로 인한 관광 수요 증대에 따른 지역경제 활성화를 목적으로 기존 여수로에 추가하여 보조여수로가 계획되었다. 보조여수로는 수리적 특성, 지반조건, 인문사회적 여건 및 문화재 등 기타 기반여건을 감안하여 1,276.4m와 1,206.4m, 2련 14도 완경사 터널식 여수로로 설계되었으며 터널은 폭 $14{\sim}25m$의 대단면으로 계획되었다. 보조여수로는 유입부 및 유출부 구조물, 천이부터널 및 일반터널, 개착터널로 계획되었으며 각 구조물의 수문학적 안정성을 바탕으로 설계되었다.

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Transformation of Long Waves Propagating over Trench (트렌치 위를 통과하는 장파의 변형)

  • Jung, Tae-Hwa;Suh, Kyung-Duck;Cho, Yong-Sik;Park, Sung-Hyun
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.19 no.3
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    • pp.228-236
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    • 2007
  • An analytical solution for long waves propagating over an asymmetric trench is derived. The water depth inside the trench varies in proportion to a power of distance from the center of the trench. The mild-slope equation, governing equation, is transformed into second order ordinary differential equation with variable coefficients by using the long wave assumption and then the analytical solution is obtained by using the power series technique. The analytical solution is confirmed by comparison with the numerical solution. After calculating the analytical solution under various conditions, the results are analyzed.

Development of Weakly Nonlinear Wave Model and Its Numerical Simulation (약비선형 파랑 모형의 수립 및 수치모의)

  • 이정렬;박찬성
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.12 no.4
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    • pp.181-189
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    • 2000
  • A weakly nonlinear mild-slope equation has been derived directly from the continuity equation with the aid of the Galerkin's method. The equation is combined with the momentum equations defined at the mean water level. A single component model has also been obtained in terms of the surface displacement. The linearized form is completely identical with the time-dependent mild-slope equation proposed by Smith and Sprinks(1975). For the verification purposes of the present nonlinear model, the degenerate forms were compared with Airy(1845)'s non-dispersive nonlinear wave equation, classical Boussinesq equation, andsecond¬order permanent Stokes waves. In this study, the present nonlinear wave equations are discretized by the approximate factorization techniques so that a tridiagonal matrix solver is used for each direction. Through the comparison with physical experiments, nonlinear wave model capacity was examined and the overall agreement was obtained.

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