• Title/Summary/Keyword: Finite water depth

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Behaviors of Reflected and Transmitted Waves for Geometric Change of Submerged Breakwater (잠제의 형상 변화에 따른 반사파 및 투과파의 거동특성)

  • Lee, Cheol-Eung;O, Won-Taek
    • Journal of Industrial Technology
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    • v.20 no.A
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    • pp.139-148
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    • 2000
  • A numerical model is represented to calculate the wave fields such as the reflected waves, the transmitted waves, and depth averaged velocities over submerged breakwaters for the normally incident wave trains of nonlinear monochromatic wave. The numerical model is correctly formulated by using both the finite amplitude shallow water equations with the effects of bottom friction and the explicit dissipative Lax-Wendroff finite difference scheme, also satisfactorily verified by comparison with the other results. The behaviors of reflected and transmitted waves with respect to geometric parameters of submerged breakwater such as the slope, crest depth, and crest width are numerically analyzed in this study. In particular, the reflection and transmission coefficients are quantitatively calculated as the function of geometric parameter of submerged breakwater. It is found that the crest depth among parameters related to practical design may be the most important parameter in designing the submerged breakwater. Therefore, the effective and economic performances of submerged breakwater should be depended on the determination of optimal crest depth.

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Development of 2D Depth-Integrated Hydrodynamic and Transport Model Using a Compact Finite Volume Method (Compact Finite Volume Method를 이용한 수심적분형 흐름 및 이송-확산 모형 개발)

  • Kim, Dae-Hong
    • Journal of Korea Water Resources Association
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    • v.45 no.5
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    • pp.473-480
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    • 2012
  • A two-dimensional depth-integrated hydrodynamic and a depth-averaged passive scalar transport models were developed by using a Compact Finite Volume Method (CFVM) which can assure a higher order accuracy. A typical wave current interaction experimental data set was compared with the computed results by the proposed CFVM model, and resonable agreements were observed from the comparisons. One and two dimensional scalar advection tests were conducted, and very close agreements were observed with very little numerical diffusion. Finally, a turbulent mixing simulation was done in an open channel flow, and a reasonable similarity with LES data was observed.

A Numerical Study to Evaluate the Resistance Performance of a Ro-Pax Hull Form in Shallow Water (Ro-Pax 선형의 천수역에서 조파저항성능 평가를 위한 수치적 연구)

  • Hong, Chun-Beom;Shin, Soo-Chul;Kim, Jung-Joong;Choi, Soon-Ho
    • Journal of the Society of Naval Architects of Korea
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    • v.42 no.4 s.142
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    • pp.315-321
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    • 2005
  • The effect of water depth on the wave making resistance performance is great where Froude number based on the water depth is close to one. The increase of wave making resistance due to the shallow water effect is evaluated by a numerical analysis in the present study. Three-dimensional Navier-Stokes and continuity equations are employed for the present study and the equations are discretized by finite difference method. The interface between water and air is determined by the level set method. In order to validate the numerical method, the change of resistance performance for Wigley hull according to the water depth is evaluated and the computed resistance coefficient is compared with measured one. The present numerical method is applied for the simulation of wave phenomena around a Ro-Pax hull form and the computed results are discussed in the resistance performance point of view.

Investigation of the Effect of Water Depths on Two-dimensional Hydrodynamic Coefficients for Twin-hull Sections (쌍동체(雙胴體)에 작용(作用)하는 2차원 유체력계수(流體力係數)의 수심(水深)의 변화(變化)에 따른 영향(影響)에 관한 고찰(考察))

  • K.P.,Rhee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.19 no.4
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    • pp.39-45
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    • 1982
  • A floating rig, which has been used to develop the ocean resources has a common characteristics with the catamaran ship that it is composed of the two simple hulls. So the motion responses of the floating rig can be predicted theoretically with the aid of the strip method as those of the catamaran. And for the strip method, the two-dimensional hydrodynamic coefficients are the most important inputs to predict the results accurately. In this report, a theoretical method is proposed for calculating two-dimensional hydrodynamic forces and moments acting upon arbitrary shaped twin-hull cylinders, which are forced to make a heaving, swaying and rolling oscillation about their mean position on the free surface of a finite depth water. The theoretical results by making use of the singularity distribution method are presented. The accuracy of the coefficients was confirmed to be reasonable by the comparison with the Ohkusu's results for two circular cylinders in an infinite depth water. The depth effects on two-dimensional hydrodynamic coefficients for two circular cylinders are also checked. In some range of wave numbers, large differences in the behavior of hydrodynamic coefficients between for a finite depth and for an infinite depth are shown.

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Field Measurements of Wave Directionality in Water of Finite Depth

  • Memos, Constantine;Ziros, Athanassios
    • Ocean and Polar Research
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    • v.25 no.4
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    • pp.437-446
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    • 2003
  • Field measurements of directional waves were carried out during the summer of 2002 at two coastal sites in water of finite depth. A couple of general purpose instruments were used employing acoustic Doppler technology. The aim of the study was to investigate the spatial behavior of the directional movement of waves as they come ashore. In total,74 tests were carried out during which sea states of low to moderate intensity were recorded. A great number of these runs displayed bimodal characteristics of the spreading function at high frequencies. It was found that in general, the frequency-integrated directional width tends to broaden as the water shoals and when refraction effects are negligible. This is attributed to wave-wave interactions that become pronounced in shallow water. The same directional width showed, also, a tendency to increase with increasing peak frequency of the sea state spectrum. The behavior of the kurtosis of the spreading function was also examined. It was found that for higher frequencies this index tends to increase in wave spectra above a certain sea severity threshold.

