• Title/Summary/Keyword: Kinematic wave

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Modified grid-based KIneMatic wave STOrm Runoff Model (ModKIMSTORM) (격자기반의 운동파 강우유출모형 KIMSTORM의 개선)

  • Jung, In-Kyun;Shin, Hyung-Jin;Park, Jin-Hyeog;Kim, Seong-Joon
    • Proceedings of the Korea Water Resources Association Conference
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    • 2008.05a
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    • pp.254-258
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    • 2008
  • 본 연구는 격자기반 운동파 강우유출모형 KIMSTORM(grid-based KIneMatic wave STOrm Runoff Model)의 기능을 개선하고 적용성을 평가하는 것이다. KIMSTORM은 김성준(1998)이 개발한 분포형 강우유출모형으로 포화상태의 지표흐름 및 토양수분상태의 시공간적인 분포를 파악할 수 있다. UNIX C++ 언어로 개발되었으며, GRASS 형태의 ASCII Grid를 입출력하도록 구성되어 있는 모형으로 UNIX 운영체제에서 구동이 가능하다. 그러나 UNIX와 GRASS는 최근에 많이 이용되지 않는 추세로 KIMSTORM 모형을 이용한 홍수유출해석이 적극적으로 활용되는데 주요 제약사항이 되어 왔다. 본 연구에서는 KIMSTORM을 윈도우즈 환경에서 운영될 수 있도록 FORTRAN 90을 이용하여 재개발하였으며 주요개선 사항으로, ESRI ASCII Grid 형태의 GIS(geographic information system) 자료 입력, 물리적 침투모의 방법인 GAML (Green-Ampt and Mein- Larson) 적용, 공간강우 입력가능, 정렬 알고리즘을 이용한 계산속도의 개선, 모형 자료입력 등 전처리 기능개선, 계산결과의 자동평가 및 분포도출력 등 후처리 방식개선으로 요약할 수 있다. 개선된 모형 GAML에 의한 침투방법을 적용하여, 남강댐유역($2,293\;km^2$)의 6개 강우사상을 대상으로 결정계수, Nash & Sutcliffe 모형효율계수, 용적편차, 첨두유량의 상대오차, 첨두시간의 절대오차를 이용하여 적용성을 평가하였으며, 민감도분석결과 초기토양수분조건과 하천조도계수가 가장 큰 민감도를 나타내었다.

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A Numerical Solution. Method for Two-dimensional Nonlinear Water Waves on a Plane Beach of Constant Slope

  • Lee, Young-Gill;Heo, Jae-Kyung;Jeong, Kwang-Leol;Kim, Kang-Sin
    • Journal of Ship and Ocean Technology
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    • v.8 no.2
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    • pp.61-69
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    • 2004
  • Unsteady nonlinear wave motions on the free surface over a plane beach of constant slope are numerically simulated using a finite difference method in rectangular grid system. Two-dimensional Navier-Stokes equations and the continuity equation are used for the computations. Irregular leg lengths and stars are employed near the boundaries of body and free surface to satisfy the boundary conditions. Also, the free surface which consists of markers or segments is determined every time step with the satisfaction of kinematic and dynamic free surface conditions. Moreover, marker-density method is also adopted to allow plunging jets impinging on the free surface. The second-order Stokes wave theory is employed for the generation of waves on the inflow boundary. For the simulation of wave breaking phenomena, the computations are carried out with the plane beach of constant slope in surf zone. The results are compared with other existing experimental results. Agreement between the experimental data and the computation results is good.

A Fourier Series Approximation for Deep-water Waves

  • Shin, JangRyong
    • Journal of Ocean Engineering and Technology
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    • v.36 no.2
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    • pp.101-107
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    • 2022
  • Dean (1965) proposed the use of the root mean square error (RMSE) in the dynamic free surface boundary condition (DFSBC) and kinematic free-surface boundary condition (KFSBC) as an error evaluation criterion for wave theories. There are well known wave theories with RMSE more than 1%, such as Airy theory, Stokes theory, Dean's stream function theory, Fenton's theory, and trochodial theory for deep-water waves. However, none of them can be applied for deep-water breaking waves. The purpose of this study is to provide a closed-form solution for deep-water waves with RMSE less than 1% even for breaking waves. This study is based on a previous study (Shin, 2016), and all flow fields were simplified for deep-water waves. For a closed-form solution, all Fourier series coefficients and all related parameters are presented with Newton's polynomials, which were determined by curve fitting data (Shin, 2016). For verification, a wave in Miche's limit was calculated, and, the profiles, velocities, and the accelerations were compared with those of 5th-order Stokes theory. The results give greater velocities and acceleration than 5th-order Stokes theory, and the wavelength depends on the wave height. The results satisfy the Laplace equation, bottom boundary condition (BBC), and KFSBC, while Stokes theory satisfies only the Laplace equation and BBC. RMSE in DFSBC less than 7.25×10-2% was obtained. The series order of the proposed method is three, but the series order of 5th-order Stokes theory is five. Nevertheless, this study provides less RMSE than 5th-order Stokes theory. As a result, the method is suitable for offshore structural design.

