• Title/Summary/Keyword: 운동파이론

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Numerical simulation of wave transformation with the internal wave maker (내부조파를 활용한 파랑 변형 수치모의)

  • Ha, Tae-Min;Cho, Yong-Sik
    • Proceedings of the Korea Water Resources Association Conference
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    • 2011.05a
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    • pp.43-43
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    • 2011
  • 최근 컴퓨터 기술의 발전으로 수심방향으로 완전한 운동방정식인 Navier-Stokes 방정식을 이용하는 3차원 수치모형에 의한 연구가 기초과학 분야인 수학에서부터 공학은 물론 의학 분야까지 광범위하게 진행되고 있다. 3차원 수치모형을 이용한 연구는 이론적으로 매우 우수하긴 하나 정확도 높은 결과를 얻기 위해서는 매우 조밀한 격자를 필요로 하기 때문에 아직까지 막대한 계산시간이 필요하다는 단점이 있으나 근래의 컴퓨터 기술이 엄청난 속도로 발전하고 있는 점을 감안할 때 적용 가능성은 계속 높아지고 있다. 이러한 흐름에 따라 해안공학 분야에서도 3차원 수치모형을 이용한 다양한 연구가 시도되고 있다. 복잡한 해안구조물로 인한 파랑변형 및 구조물의 안전성 등을 검토할 때 기존의 평면 2차원 수치모형이나 연직 2차원 수치모형으로는 재현이 힘들어 상대적으로 수치모형을 활용한 연구의 효용성이 낮았던 것에 비해 3차원 수치모형을 활용할 경우 복잡한 지형 및 구조물의 형상을 재현할 수 있기 때문에 좀 더 유용하게 사용될 수 있다. 한편, 파랑변형을 다루는 수치모형실험을 수행할 때 외부조파를 사용할 경우 구조물이나 지형에 의해 반사되어 나온 파랑이 조파지점에 도달할 때 실험영역으로 재 반사되는 문제가 발생한다. 이를 해결하기 위해 내부조파기법의 개발에 대한 연구가 필수적이었으며, 2차원 수치모형을 중심으로 그 연구가 매우 활발하게 진행되어 왔으나 Navier-Stokes 방정식 모형의 경우 상대적으로 연구가 미흡하였다. 본 연구에서는 3차원 Navier-Stokes 방정식 모형에서 내부조파기법을 도입하여 목표 파랑을 조파하였다. 수치모형은 Navier-Stokes 방정식을 엇갈림 격자체계에서 계산하는 유한차분모형으로 자유수면 추적에는 2차 정확도의 VOF(volume-of-fluid) 기법을 사용한다. 수치모형실험 결과를 일정한 수심을 전파하는 정현파의 해석해와 비교하였으며, 수치모형실험 결과가 비교적 정확하게 목표 파랑을 조파할 수 있음을 검증하였다.

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A Mathematical Modeling of Two-Dimensional Unsteady Flow for Long Waves in a Harbor (항내(港內) 장주기파(長週期波) 해석(解析)을 위한 2차원(二次元) 부정류(不定流)의 수학적(數學的) 모형(模型))

  • Lee, Jong Tae;Lee, Won Hwan
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.3 no.1
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    • pp.13-24
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    • 1983
  • A mathematical model for the two-dimensional unsteady flow was developed by introducing Abbott's implicit finite difference operator and double sweep algorithm, which could be applied to simulate the respose of a harbor against the intrusion of long waves through the entrance connected to open sea. In order to improve its accuracy corresponding to the field phenomena, bottom resistance, Coriolis force, wind effect terms were included and wave direction and radiating effect was considered. The result of seiche test was always stable and the amplitude was accurate. Some phase shift was occured, but it could be reduced by using small values of Courant number and many points per a wave length as well. A comparision with the Ippen and Goda's theoritical and hydraulic experimental works was fulfilled.

