• Proceedings of the Korea Water Resources Association Conference
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• 2015.05a
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• pp.43-43
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• 2015

천수방정식을 사용하는 초기 수치모형은 프로드수($F_4$)가 변화하는 흐름 즉, 상류방향과 하류방향으로 전파하는 홍수파를 동시에 해석하기 위해 중앙 차분기법이 필요한 상류(sub-critical flow)와 흐름방향에 따른 상류이송(upwinding)기법이 필요한 사류(super-critical flow)가 나타나는 흐름해석에서 어려움이 있었다. 하지만, 근사 Riemann 해법의 등장으로 흐름방향에 관계없이 특성선을 따라 정확한 상향가중기법의 적용이 가능하게 되어, 천수방정식을 지배방정식으로 하는 수치모형이 더욱 실용적으로 적용될 수 있도록 하였다. 따라서, 현재 근사 Riemann 해법은 Godunov 형 유한체적 기법, 불연속 Galerkin 혹은 Petrov-Galerkin 유한요소기법 그리고 Boussinesq 기법에도 적용되고 있으며, 특히 Godunov 형 유한체적기법과 결합한 근사 Riemann 해법은 댐 붕괴, 하천 범람 그리고 도시 및 해안지역 침수에 이르기까지 여러 가지 문제에 폭넓게 적용되고 있다. 지금까지 홍수 모델링에 적용된 Godunov형 유한체적모형은 정형 사각격자나 비정형 삼각격자 중에서 한가지의 격자 종류만을 적용한 연구가 주로 수행되었으며, 유한요소모형과 같이 이 두 가지 격자를 동시에 적용한 연구는 거의 이루어지지 않고 있다. 일반적으로, 삼각격자는 사각격자와 는 달리 연구유역의 경계나 지형이 복잡한 경우에도 큰 노력없이 격자의 생성이 가능하나, 격자와 노드의 수가 사각격자보다 많아 계산시간이 많이 소요되는 단점이 있다. 반면, 사각격자는 하천과 같이 선형으로 변하는 지형에 대해서는 표현하기가 용이하며 계산시간의 효율성도 뛰어나다. 본 연구에서는 하천, 도시 그리고 해안지역에서의 효율적이고 정확한 홍수 모델링을 위해 삼각 및 사각격자 그리고 이 두 격자를 동시에 고려한 하이브리드 격자의 적용이 가능한 Godunov형 2차원 유한체적 모형을 개발하였다. 그리고 개발모형을 정확해가 있는 댐 붕괴 문제, 실측치가 존재하는 실험하도 및 실제하도에 삼각, 사각 그리고 혼합격자를 생성하여 모의를 수행하고, 각 적용 격자에 따른 정확성과 효율성 및 장점과 단점을 연구하였다.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.7 no.4
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• pp.91-102
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• 1987

In this study, the finite element method using 8-node isoparametric element is developed theoretically and simulated to see the deformation of soil and plate, when the circular plate resting on Boussinesq's soil type is loaded axisymmetrically. The results of numerical analysis using the Mohr-Coulomb yield criterion, and experimental analysis are approximative, assuming that soil is elasto-plastic medium. The paper shows that the plastic zone of soil medium is displayed at the near the edge of plate at the first place; when the plastic zone of soil medium is linked around central axis, the external load is termed by critical load, and then the contact pressure changes abruptly, in this case it is approved to be the risk of shear failure.

• Geotechnical Engineering
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• v.12 no.3
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• pp.127-148
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• 1996

Recently, foundations of heavy structures such as bridge abutments have been built on slopes or near the crest of slopes at an increasing rate. Because the bearing capacity of such foundations is considerably lower than the bearing capacity of the same soil on a level ground, deep footings such as piles and caissons are often used. However, the costs of such methods are generally very high. One of the new techniques to overcome the problem is to place reinforcing members such as geosynthetics or metal strips horizontally at some depths beneath the footings. Rational methods of analysis to predict the bearing capacity of footings in reinforced slopes are therefore needed. This paper proposes an analytical method for estimating the increase in bearing capacity gained from the included horizontal strips or ties of tensile reinforcing in the foundation soil below the footing built near the crest of a slope. A failure mechanism, including the concept of'wide slab effect', adopted in the present study for analyzing the bearing capacity of foundations in reinforced slopes, is established through the observed model test behaviors described by Binquet SE Lee and Huang et al, and the Boussinesq solutions. The analytical results are then compared with the experimental data described in the paper by Huang et al. Also in order to properly evaluate the soil reinforcement interaction, typical pullout test values of the apparent friction coefficient, which usually vary with depths owing to both the increase of the shearing volume and the increase in local stress caused by soil dilatancy, are analyzed and related functionally. Furthermore, analytical parametric studies are carried out to investigate the effect and significance of various pertinent parameters associated with design of reinforced slope foundations. Keywords : Bearing capacity, Reinforced slope, Slab effect, Friction coefficient.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.31 no.6
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• pp.468-477
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• 2019

