• Title/Summary/Keyword: nonlinear inundation model

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Calculation of overtopping discharge with time-dependent aspects of an embankment failure (시간에 따른 제방붕괴 양상을 고려한 월류량 산정)

  • Kim, Hyung-Jun;Kim, Jong-Ho;Jang, Won-Jae;Cho, Yong-Sik
    • Journal of the Korean Society of Hazard Mitigation
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    • v.7 no.3
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    • pp.69-78
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    • 2007
  • In this study, a time-dependent aspect of an embankment failure is considered to simulate a flood inundation map and calculate overtopping discharge induced by an embankment failure. A numerical model has been developed by solving the two dimensional nonlinear shallow water equations with a finite volume method on unstructured grids. To analyze a Riemann problem, the HLLC approximate Riemann solver and the Weighted Averaged Flux method are employed by using a TVD limiter and the source term treatment is also employed by using the operator splitting method. Firstly, the numerical model is applied to a dam break problem and a sloping seawall. Obtained numerical results show good agreements with experimental data. Secondly, the model is applied to a flow induced by an embankment failure by assuming that the width and elevation of embankment are varied with time-dependent functions. As a result of the comparison with each numerical overtopping discharge, established flood inundation discharges in the previous studies are overestimated than the result of the present numerical model.

A Numerical Simulation of 1983 East Sea Tsunami (1983년(年) 동해(東海)쓰나미의 산정(算定))

  • Choi, Byung Ho;Lee, Ho Jun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.3
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    • pp.207-219
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    • 1993
  • Tsunamis along the east coast of Korea accompanying the 1983 East Sea central region earthquake is hindcasted with numerical models for tsunami propagation and inundation. Both linear and nonlinear models were used to compute propagation and elevation of tsunami waves on the coastal area of Korea. For the mesh refinement, grid system was divided into two sub-regions in Korean coastal area with final 10m grid resolution at interior area where serious inundation was observed. Calculated tsunami height distribution showed a general agreement with coastal observation. With interior detailed mesh system at mid-east coast region, the inundatin at the port of Imwon were qualitatively well reproduced by inundation and runup model.

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Simulation of Run-up of Tsunamis in the East Sea (동해의 지진해일 처오름 모의)

  • Kim, Jae-Hong;Cho, Yong-Sik
    • Journal of Korea Water Resources Association
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    • v.38 no.6 s.155
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    • pp.461-469
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    • 2005
  • A second-order upwind scheme is used to investigate the run-up heights of tsunamis in the East Sea and the predicted results are compared with the field data and results of a first-order upwind scheme. In the numerical model, the governing equations solved by the finite difference scheme are the linear shallow-water equations in deep water and nonlinear shallow-water equations in shallow water. The target events are 1983 Central East Sea Tsunami and 1993 Hokkaido Nansei Oki Tsunami. The predicted results represent reasonably well the run-up heights of tsunamis in the East Sea. And, the results of simulation are used for the design of inundation map.

Analytical Rapid Prediction of Tsunami Run-up Heights: Application to 2010 Chilean Tsunami

  • Choi, Byung Ho;Kim, Kyeong Ok;Yuk, Jin-Hee;Kaistrenko, Victor;Pelinovsky, Efim
    • Ocean and Polar Research
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    • v.37 no.1
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    • pp.1-9
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    • 2015
  • An approach based on the combined use of a 2D shallow water model and analytical 1D long wave run-up theory is proposed which facilitates the forecasting of tsunami run-up heights in a more rapid way, compared with the statistical or empirical run-up ratio method or resorting to complicated coastal inundation models. Its application is advantageous for long-term tsunami predictions based on the modeling of many prognostic tsunami scenarios. The modeling of the Chilean tsunami on February 27, 2010 has been performed, and the estimations of run-up heights are found to be in good agreement with available observations.

Effects on the Jeju Island of Tsunamis Caused by Triple Interlocked Tokai, Tonankai, Nankai Earthquakes in Pacific Coast of Japan (일본 태평양 연안의 Tokai, Tonankai 및 Nankai의 3연동지진에 의한 지진해일이 제주도 연안에 미치는 영향)

  • Lee, Kwang-Ho;Kim, Min-Ji;Kawasaki, Koji;Cho, Sung;Kim, Do-Sam
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.24 no.4
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    • pp.295-304
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    • 2012
  • This study proposed a two-dimensional horizontal numerical model based on the nonlinear shallow water wave equations to simulate tsunami propagation and coastal inundation. We numerically investigated the possible impacts of tsunami caused by the triple interlocked Tokai, Tonankai and Nankai Earthquakes on the Jeju coastal areas, using the proposed model. The simultaneous Tokai, Tonankai and Nankai Earthquakes were created a virtual tsunami model of an M9.0 earthquake. In numerical analysis, a grid nesting method for the local grid refinement in shallow coastal regions was employed to sufficiently reproduce the shoaling effects. The numerical model was carefully validated through comparisons with the data collected during the tsunami events by 2011 East Japan Earthquake and 1983 central East Sea Earthquake (Nihonkai Chubu Earthquake). Tsunami propagation triggered by the combined Tokai, Tonanakai and Nankai, Earthquakes was simulated for 10 hours to sufficiently consider the effects of tsunami in the coastal areas of Jeju Island. The numerical results revealed that water level fluctuation in tsunami propagation is greatly influenced by water-depth change, refraction, diffraction and reflection. In addition, the maximum tsunami height numerically estimated in the coastal areas of Jeju Island was about 1.6 m at Sagye port.