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Finite Element Analysis for Multiple Floating Breakwaters (다열 부유식 방파제의 유한요소 해석)

  • 정신택;박우선;이호찬
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.14 no.4
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    • pp.257-264
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    • 2002
  • This paper is concerned with the analysis of wave reflection and transmission from multiple floating breakwaters. Linear potential theory was used for modeling wave field, and the behaviors of the floating breakwaters was represented as linearized equation of motions. The boundary value problem for the wave field was discretized by Galerkin technique. The radiation condition at infinity was modeled as infinite elements developed by Park et al.(1991). The validation of the developed model was given through the comparison with hydraulic experimental data conducted by Park et al.(2000). The possibility for the application of multiple floating breakwaters was also discussed based on the numerical experiments.

Drift Forces on a Freely-Floating Sphere in Water of Finite Depth(I) -Momentum Theorem Method- (유한수심(有限水深)의 해상(海上)에서 규칙파(規則波)에 놓인 구(球)에 작용(作用)하는 표류력(漂流力)(I) -운동량(運動量) 이론(理論) 방법(方法)-)

  • H.S.,Choi;T.M.,Oh
    • Bulletin of the Society of Naval Architects of Korea
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    • v.20 no.4
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    • pp.33-40
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    • 1983
  • The drift force acting on a freely-floating sphere in water of finite depth is studied within the framework of a linear potential theory. A velocity potential describing fluid motion is determined by distribution pulsating sources and dipoles on the immersed surface of the sphere. Upon knowing values of the potential, hydrodynamic forces are evaluated by integrating pressures over the immersed surface of the sphere. The motion response of the sphere in water of finite depth is obtained by solving the equation of motion. From these results, the drift force on the sphere is evaluated by the momentum theorem, in which a far-field velocity potential is utilized in forms of Kochin function. The drift force coefficient Cdr of a fixed sphere increases monotononically with non-dimensional wave frequency ${\sigma}a$. On the other hand, in freely-floating case, the Cdr has a peak value at ${\sigma}a$ of heave resonance. The magnitude of the drift force coefficient Cdr in the case of finite depth is different form that for deep water, but the general tendency seems to be similar in both cases. It is to note that Cdr is greater than 1.0 when non-dimensional water depth d/a is 1.5 in the case of freely-floating sphere.

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An Efficient Algorithm in Spectral Fatigue Analysis of Ship Structures (선체의 스펙트럼 피로해석에 대한 효율적인 계산방법)

  • Jeung-Je Kim;Bum-Sang Yoon;Park-Dal-Chi Yang
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.4
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    • pp.93-101
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    • 1993
  • This paper deals tilth an efficient algorithm in spectral fatigue analysis of ship structures. The concept of stress influence coefficients is suggested in order to obtain stress transfer functions efficiently which are the structural responses for unit load components. Strip method is applied to obtain the motion response and pressure distributions exerted on the hull. Since a number of the structural analysis should be performed for the various wave frequencies and heading angles in the spectral analysis, the algorithm developed in this study improves the efficiency of the analysis. Finally, the calculation example with application to this concept is shown in this paper.

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A Study on Ultrasound Pulsed Doppler Systems for Sending the Blood Flow (혈류 진단을 위한 초음파 펄스 도플러 시스템에 관한 연구)

  • Kim, Seong-Ryul;Kim, Jin-Ha;Park, Song-Bae
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.21 no.5
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    • pp.33-40
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    • 1984
  • In the conventional pulsed doppler system, gated CW is used to excite a ultrasonic transducer so that a group of linear RF amplifiers are required to excite a ultrasonic array transducer in the scanning pulsed doppler system. A pulsed doppler system without linear high voltage RF amplifiers, which excites the transducer impulsively, is studied theoretically and experimentally. In this paper, an experimental 8-channel pulsed doppler system is implemented, which uses quadrature defection to detect the direction of motion and can compensate the attenuation effect. The designed pulsed doppler system shows the possibility of real time multichannel doppler flow meter.

