• Title/Summary/Keyword: Shallow Water Equation

Search Result 148, Processing Time 0.024 seconds

Finite Element Model for the Hydrodynamic Analysis in a River (하천에서의 동수력학적 유동해석을 위한 유한요소모형의 개발)

  • 한건연;이종태;김홍태
    • Water for future
    • /
    • v.26 no.3
    • /
    • pp.87-101
    • /
    • 1993
  • A finite element model RIV-FEM2 for the hydrodynamic study in a river is developed based on two-dimensional shallow water wave equation and dissipative Galerkin's method. RIV-FEM2 consists of pre-processing, analysis processing and post-processing. Pre- and analysis processing is programmed with Fortran-77 and post-processing with turbo-Pascal respectively. The model is tested with two dimensional problems, including flow through bends, bridges, and symmetric contraction. The two dimensional tests shows stable and efficient results for various situations. Applicability of the model is verified by applying to natural river. The model will provide a basic contribution to the hydrodynamic analysis in a river.

  • PDF

A Study on Unsteady Free Surface Flow Simulation Using Two-Dimensional Finite Volume Method (2차원 유한체적법을 이용한 비정상상태 자유수면 모의에 관한 연구)

  • Jeong, Woo-Chang;Hwang, Man-Ha
    • Proceedings of the Korea Water Resources Association Conference
    • /
    • 2008.05a
    • /
    • pp.664-668
    • /
    • 2008
  • 본 연구에서는 비정상상태 자유수면 모의를 위해 2차원 유한체적법을 이용한 수치모형을 개발하였으며, 이론적인 해석해 및 수리실험을 통한 실측자료를 이용하여 검증하였다. 개발된 모형은 지배방정식으로 비선형 및 보존형 2차원 천수방정식(shallow water equation)을 이용하였으며, 동적메모리 할당 기능이 포함된 Fortran-90으로 코딩되었다. 또한 구조화된 격자 및 비구조화 격자 시스템에도 적용될 수 있도록 모형을 구성하였으며, 불규칙한 하상지형에 의해 수치진동을 감소시키기 위해 본 모형에 well-balanced HLLC 기법을 적용하였다. 모형의 적용성을 검증하기 위하여 1차원의 경우 젖은/마른 하상 조건하에서의 댐 붕괴파 문제와 하상이 변화하는 지형 구간을 통과할 때 발생되는 천이류에 대한 문제 그리고 시간에 따라 변화하는 수위와 지형 조건에서의 wetting & drying에 대한 문제에 적용하였으며, 2차원의 경우 전통적인 댐 붕괴파 문제 및 구조물에 미치는 댐 붕괴파의 영향에 대한 수리모형실험을 통한 실측자료를 이용하여 검증하였다. 검증결과 본 모형을 통해 계산된 수치해는 이론적인 해석해와 실측자료에 거의 정확히 일치하였으며, 향후 실제 하천 자료를 이용하여 모형의 현장 적용성을 검증할 것이다.

  • PDF

The differences in the potential energy anomaly for analyzing mixing and stratification between 2D and 3D model

  • Minh, Nguyen Ngoc;Hwang, Jin Hwan
    • Proceedings of the Korea Water Resources Association Conference
    • /
    • 2015.05a
    • /
    • pp.240-240
    • /
    • 2015
  • As Simpson et al. (1990) emphasized the importance of the straining process in the stratification and mixing in the estuarine circulation process, various researches have investigated on the relative contribution of each process to the overall potential energy anomaly dynamics. However, many numerical works have done only for two dimensional modeling along channel or the short distance cross sectional three dimensional simulations as Burchard et al. (2008) and the estuarine channel was not simulated so far. But, in the study on the physics of shallow coastal seas, spatial dimension in the three dimensional way affects significantly on results of a particular numerical model. Therefore, the comparison of two and three dimensional models is important to understand the real physics of mixing and stratification in an estuary. Also, as Geyer and MacCready (2013) pointed out that the lateral process seems to be important in determining the periodic stratifications, to study such process the three dimensional modeling must be required. The present study uses a numerical model to show the signification roles of each term of the time-dependent dynamic equation for the potential energy anomaly (PEA) in controlling along and lateral channel flows and different stratification structures. Moreover, we present the relationships between the ${\Phi}$-advection, the depth mean straining, vertical mixing and vertical advection can explain well how water level, salinity distribution and across velocity 2D model are slightly different from 3D.