Characteristics of Tsunami Propagation through the Korean Straits and Statistical Description of Tsunami Wave Height (대한해협에서의 지진해일 전파특성과 지진해일고의 확률적 기술)

  • Cho, Yong-Jun;Lee, Jae-Il
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.18 no.4
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    • pp.269-282
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    • 2006
  • We numerically studied tsunami propagation characteristics through Korean Straits based on nonlinear shallow water equation, a robust wave driver of the near field tsunamis. Tsunamis are presumed to be generated by the earthquake in Tsuhima-Koto fault line. The magnitude of earthquake is chosen to be 7.5 on Richter scale, which corresponds to most plausible one around Korean peninsula. It turns out that it takes only 60 minutes for leading waves to cross Korean straits, which supports recently raised concerns at warning system might be malfunctioned due to the lack of evacuation time. We also numerically obtained the probability of tsunami inundation of various levels, usually referred as tsunami hazard, along southern coastal area of Korean Peninsula based on simple seismological and Kajiura (1963)'s hydrodynamic model due to tsunami-generative earthquake in Tsuhima-Koto fault line. Using observed data at Akita and Fukaura during Okushiri tsunami in 1993, we verified probabilistic model of tsunami height proposed in this study. We believe this inundation probability of various levels to give valuable information for the amendment of current building code of coastal disaster prevention system to tame tsunami attack.

Moving boundary condition for simulation of inundation (범람 모의를 위한 이동경계조건)

  • Lin, Tae-hoon;Lee, Bong-Hee;Cho, Dae-Hee;Cho, Yong-Sik
    • Journal of Korea Water Resources Association
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    • v.36 no.6
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    • pp.937-947
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    • 2003
  • A shoreline, which has no the water depth, moves continuously as waves rise up and recede. Therefore, a special boundary treatment is required to track properly the movements of the shoreline in numerical modeling of the behavior of tsunamis or tides near a coastal zone. In this study, convective terms in nonlinear shallow-water equations are discretized explicitly by using a second-order upwind scheme to describe a moving shoreline more accurately. An oscillatory flow motion in a circular paraboloidal basin has been employed to validate the performance of the developed numerical model. Computed results of instantaneous free surface displacements are compared with those of analytical solutions and existing numerical solutions. The run-up heights in the vicinity of a circular island have also been calculated and obtained numerical results have been shown against available laboratory measurements. A good agreement has been observed.

Application and Comparison of Dynamic Artificial Neural Networks for Urban Inundation Analysis (도시침수 해석을 위한 동적 인공신경망의 적용 및 비교)

  • Kim, Hyun Il;Keum, Ho Jun;Han, Kun Yeun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.38 no.5
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    • pp.671-683
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    • 2018
  • The flood damage caused by heavy rains in urban watershed is increasing, and, as evidenced by many previous studies, urban flooding usually exceeds the water capacity of drainage networks. The flood on the area which considerably urbanized and densely populated cause serious social and economic damage. To solve this problem, deterministic and probabilistic studies have been conducted for the prediction flooding in urban areas. However, it is insufficient to obtain lead times and to derive the prediction results for the flood volume in a short period of time. In this study, IDNN, TDNN and NARX were compared for real-time flood prediction based on urban runoff analysis to present the optimal real-time urban flood prediction technique. As a result of the flood prediction with rainfall event of 2010 and 2011 in Gangnam area, the Nash efficiency coefficient of the input delay artificial neural network, the time delay neural network and nonlinear autoregressive network with exogenous inputs are 0.86, 0.92, 0.99 and 0.53, 0.41, 0.98 respectively. Comparing with the result of the error analysis on the predicted result, it is revealed that the use of nonlinear autoregressive network with exogenous inputs must be appropriate for the establishment of urban flood response system in the future.

Numerical analysis of dam breaking problem using SPH (제체의 갑작스런 붕괴로 인한 충격파 수치해석 - SPH (Smoothed Particle Hydrodynamics)를 중심으로)

  • Cho, Yong Jun;Kim, Gweon Su
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.3B
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    • pp.261-270
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    • 2008
  • Even though there is a great deal of progress in a numerical method of high caliber like SPH, it is very rarely deployed in a water resources community. Despite the great stride in computing environment, depth averaged approach like a nonlinear shallow equation is still efficient tool for flood routing in large watershed, but it can give some misleading information like the inundation height of flood. In this rationale, we numerically simulate the flow into the dry channel, dry channel with an obstacle triggered by the collapse of a two dimensional water column using SPH (Smoothed Particle Hydrodynamics) in order to boost the application of numerical method of high caliber like SPH in a water resources community. As a most severe test of the robustness of SPH, we also carry out the simulation of the flow through a clearance into the wet channel driven by the rapid removal of a water gate. As a hydrodynamic model, we used the Navier-Stokes equation, a numerical integration of which was carried out using SPH. To verify the validity of newly proposed numerical model, we compare the numerically simulated flow with the others in the literature mainly from VOF and MAC, and hydraulic experiments by Martin and Moyce (1952), Koshizuka et al. (1995) and Janosi et al. (2004). It was shown that agreements between the numerical results in this study and hydraulic experiments are remarkable.