• Title/Summary/Keyword: 천수계수

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Numerical Simulation of Hydraulic Jump (도수의 수치 모의)

  • Hwang, Seung-Yong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.43 no.6
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    • pp.749-762
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    • 2023
  • A depth-integrated model with an approximate Riemann solver for flux computation of the shallow water equations was applied to hydraulic jump experiments. Due to the hydraulic jump, different flow regimes occur simultaneously in a single channel. Therefore, the Weisbach resistance coefficient, which reflects flow conditions rather than the Manning roughness coefficient that is independent of depth or flow, has been employed for flow resistance. Simulation results were in good agreement with experimental results, and it was confirmed that Manning coefficients converted from Weisbach coefficients were appropriately set in the supercritical and subcritical flow reaches, respectively. Limitations of the shallow water equations that rely on hydrostatic assumptions have been revealed in comparison with hydraulic jump experiments, highlighting the need for the introduction of a non-hydrostatic shallow-water flow model.

Frictional Wave Energy Dissipation Factor on Uniform Sloping Beach (일정경사면에서의 파에너지 바닥마찰손실계수)

  • Yoo, Dong-Hoon;Eum, Ho-Sik;Jang, Moon-Yup
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.22 no.2
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    • pp.73-78
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    • 2010
  • Wave energy is dissipated mainly by friction on the seabed until the waves reach the surf zone. Many researchers have investigated the mechanism of wave friction and the bottom shear stress induced by wave motion at a certain point is now well estimated by introducing the wave friction factor related to the near bed velocity given by linear wave theory. The variation of wave energy or wave height over a long distance can be, however, estimated by an iteration process when the propagation of waves is strongly influenced by bed friction. In the present study simple semi-theoretical equation has been developed to compute the variation of wave height for the condition of wave propagation on a constant beach slope. The ratio of wave height is determined by the product of shoalng factor and wave height friction factor (frictional wave energy dissipation factor). The wave height estimated by the new equation is compared with the wave height estimated by the solution of numerical integration for the condition that the waves propagate on a constant slope.

Change of Nearshore Random Waves in Response to Sea-level Rise (해수면 상승에 따른 연안 지역 불규칙파의 변화)

  • Cheon, Se-Hyeon;Suh, Kyung-Duck
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.25 no.4
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    • pp.244-254
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    • 2013
  • In this study, a method has been developed for estimating the change of nearshore random waves in response to sea-level rise, by extending the method proposed for regular waves by Townend in 1994. The relative changes in wavelength, refraction coefficient, shoaling coefficient, and wave height for random waves are presented as functions of relative change in water depth. The changes in wavelength and refraction coefficient are calculated by using the significant wave period and principal wave direction in the regular-wave formulas. On the other hand, the changes in shoaling coefficient and wave height are calculated by using the formulas proposed for shoaling and transformation of random waves in the nearshore area including surf zone. The results are proposed in the form of both formulas and graphs. In particular, the relative change in wave height is compared with the result for regular waves.

Velocity Distribution in Meandering Channel by Roughness Coefficient and Eddy Viscosity (조도계수와 난류점성계수에 따른 사행수로에서의 유속분포)

  • Seo, Il-Won;Song, Chang-Geun;Choi, Hwang-Jeong
    • 한국방재학회:학술대회논문집
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    • 2010.02a
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    • pp.97.1-97.1
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    • 2010
  • 본 연구에서는 천수방정식의 매개변수인 조도계수와 난류점성계수에 따른 사행수로에서의 유속분포를 수치모의하였다. 벽면조도계수와 텐서형 난류점성계수를 변화시켜 8가지 수치모의 조건을 구성하였으며, 만곡부 정점에서의 횡방향 유속분포를 수리실험에 의한 측정값과 비교하였다. 벽면조도계수가 커질수록 벽면에서의 유속이 감소하여 실측값과 가까워지지만 벽면 이외의 영역에서는 오히려 유속이 증가하여 실측값보다 커졌다. 난류점성계수가 커질수록 만곡부 내외측의 유속차는 작게 나타났으며 xx와 yy방향으로 가중된 난류점성계수를 가지는 경우가 xy방향으로 가중된 난류점성계수를 가지는 경우에 비해 내외측 유속차가 약간 작게 나타났다.