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Performance Analysis of Wave Energy Converter Using a Submerged Pendulum Plate (몰수형 진자판을 이용한 파력발전장치의 성능해석)

  • Cho, Il Hyoung
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.20 no.2
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    • pp.91-99
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    • 2017
  • The parametric study was performed for performance enhancement of wave energy converter(WEC) using a submerged pendulum plate. The wave exciting moment and hydrodynamic moment were obtained by means of eigenfunction expansion method based on the linear potential theory, and then the roll response of a pendulum plate and time averaged extracted power were investigated. The optimal PTO damping coefficient was suggested to give optimal extracted power. The peak value of optimal extracted power occurs at the resonant frequency. The resonant peak and it's width increase, as the height and thickness of a pendulum plate increase. The mooring line installed at the end of the pendulum plate is effective for extracting wave energy because it can not only induce the resonance with the waves of the installation site but also increase the restoring moment in case of PTO-on. The WEC using a rolling pendulum plate suitable for the shallow water acts as breakwater as well as energy extraction device.

Runoff Analysis due to the Moving Rainstorms on the Nonsymmetric Basin Shapes (비대칭 유역형상에 대한 이동강우의 유출영향분석)

  • Jeon, Min-Woo
    • Journal of Wetlands Research
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    • v.11 no.1
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    • pp.1-13
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    • 2009
  • The influence of moving rainstorms to runoff was analysed for the nonsymmetric shaped basins using kinematic wave theory. The distribution types of moving rainstorms are uniform, advanced, delayed and intermediate type, the nonsymmetric shaped basins are square, oblong and elongated shape. The runoff hydrographs were simulated and the characteristics were compared with the symmetric shaped basins for the rainstorms moving up, down and cross the basins with various velocities. The smallest differences of peak runoff of symmetric and nonsymmetric basins are appeared in the case of elongated basin, and the largest differences are shown at the oblong basin for the downstream direction. The identical results are shown for the upstream direction. The greatest peak runoff differences are shown in the delayed type rainstorm and the smallest differences are in the advanced type rainstorm for the crossstream direction. The oblong shaped basin generates the longest peak time and shortest peak time for the elongated shape basin.

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Estimation of Sediment Transport and Influence Factor for the Prediction of Riverbed Changes (하천유역의 유사량 산정 및 하상변동 예측을 위한 영향인자의 평가분석)

  • Yun, Se-Ui;Lee, Jong-Tae;Jeong, Jae-Uk
    • Journal of Korea Water Resources Association
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    • v.30 no.5
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    • pp.561-570
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    • 1997
  • The feature of this paper is (1) to analyze the characteristics of rainfall-runoff relationship with kinematic wave theory, (2) to study the computational model to estimate the sediment yield, (3) to analyze the effects of bed change by transport formulas and the number of watershed division, and (4) to verify the model application with observation of channel data and measurement of rainfall, runoff, sediment discharge in Pyung-Chang River Basin. The calculated time of concentration of peak discharge occured little earlier than the actual, but the tendency of hydrograph coincided with observation. The shape of sediment hydrographs was similar to the water hydrograph. Based on above results, the applicability of the model was verified in detail. As the number of watershed division increased, the difference between the measured runoff and sediment values and the estimated ones decreased. The result of calculation with Yalin's formula for surface and Acker-White's one for channel gave the best agreement with the measured data among the six selected sediment transport foumulas.

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Runoff Analysis due to Moving Storms based on the Basin Shapes (I) - for the Symmetric Basin Shape - (유역형상에 따르는 이동강우의 유출영향분석(I) - 대칭유역형상 -)

  • Han, Kun Yeun;Jeon, Min Woo;Kim, Ji Sung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.1B
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    • pp.15-25
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    • 2006
  • Using kinematic wave equation, the influence of moving storms to runoff was analysised with a focus on watersheds. Watershed shapes used are the oblong, square and elongated shape, and the distribution types of moving storms used are uniform, advanced and intermediate type. The runoff hydrographs according to the rainfall distribution types were simulated and the characteristics were explored for the storms moving down, up and cross the watershed with various velocity. The shape, peak time and peak runoff of a runoff hydrograph are significantly influenced by spatial and temporal variability in rainfall and watershed shapes. A rain storm moving in the cross direction of channel flow produces a higher peak runoff than in the downstream direction and upstream direction. A peak runoff from a storm moving downstream exceeds that from a storm moving upstream. For storms moving downstream peak time was more delayed than for other storm direction in the case of elongated watershed. The runoff volume and time base of the hydrograph decreased with the increasing storm speed.