• 한국수자원학회논문집
• /
• 제48권11호
• /
• pp.957-967
• /
• 2015

측면 위어의 수위-유량 관계가 알려지지 않더라도, 저류지에 의한 홍수 조절 효과를 평가할 수 있는 2차원 수치모의에 대해 검토하였다. 수치해법으로서 천수방정식에 대해 유한체적법을 적용하고, 흐름률의 정확한 계산을 위해 근사 Riemann 해법을 도입하여 수심적분 2차원 수치모형을 구성하였다. 모의 결과를 수로와 저류지에서 자유월류와 잠긴 흐름이 발생되는 실험실 실험의 결과와 비교하였다. 자유 월류 상태에서 예측된 측면 위어의 유량 계수와 실험에 의한 그것 사이의 차이는 매우 작았다. 또한, 잠긴 흐름에 대한 모의 결과도 측정 결과와 잘 일치하였으며, 그 기구가 잘 재현되었다. 이 연구를 통해 2차원 수치모형으로 측면 위어에 대한 유량 계수를 정확하게 결정할 수 있으며, 저류지에 대한 홍수 방어능력의 검토 또한 상당한 수준의 정확도로 이루어질 수 있음이 확인되었다. 따라서 저류지의 계획, 설계안의 검토, 관리를 위한 기존 저류지의 평가 등에 이 모형의 실용적인 적용이 기대된다.

• International Journal of Ocean System Engineering
• /
• 제3권2호
• /
• pp.68-76
• /
• 2013

In this study, a 3D numerical model was used to predict nonlinear wave forces on a cylindrical pile installed in a shallow water region. The model was based on solving the viscous and incompressible Navier-Stokes equations for a two-phase flow (water and air) model and the volume of fluid method for treating the free surface of water. A new application was developed based on the cut-cell method to allow easy installation of complicated obstacles (e.g., bottom geometry and cylindrical pile) in a computational domain. Free-surface elevation, water particle velocities, and inline wave forces were calculated, and the results show good agreement with experimental data obtained by the Danish Hydraulic Institute. The simulation results revealed that the proposed model can, without the use of empirical formulas (i.e., Morison equation) and additional wave analysis models, reliably predict non-linear wave forces on an offshore wind turbine foundation installed in a shallow water region.

• 한국해안해양공학회지
• /
• 제7권4호
• /
• pp.313-320
• /
• 1995

일정 경사를 갖는 해안에 입사하는 같은 주기의 두개의 파열이 교차하는 경우에 대하여 천해역에서 파랑 변형에 대한 수치해석을 수행하였다. 본 모형은 파랑 에너지 평형 및 파랑운동 보존식에 기초하여, 시간과 수심에 대해 평균한 질량 및 수평방향 운동 보존방정식을 반복적으로 계산하여 해를 구하였다. 계산된 결과를 이용하여, 천해역에서 파열이 교차할 때 파고와 평균수위변동에 영향을 주는 입사 파향각 및 심해파고와 같은 매개변수 변화에 따른 파랑 변형에 대해 고찰하였다.

• 한국수자원학회논문집
• /
• 제35권4호
• /
• pp.443-452
• /
• 2002

본 연구에서는 지난 수십 년간 가장 파괴적인 지진해일로 기록된 1983년 동해에서 발생한 지진해일이 동해를 거쳐 우리나라 동해안으로 전파해오는 과정을 수치해석하였다. 천수방정식에 근거한 수치모형을 이용하였으며, 물리적 분산은 leap-frog 유한차분기법에 의해 발생하는 수치분산으로 어느 정도 대체하도록 하였다. 진원으로부터 지진해일 전파도와 파향선법에 의한 전파제적을 산정하였다.

• Ocean and Polar Research
• /
• 제22권2호
• /
• pp.81-90
• /
• 2000

Supposed construction of a large port in the mouth of Tuman River requires careful examination of possible unfavorable ecological consequences for the Far Eastern Federal Marine Reserve. Since the Tuman River is the largest source of suspended material and possible contaminants flowing into the sea, and in order to understand how this material is allocated in the coastal zone, analyses are needed to check possible pathways of water transport and circulation system in the region. Linearized shallow water equations were used for numerical simulation of the wind-driven circulation to the north off the Tuman River mouth. The model results satisfactorily agreed with in situ data. The model circulation patterns are largely dependent on the wind direction and are conformed by the distribution of bottom sediments, and by the location of organic carbon and some pollutants accumulation zones. The most unfavorable situation for the Marine Reserve is the case of the southwesterly wind; even with quite moderate wind, the waters polluted by the run-off from the Tuman River can attain the south section of the Marine Reserve during the diurnal period.