A Study on the Behavior of Flexible Riser for Upwelling Deep Ocean Water by a Numerical Method (수치해석적 방법을 통한 해양심층수 취수용 유연 라이저의 거동 해석에 관한 연구)

  • JUNG DONG-HO;KIM HYEON-JU;PARK HAN-IL
    • Journal of Ocean Engineering and Technology
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    • v.18 no.4 s.59
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    • pp.15-22
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    • 2004
  • Static and dynamic analyses of a very flexible and light riser, for upwelling the deep ocean water, is performed. In this numerical study, an implicit finite difference algorithm is employed for three-dimensional riser equations. Fluid non-linearity and bending stiffness are considered and solved, using the Newton-Raphson iteration. Maintaining the depth of end point of a flexible and light riser is very important for upwelling deep ocean water in a floating type development system. Weight is attached at the end point of the riser in order to maintain its intake depth. It is designed under the strong surface current and the configuration of the rise is predicted. In the dynamic analysis, the tension variation at the top point of the riser is presented. T e results of this study can contribute to the design of the development system in floating type for upwelling deep ocean water.

SU/PG Model Evaluation for river dynamics (자연하천 해석을 위한 SU/PG 모형의 개발)

  • Han, Kun Yeun;Park, Kyung Ok;Baek, Chang Hyun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2004.05b
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    • pp.1331-1334
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    • 2004
  • Wet/Dry phenomena typically incorporate a number of complex flow mechanism. These include a momentum transfer and turbulent mixing caused by the delivery of water. However currently available one dimensional schemes applicable to wet/dry process cannot effectively simulate such process. Two dimensional finite element model, SU/PG, is used to simulate complex flow in this study. The Wetted Area Method in SU/PG allows elements to transition gradually between wet and dry states. The model is applicable to a straight river reach with irregular bathymetry. Wet/dry calculation using the wetted area method can simulate simple numerical test. The computed results of velocity vectors and water depth agree with those of observed. The methodology Presented in this study will contributed to two-dimensional wet/dry analysis in a river in this country.

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A Computational Method of Wave Resistance of Ships in Water of Finite Depth (유한수심에서의 조파저항계산에 관하여)

  • S.J. Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.2
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    • pp.66-72
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    • 1992
  • A computational method of the Michell integral for water of finite depth is developed and the method makes use of the expansion of the hull form by the Legendre polynomial in both the longitudinal and the vertical directions. The wave resistance coefficient is given as a quadruple summation of the product of the shape factor and the hydrodynamic factor. The shape factor depends only upon the geometry of the hull form, and the hydrodynamic factor upon the depth-based Froude number and the ratios of the water depth and the draft to the ship length. Example calculations are done for the Wigley parabolic hull and the Series 60 $C_B$ 0.6, and the comparison of our results with the existing experimental data is shown.

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MASS TRANSPORT IN FINITE AMPLITUDE WAVES

  • ;Robert T. Hudspeth
    • Proceedings of the Korea Water Resources Association Conference
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    • 1988.07a
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    • pp.29-36
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    • 1988
  • A general scheme is developed which determines the Lagrangian motions of water particles by the Eulerian velocity at their mean positions by use of Taylor's theorem. Utilizing the Stokes finite-amplitude wave theory, the mass transport velocity which includes the effects of higher-order wave components is determined. The fifth-order theory predicts the mass transport velocity less than that given by the existing second-order theory over the whole depth. Limited experimental data for changes in wave celerity in closed wave flumes are compared with the theoretical predictions.

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Effect of hydraulic lining-ground interaction on subsea tunnels (라이닝-지반 수리상호작용이 해저터널에 미치는 영향)

  • Shin, Jong-Ho;Park, Dong-In;Joo, Eun-Jung
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.10 no.1
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    • pp.49-57
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    • 2008
  • One of the most important design concerns for undersea tunnels is to establish design water load and flow rate. These are greatly dependent on the hydraulic factors such as water head, cover depth, hydraulic boundary conditions. In this paper, the influence of the hydraulic design factors on the ground loading and the inflow rate was investigated using the coupled finite element method. A horse shoe-shaped tunnel constructed 30 m below sea bottom was adopted to evaluate the water head effect considering various water depth for varying hydraulic conditions and relative permeability between lining and ground. The effect of cover depth was analysed for varying cover depth with the water depth of 60 m. The results were considered in terms of pore water pressure, ground loading and flow rate. Ground loading increases with an increase in water head and cover depth without depending on hydraulic boundary conditions. This points out that in leaking tunnels an increase in water depth increases seepage force which consequently increases ground loading. Furthermore, it is identified that an increase in water head and cover depth increases the rate of inflow and a decrease in the permeability ratio reduces the rate of inflow considerably.

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