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Flux correction coefficient in numerical simulation of shallow-water flow over square-edged broad-crested weir (직각 광정 위어를 지나는 천수 흐름 모의에서 흐름률 보정 계수)

  • Seung-Yong Hwang
    • Proceedings of the Korea Water Resources Association Conference
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    • 2023.05a
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    • pp.503-503
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    • 2023
  • Hwang(2022; J.KWRA, 55, 10)은 수심 적분 모형으로 불연속 지형을 경사로 완화하지 않고 직접 해석하는 Hwang(2015; J.KSCE, 35, 6)의 기법이 적용된 수치 모형의 정확도를 높이기 위해 지형 전면에 실제로 작용하는 정수압 분포와 차이를 해명하는 흐름률 보정 계수(flux correction coefficient)를 도입하였다. 직각 광정 위어 실험 중에서 널리 알려진 다섯 가지 월류 실험으로부터 218회의 시행을 추려 실험과 모의에서 월류량 값이 서로 잘 일치하는 흐름률 보정 계수를 각각 산정하였는데, 이때 광정 위어를 지나는 흐름을 모의하기 위해 계산 영역을 평면 2차원으로 두고 삼각형 계산 격자로 분할하였다(Hwang, 2022). 실험에 사용된 실험 수로들이 수로의 길이 방향으로 그 폭이 일정하므로 옆벽의 영향이 크지 않다면 수로의 단위 폭에 모형을 적용함으로써 계산 영역의 차원을 한 수준 낮출 수 있다. 실질적으로 1차원 모의가 되어 모의 시간을 획기적으로 줄일 수 있으므로 다양한 분석이 가능하겠으나, 2차원 모의로부터 결정된 흐름률 보정 계수를 수정없이 그대로 적용하는 것이 적절한지 검토할 필요가 있다. 이 연구에서는 Hwang(2022)이 검토한 218회의 직각 광정 위어 실험 시행에 수로의 단위 폭에 불연속 지형을 직접 해석할 수 있는 Hwang(2015)의 1차원 모형을 적용하고 모의와 실험에서 월류량의 차이가 최소가 되는 흐름률 보정 계수를 각각 산정하였다. 결정된 흐름률 보정 계수의 평균값을 별도로 선정된 두 가지 직각 광정 위어 실험에 적용하였으며, 보정에 따른 모형의 성능을 평가하기 위해 Willmott의 일치 지표(index of agreement)를 이용하였다. 흐름률 보정 계수를 적용하였을 때, 한 실험 경우에 대해 모형의 성능이 대폭 개선됨을 확인하였고 성능 개선이 미미한 나머지 실험 경우는 보정 전에 일치 지표가 이미 상당히 높은 편이었다. 2차원 문제에 이어 1차원 모형의 적용에서도 흐름률 보정 계수를 결정함으로써 계단이나 직립 보와 같은 불연속 지형을 넘나드는 천수 흐름의 월류량을 더 쉽고 정확하게 파악할 수 있을 것으로 기대된다.

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Elliptic Numerical Wave Model Solving Modified Mild Slope Equation with Nonlinear Shoaling and Wave Breaking (비선형 천수와 쇄파를 고려한 수정완경사방정식의 타원형 수치모형)

  • Yoon, Jong-Tae
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.21 no.1
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    • pp.39-44
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    • 2009
  • To improve the accuracy of numerical simulation of wave trans- formation across the surf zone, nonlinear shoaling effect based on Shuto's empirical formula and breaking mechanism are induced in the elliptic modified mild slope equation. The variations of shoaling coefficient with relative depth and deep water wave steepness are successfully reproduced and show good agreements with Shuto's formula. Breaking experiments show larger wave height distributions than linear model due to nonlinear shoaling but breaking mechanism shows a little bit larger damping in 1/20 beach slope experiment.