• Geomechanics and Engineering
• /
• 제13권2호
• /
• pp.217-235
• /
• 2017

The stability prediction of shallow buried tunnels is one of the most difficult tasks in civil engineering. The aim of this work is to predict the state of collapse in shallow tunnel in layered soils by employing non-associated flow rule and nonlinear failure criterion within the framework of upper bound theorem. Particular emphasis is first given to consider the effects of dilation on the collapse mechanism of shallow tunnel. Furthermore, the seepage forces and surface settlement are considered to analyze the influence of different dilation coefficients on the collapse shape. Two different curve functions which describe two different soil layers are obtained by virtual work equations under the variational principle. The distinct characteristics of falling blocks up and down the water level are discussed in the present work. According to the numerical results, the potential collapse range decreases with the increase of the dilation coefficient. In layered soils, both of the single layer's dilation coefficient and two layers' dilation coefficients increase, the range of the potential collapse block reduces.

• Korean Journal of Mathematics
• /
• 제23권1호
• /
• pp.11-27
• /
• 2015

Nonlinear partial differential equations are more suitable to model many physical phenomena in science and engineering. In this paper, we consider three nonlinear partial differential equations such as Novikov equation, an equation for surface water waves and the Geng-Xue coupled equation which serves as a model for the unidirectional propagation of the shallow water waves over a at bottom. The main objective in this paper is to apply the generalized Riccati equation mapping method for obtaining more exact traveling wave solutions of Novikov equation, an equation for surface water waves and the Geng-Xue coupled equation. More precisely, the obtained solutions are expressed in terms of the hyperbolic, the trigonometric and the rational functional form. Solutions obtained are potentially significant for the explanation of better insight of physical aspects of the considered nonlinear physical models.

• Coupled systems mechanics
• /
• 제7권1호
• /
• pp.95-109
• /
• 2018

The relevance of turbulent mixing in estuarine numerical models for stratified two-layer shallow water flows is analysed in this paper. A one-dimensional numerical model was developed for this purpose by extending an immiscible two-layer model with an additional source term, which accounts for turbulent mixing effects, namely the entrainment of fluid from the lower to the upper layer. The entrainment rate is quantified by an empirical equation as a function of the bulk Richardson number. A finite volume method based on an approximated Roe solver was used to solve the governing coupled system of partial differential equations. A comparison of numerical results with and without entrainment is presented to illustrate the influence of entrainment on both the salt-water intrusion length and lower layer dynamics. Furthermore, one example is given to demonstrate how entrainment terms may help to stabilize the numerical scheme and prevent a possible loss of hyperbolicity. Finally, the model with entrainment is validated by comparing the numerical results to field measurements.

• 물과 미래
• /
• 제24권3호
• /
• pp.83-94
• /
• 1991

본 논문은 차분형 천수방정식을 확장 칼만 필터로 변환하여 조석 예측을 시도하였다. 필터는 바닥마찰과 바람응력, 매개변수를 무작위 변수로 하는 추계학적 모형으로 구성되었으며 조위 및 유속과 함께 추정되도록 하였다. 물리적인 상황의 변화에 적응하도록 각 추정치들은 전파되고, 갱신된다. 본 모형에 서해안의 실측자료를 적용하여 조위의 예측을 실시한 결과, 이상 고조 기간동안에도 만족한 성과를 거두었다.

• Journal of applied mathematics & informatics
• /
• 제41권1호
• /
• pp.181-192
• /
• 2023

This work deals with the numerical modeling of dam-break flow over erodible bed. The mathematical model consists of the shallow water equations, the transport diffusion and the bed morphology change equations. The system is solved by central upwind scheme. The obtained results of the resolution of dam-beak problem is presented in order to show the performance of the numerical scheme. Also a comparison of central upwind and Roe schemes is presented.