• Title/Summary/Keyword: kinematic wave theory

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Build-Up a Kinematic Wave Routing System for the Catchment-Stream Complex (사면 및 하도 복합유출장의 단기 유출해석 시스템 개발)

  • Ha, Sung Ryong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.4
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    • pp.875-886
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    • 1994
  • This study is to develop an advanced storm runoff analysis program which takes geomorphological characteristics of watershed into consideration in determining model parameters. Basic concept of storm runoff modelling is based upon the kinematic wave theory. And numerical solution is obtained by the characteristic curve method. The storm runoff analysis program developed by this study is composed of multiple equivalent roughness sub-basins, each of which has two equivalent catchments on both side of a stream. Because it is based upon the stream-order of the Strahler system, the equivalent catchment-stream network reflects the stochastic geomorphological characteristics in the model parameter. Applicability and reliability of the storm runoff analysis program is evidenced by model calibration and verification process utilizing geographical and hydrological data of the Bocheong-river area which is a representative watershed of IHP projects in Korea. This study will hopefully contribute to hydrological calculation essentially required to understand water quality effect caused by regional development.

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On the Sediment Transport Characteristics of the Bottom Turbulent Boundary Layer (저면난류경계층(底面亂流境界層)의 저질이동특성(底質移動特性))

  • Kim, Nam Hyeong;Kiyoshi, Takikawa
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.2
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    • pp.267-277
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    • 1993
  • A finite element method(FEM) is presented and applied to the two-dimensional bottom turbulent boundary layer. The time-dependent incompressible motion of a viscous fluid is formulated by using the well-known Navier-Stokes equations and vorticity equation in terms of the velocity and pressure fields. The general numerical formulation is based on Galerkin method and solved by introducing the mixing length theory of Prandtl for eddy kinematic viscosity of a turbulent flow field. Numerical computations of the transport of sediment on an arbitrary sea-bed due to wave motion in the turbulent boundary layer are carried out. The results obtained by the FEM made clear the difference in characteristic features between the boundary layer due to oscillatory flow and the boundary layer due to wave motion.

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Grid-Based KlneMatic Wave STOrmRunoff Model (KIMSTORM)(I) - Theory and Model - (격자기반의 운동파 강우유출모형 개발(I) - 이론 및 모형 -)

  • Kim, Seong-Jun
    • Journal of Korea Water Resources Association
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    • v.31 no.3
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    • pp.303-308
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    • 1998
  • A grid-based KInematic were STOrm Runoff Model (KIMSTORM) with predicts temporal and spatial distributions of saturalted orerland flow, subsurface flow and stream flow in a watershed was developed. The model adopts the single overland flowpath algorithm and simulates surface and/or subsurface water depth at each grid element by using grid-based water balance of hydrologic components. The model which is programmed by C-language uses ASCII-formatted map data supported by the irregular gridded map of the GRASS(Geographic Resources Analysis Support System) GIS and generates the spatial distribution maps of discharge, flow depth and soil moisture within the watershed.

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Development of Analytical Solutions on Velocities of Regular Waves Generated by Bottom Wave Makers in a Flume (바닥 조파장치가 설치된 수로에서 규칙파의 유속장에 관한 해석해 개발)

  • Jung, Jae-Sang;Lee, Changhoon
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.34 no.3
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    • pp.58-71
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    • 2022
  • Analytical solutions for two-dimensional velocities of regular waves generated by bottom wave makers in a flume were derived in this study. Triangular and rectangular bottom wave makers were adopted. The velocity potential was derived based on the linear wave theory with the bottom moving boundary condition, kinematic and dynamic free surface boundary conditions. Then, analytical solutions of two-dimensional particle velocities were derived from the velocity potential. The velocity potential and two-dimensional particle velocities which were derived as complex integral equations were numerically calculated. The solutions showed physically valid results as velocities of regular waves generated by bottom wave makers in a flume.

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.