Numerical analysis of shallow-water flow over the square-edged broad-crested weir (직각 광정 위어를 지나는 천수 흐름의 수치 해석)

  • Hwang, Seung-Yong
    • Journal of Korea Water Resources Association
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    • v.55 no.10
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    • pp.811-821
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    • 2022
  • Accuracy of a numerical model with the Hwang's scheme of directly analyzing discontinuous topography could be enhanced by introducing a flux correction coefficient that accounted for the deviation of actual pressure from hydrostatic distribution acting on the front of discontinuous topography. The optimal coefficient was determined from 218 experimental runs for square-edged broad-crested weir and simulation with it showed good agreement with another two square-edged broad-crested weir experiments and an unsteady side-weir experiment. This enabled accurate numerical simulation of shallow-water flow over the discontinuous river structure, such as square-edged broad-crested weir, without alleviating discontinuous topography with refined meshes or imposing internal boundary conditions.

Multiscale modeling for circular cylinder patch (원형 실린더 패치의 멀티스케일 모델링)

  • Choe, Yun-Yeong;Cheon, Su-Min
    • Proceeding of EDISON Challenge
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    • 2015.03a
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    • pp.580-584
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    • 2015
  • 수중 식생, 해양 구조물과 같은 복합 구조에 대하여 본 연구에서는 각각의 구조물을 원형 실린더로 가정하고, 구조물 다발 하나를 원형 실린더 패치로 가정하였다. 패치들의 배열을 계산할시 기존의 방법으로는 많은 격자가 필요하기 때문에 좀 더 효율적으로 외력의 특성을 파악할 방법을 살펴보았다. 계산 영역 내에서 평균화된 정보들을 통해서 이용하여 항력계수와 양력계수와 속도, 압력의 관계를 알아내는 모델링 방법을 해보았다.

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Prediction of Seasonal Nitrate Concentration in Springs on the Southern Slope of Jeju Island using Multiple Linear Regression of Geographic Spatial Data (지리 공간 자료의 다중회귀분석을 이용한 제주도 남측사면 용천수의 시기별 질산성 질소 농도 예측)

  • Jung, Youn-Young;Koh, Dong-Chan;Kang, Bong-Rae;Ko, Kyung-Suk;Yu, Yong-Jae
    • Economic and Environmental Geology
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    • v.44 no.2
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    • pp.135-152
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    • 2011
  • Nitrate concentrations in springs at the southern slope of Jeju Island were predicted using multiple linear regression (MLR) of spatial variables including hydrogeological parameters and land use characteristics. Springs showed wide range of nitrate concentrations from <0.02 to 86 mg/L with a mean of 20 mg/L. Spatial variables were generated for the circular buffer when the optimal buffer radius was assigned as 400 m. Selected regression models were tested using the p values and Durbin-Watson statistics. Explanatory variables were selected using the adjusted $R^2$, Cp (total squared error) and AIC (Akaike's Information Criterion), and significance. In addition, mutual linear relations between variables were also considered. Small portion of springs, usually <10% of total samples, were identified as outliers indicating limitations of MLR using circular buffers. Adjusted $R^2$ of the proposed models was improved from 0.75 to 0.87 when outliers were eliminated. In particular, the areal proportion of natural area had the greatest influence on the nitrate concentrations in springs. Among anthropogenic land uses, the influence of nitrate contamination is diminishing in the following order of orchard, residential area, and dry farmland. It is apparent quality of springs in the study area is likely to be controlled by land uses instead of hydrogeological parameters. Most of all, it is worth highlighting that the contamination susceptibility of springs is highly sensitive to nearby land uses, in particular, orchard.

Flow Characteristics of a Side-Weir in Rectangular Channel (구형 수로내 횡월류 흐름의 특성)

  • Park, Tae-Seon
    • Journal of Korea Water Resources Association
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    • v.35 no.3
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    • pp.251-259
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    • 2002
  • Flow characteristics occurring a side-weir overflow in rectangular channel is investigated in this study. A numerical model based on the two -dimensional shallow-water equations is employed to review the factors influencing on the side- weir overflow discharge and the change of flow depths and velocities. It is found that the discharge coefficient which has the most significant influence on the overflow is affected by geometric characteristics of a side-weir, Froude number of the main channel flow and the flow depth of the main channel at the starting point of a side-weir. And the discharge coefficient applicable to a practical design of a side-weir is proposed by deriving a relationship between Froude number of the main channel flow at the starting point of a side-weir and Froude number of the main channel flow.