A Study on a Quantitative Method in Estimating Forest Effects for Streamflow Regulation (II) - Mainly Dealing with Application of Coefficient for Slope Roughness - (삼림이수기능(森林理水機能)의 정량적(定量的) 평가방법(平價方法)에 관한 연구(硏究)(II) - 조도계수(粗度係數)의 응용(應用)을 중심(中心)으로 -)

  • Lee, Heon Ho
    • Journal of Korean Society of Forest Science
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    • v.81 no.4
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    • pp.337-345
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    • 1992
  • In this research, a kinematic wave model was applied for the runoff analysis, Regulation of streamflow was estimated by the calibration of roughness coefficient as a parameter. The data analyzed were obtained from Ananomiya and Shirasaka experimental basins at Tokyo University Forest in Aichi. Estimation methods and characteristics of roughness coefficient as a evaluation method of hydrological function of forest are summarized as follows ; 1. Roughness coefficient($N_s$) indicates the resistance of hillslope to the flowing water of surface runoff. There exists an hypothesis that resistance of hillslope to flowing water increase with the growth forest and development of the $A_o$ layer. 2. Roughness coefficient($N_s$) was estimated by the parameter when the stream direct runoff was calculated by using the kinematic wave. 3. Secular change of '$N_s$' in ananomiya has a curve which has an upper limit and increases exponentially near the limit. The curve quickly increased from 1935 to 1945 when results of afforestation for erosion control were thought to be effective. On the other hand, slight increase of '$N_s$' in Shirasaka indicates that there was not such a big change in the surface of soil layer. 4. The increase of '$N_s$' was related with decrease of direct runoff and increase of base flow. It was recognized that the rate of direct runoff decreased with the improvement of forest physiognomy and the rate of base flow was increased. But absolute value of water runoff per one storm decreased in chronological order.

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Two-Dimensional Model for the Prediction of Inundation Area in Urbanized Rivers (도시하천에서의 홍수범람도 작성을 위한 2차원 모형의 개발)

  • 한건연;박재홍
    • Water for future
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    • v.28 no.6
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    • pp.119-131
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    • 1995
  • Two-dimensional diffusion and kinematic hydrodynamic models have been studied for preparing the flood inundation map. The models have been tested by applying to one-dimensional dam-break problem. The results have good agreements compared with those of dynamic wave model. The diffusion wave model produces the mass conservation error close to zero. Floodwave analyses for two-dimensional floodplain with obstruction and channel-floodplain show both stable and efficient results. The model presented in this study can be used for flood inundation map and flood warning system.

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An Efficient Stair Locomotion Method of Quadruped Robot with Mechanism of Insectile Leg (곤충형 다리 구조를 갖는 4족 로봇의 효율적인 계단 보행 방법)

  • Byun, Jae-Oh;Choi, Yoon-Ho
    • The Journal of the Korea institute of electronic communication sciences
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    • v.10 no.3
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    • pp.395-402
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    • 2015
  • In this paper, we propose an efficient gait trajectory generation method for the static stair climbing of a quadruped robot with mechanism of insectile legs, which has no collision with staris. First, we derive the kinematic and inverse models of a quadruped robot using the algebraic and geometrical methods, respectively. In the proposed method, we generate the stair locomotion trajectory of a sine wave after lifting a leg from the start position, and then determine the coefficient of the generated trajectory to avoid the collision with stairs. In addition, we make the gait sequence for the stable stair locomotion. Finally, we verify the effectiveness and applicability of the proposed stair locomotion method through computer simulations.

