• Title/Summary/Keyword: mild-slope equation

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Fast Simulation of Wind Waves along the Korean Coast Induced by Typhoon Nabi, 2005 (태풍 나비에 의한 한국 연안 태풍파의 신속 모의)

  • Lee, Jung-Lyul;Lim, Heung-Soo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2006.05a
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    • pp.567-573
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    • 2006
  • An efficient typhoon wave-generating model is applied to northeast Asia sea zone presented that can be used by civil defense agencies for real-time prediction and fast warnings on typhoon-generated wind wave and storm surge. Instead of using commercialized wave models such as WAM, SWAN, the wind waves are simulated by using a new concept of wavelength modulation to enhance broader application of the hyperbolic wave model of the mild-slope equation type. The results simulated along the Korean coasts during Typhoon Nabi (2005) showed reasonable agreement with the recorded wind waves.

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Wave Inundation at Mokpo Harbor (목포항에서의 풍파로 인한 범람)

  • Lee, Jung-Lyul;Kang, Juo-Hwan;Moon, Seung-Rok;Lim, Heung-Soo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2006.05a
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    • pp.574-578
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    • 2006
  • Tidal amplification by construction of the sea-dike and sea-walls had been detected not only near Mokpo Harbor but also at Chungkye Bay which is connected with Mokpo Harbor by a narrow channel. This brings about increase of tidal flat area and in particular increase of surge-wave combined runup during storms. The purpose of this study is to examine an efficient operational model that can be used by civil defense agencies for real-time prediction and fast warnings on wind waves and storm surges. Instead of using commercialized wave models such as WAM, SWAN, the wind waves are simulated by using a new concept of wavelength modulation to enhance broader application of the hyperbolic wave model of the mild-slope equation type. Furthermore, The predicting system is composed of easy and economical tools for inputting depth data of complex bathymetry and enormous tidal flats such as Mokpo coastal zone. The method is applied to Chungkye Bay, and possible inundation features at Mokpo Harbor are analyzed.

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Application of time-dependent wave equations to random waves over ripple patch

  • Lee, Chang-Hoon;Suh, Kyung-Doug;Park, Woo-Sun
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 1996.10a
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    • pp.109-114
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    • 1996
  • In a linear dispersive system, the combined effect of water wave frnnsformations such as refraction, diffraction, shoaling, and reflection can be predicted by the mild-slope equation which was developed by Berkhoff (1972) using the Galerkin-eigenfunction method. In the derivation of the equation, he assumed a mild slope of the bottom $\nabla$h/kh << 1 (where $\nabla$ is the horizontal gradient operator, k is the wavenumber, and h is the water depth) and thus neglected second-order bottom effect terms proportional to O($\nabla$h)$^2$ and O($\nabla$$^2$h). (omitted)

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Calmness Analysis of Jeju Harbor by Finite Element Technique

  • Kim, Nam-Hyeong;Hur, Young-Teck
    • Journal of Ocean Engineering and Technology
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    • v.17 no.1
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    • pp.16-20
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    • 2003
  • 본 연구에서는 입사파에 의한 항내 정온도 계산 시 사용되는 수치해석 기법에 대한 검증 및 실제 항만에 대한 적용을 하였다. 해석기법은 유한요소기법 (finite element technique) 을 사용하였고 기본방정식은 경계조건과 마찰을 고려한 완경사방정식 (mild-slope equation) 을 사용하였다. 해석의 검증을 위하여 임의형상 항만에 대해 본 해석법을 적용하여 수치해석을 실시한 결과와 다른 수치해석결과 및 실험결과를 비교했을 때 좋은 일치를 나타내었다. 제주항에 대해서 2가지의 각기 다른 입사파 조건을 적용하여 계산한 결과 제주항이 방파제 설계파인 NNW방향 (Case 2)인 경우가 NE 방향 (Case 1)인 경우보다 약간 양호한 정온을 확보하는 것을 알 수 있었다.

Simulation of Wave-Induced Currents by Nonlinear Mild-Slope Equation (비선형 완경사 방정식에 의한 연안류의 모의)

  • 이정렬;박찬성;한상우
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.13 no.1
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    • pp.46-55
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    • 2001
  • An approach using the nonlinear wave model in predicting wave-induced currents is presented. The model results were compared with those of the conventional model using phase-averaged radiation stress, and in addition with experimental data captured by a PIV system. As a result of comparison of wave-induced currents generated behind the surface-piercing breakwater and submerged breakwater, eddy patterns appeared to be similar each other but in general numerical solutions of both models were underestimated.

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Decomposition of Reflecting Waves by Hyperbolic Model (쌍곡선형 모델에 의한 반사파 성분 분해)

    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.10 no.4
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    • pp.197-203
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    • 1998
  • An approach of decomposing the reflecting components is proposed by using the mild-slope equation of hyperbolic type which has the similar form to the shallow water equations. The approach is verified on Booij's problem and sinusoidally varying ripples. Inclusion of higher-order bottom effect given by chamberlain and Porter(1995) yields even more satisfactory results than the Berkhoff's mild-slope equation when compared with finite element solution or experiments.

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A Numerical Model of PCGM for Mild Slope Equation (완경사 파랑식에 대한 PCGM 수치모형)

  • 서승남;연영진
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.6 no.2
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    • pp.164-173
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    • 1994
  • A numerical model to solve mild slope equation is developed by use of a preconditioned conjugate gradient method (PCGM). In the present paper. accurate boundary conditions and a better preconditioner are employed which are improved from the existing method of Panchang et al. (1991). Computational procedures are focused on weakly nonlinear waves, and emerged problems to make a more accurate model are discussed. The results of model are tested against laboratory results of both circular and elliptic shoals. Model results of wave amplitude show excellent agreement with laboratory data and thes thus model can be used as a powerful tool to calculate wave transformation in shallow waters with complex bathymetry.

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Comparison of PCGM Algorithms for Mild Slope Equation (완경사 파랑식에 대한 PCGM 연산방식 비교)

  • 서승남
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.6 no.2
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    • pp.186-195
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    • 1994
  • In order to make an accurate and fast numerical method based on Preconditioned Conjugate Gradient Method(PCGM), several methods are presented including the exising method such as Bayliss or at. (1983) or Panchang et al. (1991). The results of the methods are compared with the analytical linear solution of plane waves over a constant depth. After advantages and disadvanteges of the methods are discussed. both accuracy and convergence of them are analyzed. The method developed in the paper is proved. by means of tests. to be the best method to solve the mild slope equation numerically.

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The Effect of Wave Control in the Harbor by the Fixed Floating Structure (고정 부유 구조물에 의한 항만정온도의 제어효과)

  • Kim H.P.;Lee J.W.
    • Journal of Korean Port Research
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    • v.7 no.1
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    • pp.79-88
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    • 1993
  • This study deals with the case of a fixed floating structure(FFS) at the mouth of a rectangular harbor under the action of waves represented by the linear wave theory. Modified forms of the mild-slope equation is applied to the propagation of regular wave over constant water depth. The model is extended to include bottom friction and boundary absorption. A hybrid element approximation is used for calculation of linear wave oscillation in and near coastal harbor. Modification of the model was necessary for the FFS. For the conditions tested, the results of laboratory experiments by Ippen and Goda(1963), and Lee (1969) are compared with the calculated one from this model. The cases of flat cylinderical structures, both fixed and floating, were taken to be in an intermediate water depth.

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