The numerical model of Boussinesq approximation, which is mainly used for evaluating the port calmness due to the irregular waves, has a limit of applicability of lattice size in ports such as marinas with narrow port openings of around 30m. The SWASH model controls the partial reflection according to the depth, porosity coefficient and structure size when applying the reflected wave incident on the structure and terrain. In this study, the partial reflection evaluation at the front of the structure according to the bottom shape and the shape of the structure are examined. In order to evaluate the reproducibility of the model due to the diffraction waves entering the term, the area of incidence at right angles and inclination of the structure is constructed and compared with the diffraction theory suggested by Goda et al. (1978). The experimental results of the sectional structure reflectances calculated as the depth mean show reflectances similar to the approximate values of the reflectances presented by Stelling and Ahrens (1981). It is considered that the reflected wave is well reproduced according to the control of the reflected wave at the boundary and the shape and topography of the structure. Compared with previous studies to examine the diffraction of the wave incident from the breakwater opening, the wave incidence angle and the shape of the diffraction wave are very similar to the theoretical values, but both oblique and rectangular incidence In the case where the direction concentration is small, the diffraction degree is underestimated in some sections with the crest ratio of 0.5 to 0.6.

• Journal of the Korean Society of Industry Convergence
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• v.5 no.1
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• pp.65-74
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• 2002

This paper intends to investigate such effects through experiments. The contents of the investigation are effects of position of repeated loading and unloading, passing frequency. For the purpose of the investigation an experimental load-deflection system is developed and the system is possible to measure deflection of the wall and earth pressure due to different size of strip loading and cyclic loading. The findings from the experiments are as follows: 1. As repeated loading approaches to the wall, the measured horizontal residual earth pressure agrees well with Rowe's empirical formula, while as the loading is far from the wall the earth pressure consists with Boussinesq's and Spangler's formulas. Also it is found that below 0.6m depth from ground surface the effects of repeated loading can be nearly neglected. 2. From comparison analyses of earth pressure theories and experimental results, a reagression equation is suggested herein, and earth pressure at any depth and maximum earth pressure due to cyclic loading can be estimated from the equation.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.27 no.6
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• pp.382-390
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• 2015

To simulate a complicated hydrodynamic phenomena in the surf zone, the SWASH model is used in Haeundae Beach. The SWASH model is well known as a model competing with the Boussinesq-type model in terms of near shore waves and wave-induced currents modelling. This study is aimed to the detailed analysis of seasonal waves and wave-induced current simulation in Haeundae Beach, where the representative seasonal wave conditions was obtained from hourly measured wave data in 2014 by Korea Hydrographic and Oceanographic Administration( KHOA). Incident wave conditions were given as irregular waves by JONSWAP spectrum. The calculated seasonal wave-induced current patterns were compared with the field observation data. In summer season, a dominant longshore current toward the east of the beach appears due to the effect of incident waves from the South and the bottom bathymetry, then some rip currents occurs at the central part of the beach. In the winter season, ESE incident waves generates a strong westward longshore currents. However, a weak eastward longshore currents appears at the restricted east side areas of the beach.

• Proceedings of the Korea Water Resources Association Conference
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• 2012.05a
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• pp.79-82
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• 2012

