• 한국방재학회:학술대회논문집
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• 2011.02a
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• pp.56-56
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• 2011

본 연구에서는 파랑의 변형을 예측하는 방법 중 하나인 고유함수전개법을 이용하여 축대칭 형태의 지형 위를 통과하는 파랑의 소멸파 성분을 검토하였다. 기울기와 곡률이 변하는 지역에 고유함수 전개법을 적용하여 해석할 때 필요한 적절한 구간의 수와 소멸파 성분의 개수를 산정하였다. 고유함수전개법을 이용하여 파랑의 변화를 예측하는 연구는 Bremmer(1951)가 전자기파에 적용하면서 처음 제시한 후 Takano(1960)가 파랑 변형 연구에 적용하면서 본격적으로 진행되었다. 이밖에 Kirby and Dalymple(1983), Liu et al.(1992), Cho and Lee(2000), Bender and Dean(2003), 조용식과 이창훈(1998) 및 강규영 등(2007)에 의해 국내 외로 많은 연구가 진행되었다. 그러나 기존의 연구의 대부분이 연직 2차원 지형에 대하여 수행되어 왔다. 3차원 지형에 대한 고유함수전개법은 Bender and Dean(2005)에 의해 처음으로 시작되었다. 그러나 그들의 연구에서는 수렴해를 얻기 위한 구간 및 소멸파 개수에 관한 구체적인 검토가 이루어지지 않았다는 한계가 있다. 그러나 실제 해저 지역은 다양한 지형의 영향을 받게 된다. 따라서 본 연구에서는 축대칭 지형에 대하여 수렴해를 얻기 위해 구간을 나누어 해의 수렴성을 확인하여 적절한 구간의 수를 결정한 후 소멸파의 수를 변화시키면서 소멸파가 파랑의 변형에 미치는 영향을 검토하였다. 천해역 및 중간수심 영역을 구간의 수와 소멸파 성분의 수에 변화를 주면서 수렴성 검사를 한 결과, 천해 영역에서는 소멸파 성분의 영향이 적게 나타났으나 중간수심 영역에서는 적절한 개수의 소멸파를 고려해야 보다 정확한 예측을 할 수 있음을 알 수 있었다.

• Journal of Korea Water Resources Association
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• v.35 no.5
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• pp.563-573
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• 2002

In this study, reflection of water waves over a train of rectangular submerged breakwaters is experimentally investigated. Measured reflection coefficients of regular waves are compared with predicted coefficients obtained from the eigenfunction expansion method. Although measured coefficients are slightly smaller than predicted ones, the overall agreement is very good.

• Journal of Korea Water Resources Association
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• v.33 no.6
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• pp.805-814
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• 2000

A numerical model based on the boundary element method is employed to describe diffraction of monochromatic water waves due to varying topographies. The model is firstly verified by comparing obtained reflection and transmission coefficients of waves over a trench to those of the eigenfunction expansion method. The model is then used to investigate the Bragg reflection of waves over sinusoidally varying topographies. Calculated reflection coefficients are compared to available laboratory measurements and semi-theoretical results. A reasonably good agreement is observed.served.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.13 no.3
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• pp.189-194
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• 2001

The present study describes the Bragg reflection of monochromatic water waves propagating over a train of doubly-sinusoidally varying topographies. A numerical model based on the boundary element method is firstly verified by calculating reflection and transmission coefficients of waves over a trench. Calculated solutions are compared with those of the eigenfunction expansion method. The model is then used to simulated reflection of monochromatic water waves propagating over doubly-sinusoidally varying bottom topographies. Obtained reflection coefficients are compared with those of available laboratory measurements, those of the eigenfunction expansion method and the extended mild-slope equation. A reasonable agreement is shown.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.21 no.2
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• pp.91-107
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• 2009

In order to compute linear wave transformation over a single step bottom, both variational approximation and eigenfunction expansion method are used. Both numerical results are in good agreement for reflection and transmission coefficients, surface displacement respectively. However x velocity profiles at the boundary of step are seen to be different to each other even though x velocity matching condition is used.

• Journal of the Korean Society for Marine Environment & Energy
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• v.5 no.3
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• pp.35-44
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• 2002

In this paper, the analytic studies on the wave control performance of moored pontoon-type floating breakwater are presented. A two-dimensional eigenfunction expansion method is adopted to study the motion responses and the transmission coefficients of pontoon-type floating breakwater in beam waves. The stiffness coefficients of mooring line are idealized as linear elastic spring. Comparison of the analytical results with a numerical results (FEM) shows good agreement over a wide range of frequencies. The performance of mooed pontoon-type floating breakwater is tested with various design parameters such as sectional geometry, mooring line characteristics and wave frequencies. It is found that the properly designed floating breakwater can be an effective wave control structure.

• Journal of Korea Water Resources Association
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• v.37 no.9
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• pp.729-736
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• 2004

Analysis of reflection of random waves propagating over rectangular submerged non-porous breakwaters was performed by using the eigenfunction expansion method. In this study, random waves were generated by superposition of several monochromatioc waves. Reflection coefficients were calculated by summing each numerical results of regular waves. Predicted results from the eigenfunction expansion method were in a good agreement with the results of laboratory measurements. Reflection coefficients of random waves were also resonated at the Bragg reflection condition.

• Journal of Korea Water Resources Association
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• v.35 no.6
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• pp.677-684
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• 2002

In this study, a finite element model is employed to simulate the diffraction of waves caused by a change of water depths. The model is firstly applied to the estimation of reflection coefficients of monochromatic waves over a sinusoidally varying topography. Predicted coefficients are compared with those of the eigenfunction expansion method and laboratory measurements. A good agreement is observed. The model is then used to investigate effects of heights of bottom topography and number of ripples on variation of reflection coefficients of monocromatic water waves.

• Journal of Korea Water Resources Association
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• v.35 no.1
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• pp.91-96
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• 2002

The present research describes the Bragg reflection of obliquely incident waves propagating over sinusoidally varying topographies. A numerical model based on the boundary element method is employed. Wave numbers providing Bragg reflection are calculated and compared to theoretical predictions. The reflection coefficients obtained from this model are also compared with those of the eigenfunction expansion method. A very good agreement is observed.

• Journal of Korea Water Resources Association
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• v.40 no.11
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• pp.899-908
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• 2007

In this study, wave reflection due to depression of seabed is calculated by using eigenfunction expansion method. The proper numbers of steps and evanescent modes needed for analysis are suggested by applying the eigenfunction expansion method to bottom topography of which slope or curvature varies. While satisfying shallow or intermediate water depth condition, the optimal figure of depression of seabed is obtained by calculating reflection coefficient for various depressions of seabed. The reflection coefficient with distance between the depression of seabeds is then calculated after arraying the optimal geometry in two and three rows.