GRID-BASED SOIL-WATER EROSION AND DEPOSITION MODELING USING GIS AND RS

  • Kim, Seong-Joon
    • Water Engineering Research
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    • v.2 no.1
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    • pp.49-61
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    • 2001
  • A grid-based KIneMatic wave soil-water EROsion and deposition Model(KIMEROM) that predicts temporal variation and spatial distribution of sediment transport in a watershed was developed. This model uses ASCII-formatted map data supported from the regular gridded map of GRASS (U.S. Army CERL, 1993)-GIS(Geographic Information Systems), and generates the distributed results by ASCII-formatted map data. For hydrologic process, the kinematic wave equation and Darcy equation were used to simulated surface and subsurface flow, respectively (Kim, 1998; Kim et al., 1998). For soil erosion process, the physically-based soil erosion concept by Rose and Hairsine (1988) was used to simulate soil-water erosion and deposition. The model adopts single overland flowpath algorithm and simulates surface and subsurface water depth, and sediment concentration at each grid element for a given time increment. The model was tested to a 162.3 $\textrm{km}^2$ watershed located in the tideland reclaimed ares of South Korea. After the hydrologic calibration for two storm events in 1999, the results of sediment transport were presented for the same storm events. The results of temporal variation and spatial distribution of overland flow and sediment areas are shown using GRASS.

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Sensitivity analysis of effective imperviousness estimation for small urban watersheds (도시 소유역 유효불투수율의 민감도 분석)

  • Kim, Dae Geun;Ko, Young Chan
    • Journal of Korean Society of Water and Wastewater
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    • v.23 no.2
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    • pp.181-187
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    • 2009
  • In this study, a runoff hydrograph and runoff volume were calculated by using the kinetic wave theory for small urban watersheds based on the concept of low impact development(LID), and the effective imperviousness was estimated based on these calculations. The degree of sensitivity of the effective imperviousness of small watersheds to the impervious to pervious area ratio, infiltration capability, watershed slope, roughness coefficient and surface storage depth was then analyzed. From this analysis, the following conclusions were obtained: The effective imperviousness and paved area reduction factor decreased as the infiltration capability of pervious area increased. As the slope of watersheds becomes sharper, the effective imperviousness and the paved area reduction factor display an increasing trend. As the roughness coefficient of impervious areas increases, the effective imperviousness and the paved area reduction factor tend to increase. As the storage depth increases, the effective imperviousness and the paved area reduction factor show an upward trend, but the increase is minimal. Under the conditions of this study, it was found that the effective imperviousness is most sensitive to watershed slope, followed by infiltration capability and roughness coefficient, which affect the sensitivity of the effective imperviousness at a similar level, and the storage depth was found to have little influence on the effective imperviousness.

Grid-Based Soil-Water Erosion and Deposition Modeling sing GIS and RS

  • Kim, Seong-Joon
    • Proceedings of the Korea Water Resources Association Conference
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    • 2001.05a
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    • pp.25-34
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    • 2001
  • A grid-based KIneMatic wave soil-water EROsion and deposition Model (KIMEROM) that predicts temporal variation and spatial distribution of sediment transport in a watershed was developed. This model uses ASCII-formatted map data supported from the regular gridded map of GRASS (U.S. Army CERL, 1993)-GIS (Geographic Information Systems), and generates the distributed results by ASCIIl-formatted map data. For hydrologic process, the kinematic wave equation and Darcy equation were used to simulate surface and subsurface flow, respectively (Kim, 1798; Kim et al., 1993). For soil erosion process, the physically-based soil erosion concept by Rose and Hairsine (1988) was used to simulate soil-water erosion and deposition. The model adopts sing1e overland flowpath algorithm and simulates surface and subsurface water depth, and sediment concentration at each grid element (or a given time increment. The model was tested to a 162.3 km$^2$ watershed located in the tideland reclaimed area of South Korea. After the hydrologic calibration for two storm events in 1999, the results of sediment transport were presented for the same storm events. The results of temporal variation and spatial distribution of overland flow and sediment areas are shown using GRASS.

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In-plane varying bending force effects on wave dispersion characteristics of single-layered graphene sheets

  • Cao, Yan;Selmi, Abdellatif;Tohfenamarvar, Rasoul;Zandi, Yousef;Kasehchi, Ehsan;Assilzahed, Hamid
    • Advances in nano research
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    • v.10 no.2
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    • pp.101-114
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    • 2021
  • An analytical investigation has been performed on the mechanical performance of waves propagated in a Single-Layered Graphene Sheet (SLGS) when an In-plane Varying Bending (IVB) load is interacted. It has been supposed that the Graphene Sheet (GS) is located on an elastic medium. Employing a two-parameter elastic foundation, the effects of elastic substrate on the GS behavior are modeled. Besides, the kinematic equations are derived by the means of a trigonometric two-variable refined plate theory. Moreover, in order to indicate the size-dependency of the SLGS, a Nonlocal Strain Gradient Theory (NSGT) was considered. The nonlocal governing differential equations are achieved in the framework of Hamilton's Principle (HP). Also, an analytical approach was used to detect the unknowns of the final eigenvalue equation. Finally, the effects of each parameters using some dispersion charts were determined.