Investigation of the Characteristic Velocity of Geomorphologic Instantaneous Unit Hydrograph (지형형태학적 순간단위도의 특성속도에 대한 고찰)

  • Kim, Sang-Dan;Yu, Cheol-Sang;Yun, Yong-Nam
    • Journal of Korea Water Resources Association
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    • v.33 no.3
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    • pp.315-330
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    • 2000
  • The GIUH (Geomorphologic Instantaneous Unit Hydrograph) is to be applied to the ungauged or insufficiently gauged basins. For tIris purpose, an accurate estimation of the charactenstlc velocity is one very important part, but any proper method for this has not been developed yet. In case that we have enough rainfall and runoff clata, the estimation of the characteristic velocity may be an easy job, but it is out of the purpose of the GIUH. Remindmg that the purpose of GIUH the characterisbc veloclty should be estimated based on the geomorpholog1c analysis and also be snnple for easy apphcation. In tIris research analysis cmd application of the GruH was given to several sub-basins in Wi-stream river basin, Gono, Donggok and Hyoryung. After deriving the characteristic velocity througn a optimizatlOn process with real data, it is compared w1th several velOCIties der1ved from geOlnoI1Jhoclimatic instantaneous unit hydrograph theory and several other concentration time formulae. The estimated charactenstic velocities using Kerby, Kim, KInematic Wave, and Brasby- Williams formulae found to g1ve the appropriate results. Hmvever, as the Kerby, and the Kinematic Wave require user's decision of the IvIanning's n value, the K1m and the Braby-Williams seem to be more applicable and recommended as characteristic velocity formula.

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Runoff Analysis Considering the Distribution of Concentration Time and Slope Length for the Mountainous Small Watershed (사면(斜面)의 특성(特性)과 홍수도달시간(洪水到達時間)의 분포특성(分布特性)을 고려한 산지소유역(山地小流域)의 유출해석(流出解析))

  • Lee, Won Hwan;Cho, Hong Je
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.3 no.4
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    • pp.59-70
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    • 1983
  • In this paper, it deals with runoff analysis in a mountainous watershed where the concentration time of the river is much Shorter than that of slopes. The momentum and continuity equation are used as the basic expressions and they are solved by the kinematic wave theory. By the introducing the distribution of concentration time, representing the characteristics of topographical and hydraulic factors, into a solution. A response function is derived. Using the optimization technique (simplex Method), the response functions derived in this paper are tested by comparing the observed and the estimated values, and shows promising.

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An Analytical Solution for Regular Progressive Water Waves

  • Shin, JangRyong
    • Journal of Advanced Research in Ocean Engineering
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    • v.1 no.3
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    • pp.157-167
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    • 2015
  • In order to provide simple and accurate wave theory in design of offshore structure, an analytical approximation is introduced in this paper. The solution is limited to flat bottom having a constant water depth. Water is considered as inviscid, incompressible and irrotational. The solution satisfies the continuity equation, bottom boundary condition and non-linear kinematic free surface boundary condition exactly. Error for dynamic condition is quite small. The solution is suitable in description of breaking waves. The solution is presented with closed form and dispersion relation is also presented with closed form. In the last century, there have been two main approaches to the nonlinear problems. One of these is perturbation method. Stokes wave and Cnoidal wave are based on the method. The other is numerical method. Dean's stream function theory is based on the method. In this paper, power series method was considered. The power series method can be applied to certain nonlinear differential equations (initial value problems). The series coefficients are specified by a nonlinear recurrence inherited from the differential equation. Because the non-linear wave problem is a boundary value problem, the power series method cannot be applied to the problem in general. But finite number of coefficients is necessary to describe the wave profile, truncated power series is enough. Therefore the power series method can be applied to the problem. In this case, the series coefficients are specified by a set of equations instead of recurrence. By using the set of equations, the nonlinear wave problem has been solved in this paper.

An Analytical Study of Regular Waves Generated by Bottom Wave Makers in a 3-Dimensional Wave Basin (3차원 조파수조에서 바닥 조파장치에 의해 재현된 규칙파에 대한 해석적 연구)

  • Jung, Jae-Sang;Lee, Changhoon
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.34 no.4
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    • pp.93-99
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    • 2022
  • Analytical solutions for regular waves generated by bottom wave makers in a 3-dimensional wave basin were derived in this study. Bottom wave makers which have triangular, rectangular and combination of two shapes were adopted. The 3-dimensional velocity potential was derived based on the linear wave theory with the bottom moving boundary condition, kinematic and dynamic free surface boundary conditions in a wave basin. Then, analytical solutions of 3-dimensional particle velocities and free surface displacement were derived from the velocity potential. The solutions showed physically valid results for regular waves generated by bottom wave makers in a wave basin. The analytical solution for obliquely propagating wave generation from bottom wave maker which works like a snake was also derived. Numerical results of the solution agree well with theoretically predicted results.

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.