  • PDF

On the Characteristics of the Water Quality Changes due to the Development Phases of Pusan Port (부산항의 개발단계별 수질환경변동특성에 관한 연구)

  • 고영찬;김종인;류청로
    • Journal of Ocean Engineering and Technology
    • /
    • v.14 no.3
    • /
    • pp.11-19
    • /
    • 2000
  • This study aims to examine the characteristics of the water quality variation in relation to the change of water exchange rate with respect to the development phases of the Pusan port. To clarify the characteristics, water exchange caused by the variations of coastline shape and water surface area was examined by the numerical experiments using the Lagrangian particle tracking model based on 2-D shallow water equation. As the results of numerical experiments, it was proved that the water exchange in the Pusan port was decreased mainly due to the port development and the breakwaters construction. During the port development phases from 1875 to 1998, 35% of the sea-space in the port had decreased to make hinterland spaces. This resulted in the loss of wet-land and coastline change as well as decrease of the water exchange rate at the sea side. The city population in that period had rapidly increased from several thousands to 4 millions, resulting in the large discharge of sewages into the port area. Under the these environmental conditions, it can be clearly said that the water quality in the Pusan port is sensitively affected by the discharge of urban sewages decrease of the water exchange rate in relation to port and urban developments. In the study, the temporal changes of water quality were discussed with respect to the port development phases. It was clear that the water quality wad controlled by the exchange rate change under the port development as well as the input impact into the port from the urbanized city area. To make clean sea of the Pusan port, it is suggested that the sewage control, the water exchange and coastline control should be systematically checked under the concept of eco-friendly development and environmental management.

  • PDF

Open Boundary Treatment of Nonlinear Waves in the Shallow Water Region by Boundary Element Method (경계요소법에 의한 파동장에 있어서 비선형파의 가상경계처리)

  • ;Kiyoshi Takikawa
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.3 no.3
    • /
    • pp.176-183
    • /
    • 1991
  • In this paper. boundary element method is applied to the analysis of nonlinear free surface wave. A particular concern is given to the treatment of the open boundaries at the in-flow boundary and out-flow boundary, which uses the mass-flux and energy-flux considering the continuity of fluid. By assuming the fluid to be inviscid and incompressible and the flow to be irrotational. the problem is formulated mathematically as a two-dimentional nonlinear problem in terms of a velocity potential. The equation(Laplace equation) and the boundary conditions are transformed into two boundary integral equations. Due to the nonlinearity of the problem. the incremental method is used for the numerical analysis. Numerical results obtained by the present boundary element method are compared with those obtained by the finite element method and also with experimental values.

  • PDF

An Implicit Numerical Method for Two-Dimensional Tidal Computation (음해법에 의한 2차원 조류유동 계산법)

  • Sun-Young Kim;Mu-Seok Song
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.35 no.1
    • /
    • pp.1-14
    • /
    • 1998
  • A two-dimensional numerical model for tidal currents based on the depth averaged equation is developed. The mode1 employs a rectangular grid system for its simplicity in the application of complicate coastal shore lines. To raise computing efficiency, implicit approximate factorization scheme is implemented in solving governing equations. An upwind-differencing is used to discretize convective terms, which provides a numerical dissipation automatically and suppresses any oscillations caused by nonlinear instabilities. Some numerical tests are made against the analytic solutions of a linearized shallow water equation to validate the developed numerical scheme, and comparisons of the model prediction with the analytic solution are satisfactory. As a real application, the tidal currents are computed on the Inchon area where the tidal currents are important for the design of new canal which is under construction.