최근 지진해일 발생으로 인한 막대한 피해로 인해 지진해일 방재에 대한 중요성이 높아지고 있다. 지진해일 방재연구는 주로 실제 발생하였던 역사지진해일과 발생가능성이 높은 가상의 지진해일에 대해 해당지역의 재해정보도를 제작하여, 지진해일 발생 시 인명 및 재산피해를 최소화 하는 것에 초점이 맞추어져 있다. 따라서 이번 연구에서는 이러한 재해정보도의 효율성을 높이기 위해 지진해일 발생 시 인명피해가 발생할 가능성이 높은 위험지역을 선정하였다. 지진해일 위험지역을 선정하기 위해 가상의 지진해일을 수치모의 하였으며, 지진해일 발생 시 인명피해가 발생할 수 있는 지진해일 범람 높이를 선정하여 선정한 기준 높이 이상의 범람이 발생할 확률을 계산하였다. 지진해일 수치모의는 지진해일 전파모의와 범람모의 과정으로 이루어진다. 지진해일 전파모형은 선형 Boussinesq 방정식을 지배방정식으로 사용하며, 지진해일 범람모형은 비선형 천수방정식을 지배방정식으로 사용하였다. 수치모의를 통해 주문진항에서의 가상의 지진해일에 대한 범람영역 및 범람 높이를 얻었다. 수치모의를 통해 얻어진 범람 데이터를 이용해 기준 높이 이상의 범람 발생 확률을 계산하였다. 확률 계산을 위해선 해당 데이터의 확률분포를 결정하여야 하기 때문에, 적합도 검정을 수행하였다. 이번 연구에서는 여러 가지 적합도 검정 기법 중 하나인 확률도시 상관계수 검정(Probability Plot Correlation Coefficient Test)을 사용하였으며, 범람 데이터의 확률분포로 Normal, Log-normal, Exponential, Gumbel 분포를 가정하여 검정을 수행하였다. 각 지점별로 확률도시 상관계수 검정을 수행하여, 해당 지점의 확률분포를 결정하였고, 각 지점별로 해당하는 확률분포의 누적확률분포 함수를 이용해 기준 높이 이상의 범람이 발생할 확률을 계산하였다. 얻어진 확률을 지도상에 도시하여 기준 높이 이상의 범람 발생 확률이 높은 지점을 주문진항에서의 지진해일에 대한 인명피해 발생 가능성이 높은 위험지역으로 선정하였다.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.32 no.4B
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• pp.243-251
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• 2012

To investigate the characteristics of rip current occurring at Haeundae beach, observations obtained from a buoy and a CCTV were analyzed and numerical experiments were conducted. During observed rip-current events, the CCTV images showed that a couple of wave-trains, which are close to regular waves with slightly different directions, propagated to the beach, and wavelet analyses of data from the buoy showed very narrow-banded spectra with a peak frequency. From the evidences, it was inferred that a known mechanism of generating rip current due to the nodal line area of honeycomb-patterned wave crest was one of the significant factors of rip current occurrences of Haeundae beach. The mechanism has been explained by the following: When two wave-trains with slightly different directions propagate to a beach, wave crests of the incident wave-trains form honeycomb pattern due to nonlinear interaction. The nodal lines of honeycomb pattern are developed in the cross-shore direction. And longshore currents flow toward the nodal line area which has very low wave energy. Consequently their mass flux is expelled through the area toward the sea direction. To confirm the generation, numerical experiments were performed using a nonlinear Boussinesq equation model. In the cases with two incident wave-trains with slightly different directions and with a monochromatic wave propagating over a submerged shoal, it was seen that the honeycomb pattern of wave crests was well developed, and thus rip currents were evolved along the nodal lines.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.8 no.4
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• pp.23-32
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• 1988

The rates of infiltration contributed to the flow fo water in an unconfined aquifer under the partially penetrated stream at an ungaged station and the corresponding base flow in channel are coupled by using the hydraulic and/or hydrologic characteristics obtained from the geomorphologic and soil maps. For the determination of groundwater flow, the linearized model which is originally Boussinesq's nonlinear equation is applied in this study. Also, a stream flow routing model for base flow in channel is based on a simplification of the Saint-venant. The distributed runoff model with piecewise spatial uniformity is presented for obtaining its solution based on a finite difference technique of the kinematic wave equations. The method developed in this study was tested to the Bocheong watershed(area : $475.5km^2$) of the natural stream basin which is one of tributaries in Geum River basin in Korea. As a result, it is suggested that the rationality of hydro-graph separation according to a wide variability in hydrogeologic properties be worked out as developing the physically based subsurface model. The results of the present model are shown to be possible to simulate a base flow due to an arbitrary rate of infiltration for ungaged basins.

• Journal of Korea Water Resources Association
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• v.55 no.9
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• pp.669-678
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• 2022

The Haeundae beach and coast suffered synthetical dramatic changes especially in the nearshore topography by the beach nourishment project (i.e., 2013-2015). A previous study showed the rip current characteristics were changed according to the topographical change in terms of their magnitudes and likelihoods through numerical simulations using the FUNWAVE model. The magnitude and likelihood of rip currents decreased because the surfzone width decreased just after the beach nourishment. In this study, however, numerical simulations of the Haeundae rip currents were performed by using the 2017- and 2020-surveyed topographies changed for several years after the beach nourishment. From the simulation results using the topographies surveyed before and after the beach nourishment, it was found that the magnitude and likelihood of rip currents increased due to its increasing surfzone width in 2017 and 2020 and they might be increasing larger than those before the beach nourishment.