  • PDF

A Study on the Methods to Improve High-Wave Reproducibility during Typhoon (태풍 내습 시의 고파 재현성 개선방안 연구)

  • Jong-Dai, Back;Kyong-Ho, Ryu;Jong-In, Lee;Weon-Mu, Jeong;Yeon-S., Chang
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.34 no.6
    • /
    • pp.177-187
    • /
    • 2022
  • This study estimates the design wave in the event of a typhoon attack at Busan new port using the wind field, the revised shallow water design wave estimation method proposed by the Ministry of Oceans and Fisheries in 2020, and proposed a reliable method of calculating the shallow water design through verification with the wave observation data. As a result of estimating typhoon wave using the wind field and SWAN numerical model, which are commonly used in the field work, for typhoon that affected Busan new port, it was found that reproducibility was not good except typhoons KONG-REY(1825) and MAYSAK(2009). In particular, in the case of typhoon MAEMI(0314), which had the greatest impact on Busan new port, the maximum significant wave height was estimated to be about 35.0% smaller than that of the observed wave data. Therefore, a plan to improve the reproducibility of typhoon wave was reviewed by applying the method of correcting the wind field and the method of using the Boussinesq equation numerical model, respectively. As a result of the review, it was found that the reproducibility of the wind field was not good as before when the wind field correction. However as a method of linking wind field data, SWAN model results, and Boussinesq numerical model, typhoon wave was estimated during typhoon MAEMI(0314), and the maximum significant wave was similar to the wave observations, so it was reviewed to have good reproducibility.

Two-Dimensional Finite-Volume Unsteady-Flow Model for Shocks (충격파 모의를 위한 이차원 유한체적 비정상 흐름 모형)

  • Lee, Gil-Seong;Lee, Seong-Tae
    • Journal of Korea Water Resources Association
    • /
    • v.31 no.3
    • /
    • pp.279-290
    • /
    • 1998
  • The height and speed of the shock wave are critical data in flood-control operations or in the design of channel walls and bridges along rivers with high flow velocities. Therefore, a numerical model is needed for simulating flow discontinuity over a wide range of conditions. In this study, a governing equation. As a Riemann solver Roe(1981)'s one is used. The model employs the modified MUSCL for handling the unstructured grids in this research. this model that adopts the explicit tradditional twl dimmensional dam break problems, two hydraulic dam break model is simulations, and a steady state simulation in a curved channel. Conclusions of this research are as follows : 1) the finite volume method can be combined with the Godonov-type method that is useful for modeling shocks. Hence, the finite volume method is suitable for modeling shocks. 2) The finite volume model combined with the modified MUSCL is successful in modeling shock. Therefore, modified MUSCL is proved to be valid.

  • PDF

Numerical Simulations of Breaking Waves above a Two-Dimensional Submerged Circular Cylinder

  • Kim, Seung-Nam;Lee, Young-Gill
    • Journal of Ship and Ocean Technology
    • /
    • v.5 no.2
    • /
    • pp.50-61
    • /
    • 2001
  • In this paper, nonlinear interactions between water waves and a horizontally submerged circular cylinder are numerically simulated. In this case, the nonlinear interactions between them generated a wave breaking phenomenon. The wave breaking phenomenon plays an important role in the wave farce. Negative drifting forces are raised at shallow submerged cylinders under waves because of the wave breaking phenomenon. For the numerical simulation, a finite difference method based on the unsteady incompressible Navier-Stokes equations and the continuity equation is adopted in the rectangular grid system. The free surface is simulated with a computational simulation method of two-layer flow by using marker density. The results are compared with some existing computational and experimental results.

  • PDF

Tsunami Warning System of the Korea Meteorological Administration using Tsunami Scenario Database (지진해일 시나리오 데이터베이스를 활용한 기상청 지진해일 감시체계)

  • Sheen, Dong-Hoon;Hwang, Eui-Hong;Lee, Duk-Kee;Jeon, Young-Soo
    • 한국방재학회:학술대회논문집
    • /
    • 2007.02a
    • /
    • pp.148-151
    • /
    • 2007
  • The Korea Meteorological Administration has been operating a tsunami warning system which is based on tsunami scenario database for the East Sea. Recently, the tsunami scenario database for the Yellow sea and the East China sea is also generated so that the tsunami warning system is extended to the whole Korean seas. Tsunami scenario database includes tsunami arrival times and heights generated by performing huge numbers of tsunami propagation simulations. A leap-frog method for shallow water equation is used for the simulation. The simulation code is parallellized via Message Passing Interface and has run on Cray X1E.

  • PDF