• Title/Summary/Keyword: 2차원 유한요소모형

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Two Dimensional Analysis on Inundated Flow in Floodplain (홍수터에서의 범람 홍수류에 의한 2차원 수치모의)

  • Han, Geon-Yeon;Jeong, Jae-Hak;Lee, Eul-Rae
    • Journal of Korea Water Resources Association
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    • v.33 no.4
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    • pp.483-493
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    • 2000
  • Two dimensional finite element model, RMA, is used to simulate flood inundation phenomena from main channel to floodplain. The marsh porosity method allows finite elements to simulate gradual transition between wet and dry states. The model is applied to prismatic trapezoidal channel to test the applicability of wetting and drying. The floodwave in a river which meanders through a floodplain is also analyzed. The short-circuiting effects, in which the flow leave the meandering main channel and takes a more direct route on the floodplain, are analyzed with various sinuosity factor and roughness coefficients. Finally, the model is applied to the midstream of the Keum River. Wet/dry calculation can simulate the various discharge condition with the same finite element networks.

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Estimation of Mass Error in the Simulation of Mixing of Instantaneously Released Pollutants (순간 유입된 오염물질의 혼합 모의 시 질량 오차 산정)

  • Lee, Myung Eun;Seo, Il Won
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.5B
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    • pp.475-483
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    • 2008
  • 2D finite element model for analysis of transport of accidentally released pollutants in the flow was developed by SUPG method, and the mass balance of this model was checked though two example problems: line source and point source problem in the straight channel and unidirectional 2D flow field, respectively. All the test cases were simulated with both SUPG and conventional Galerkin method to compare the accuraccy of the numerical mass balance. Test results show that the model with SUPG can adequately conserve the released mass though simulation than the model using Galerkin method, so the developed model verified to be appropriate to solve this accidental mass release problem.

Analysis of Hydraulic Characteristics for Stream Diversion in Small Stream (소하천에서 유로변경에 따른 수리특성 분석)

  • An, Sang-Jin;Jeon, Gye-Won
    • Journal of Korea Water Resources Association
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    • v.34 no.5
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    • pp.561-566
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    • 2001
  • This study is the analysis of hydraulic characteristic for stream diversion reach by numerical model test. Through it we can provide the basis data in flood, and in grasping stream flow characteristics. Analysis of hydraulic characteristics in Seoknam stream were implemented by using computer model HEC-RAS(one-dimensional model) and RMA2(two-dimensional finite element model). As a result we became to known that RMA2 to simulate left, main channel, right in stream is more effective method in analysing flow in channel bends, steep slope, complex bed form effect stream flow characteristics, than HEC-RAS.

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A Study on the Contaminant Transport Characteristics in Han River (한강 하류부에서의 오염물질의 거동특성 연구)

  • Kim, Hyeong-Il;Lee, Jong-Seol
    • Journal of Korea Water Resources Association
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    • v.31 no.1
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    • pp.85-93
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    • 1998
  • This study is to analyze and predict the contaminant transport based on the hydrauli characteristics using 2-dimensional finite element model. The dynamic wate quality model. RMA-4. is used to predict the contaminant transport using the hydrulic characteristics obtained from RMA-2v model. The study region is from downstream of Cham-sil weir to upstream of Shin-Kok weir. From the results of contaminant transport analysis. it is shown that the variations of discharge and velocity give quite large effect to the transport and dispersion of contaminant material. and that the water qualities of Joong-Rang and Tan streams play an important role to the downstream also. when the incidental contaminant accident occurs and contaminant material moves to the downstream. it is resulted the decreasing of the maximum COD and the increasing of the duration time to be affected by contaminant. Finally. 2-dimensional analysis is required in the case of large river like Han River. since the large difference of contaminant concentration has been investigated in the left and right bank.

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Free Field Response Analysis Using Dynamic Fundamental Solution (다층반무한 기본해를 이용한 자유장응답해석)

  • 김문겸;임윤묵;김민규;이종우
    • Journal of the Earthquake Engineering Society of Korea
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    • v.5 no.2
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    • pp.83-91
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    • 2001
  • 본 연구에서는 2차원 평면상에서 자유장응답 해석을 위하여 유한요소-경계요소 조합에 의한 수치해석기법을 개발하였다. 전체 계를 외부영역과 내부영역으로 구분하였다. 외부영역은 동적 다층반무한 기본해를 이용한 경계요소로 모형화되고 내부영역은 유한요소로 모형화하여 조합하였다. 다층지반의 외부에서 입사하는 지진에 의한 지진응답해석을 수행하기 위하여 동적기본해를 이용한 자유장응답해석을 수행하였다. 지진응답해석에서는 지반의 전단병형률에 따라 변화하는 비선형특성을 모형화하기 위해 등가선형화기법을 적용하였다. 지진응답해석의 검증에 의하여 해석결과를 상용프로그램의 결과와 비교하였다. 결과적으로 지진응답해석을 효과적으로 수행할 수 있는 수치해석기법을 개발하였고 구조물이 있는 경우로의 확장돠 가능하게 되었다.

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Development of Depth-averaged Mixing Length Turbulence Model and Assessment of Eddy Viscosity (수심평균 혼합거리 난류 모형의 개발 및 와점성계수의 평가)

  • Choi, Seung-Yong;Han, Kun-Yeun;Hwang, Jae-Hong
    • Journal of Wetlands Research
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    • v.13 no.3
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    • pp.395-409
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    • 2011
  • The objective of this study is to develop an accurate and robust two-dimensional finite element method for turbulence simulation in open channels. The model is based on Streamline Upwind/Petrov-Galerkin finite element method and Boussinesq's eddy viscosity theory. The method developed in the study is depth-averaged mixing length model which assumes anisotropic and local equilibrium state of turbulence. The model calibration and validation were performed by comparing with analytical solutions and observed data. Several numerical simulations were carried out, which examined the performance of the turbulence model for the purpose of sensitivity analysis. The uniform channels that appear horizontal flow and vertical flow were carried out. The model was also applied to the Han river was in for the applicability test. The results were compared with the observed data. The suggested model displayed reasonable flow distribution compare to the observed data in natural river flow. As a result of this study, the two-dimensional finite element model provides a reliable results for flow distribution based on the turbulence simulation in open channels.

Development of 2-D Advection-Dispersion Model with Dispersion Tensor Considering Velocity Field (유속장을 고려한 분산텐서를 포함한 2차원 이송-분산모형의 개발)

  • Seo, Il Won;Lee, Myung Eun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.2B
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    • pp.171-178
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    • 2006
  • The finite element model based on the 2-D advection-dispersion equation incorporating the dispersion tensor that is calculated using velocity field data was developed in order to analyze more accurately 2-D mixing of pollutants for meandering streams. The proposed model was tested using the straight channel that inclined at 45o in the Cartesian coordinate system. The simulation results showed that dispersion tensor model using velocity field data gives an accurate solution. The suitability of the proposed model in analyzing actual pollutant mixing in meandering channels was demonstrated by comparing the simulation results with experimental data obtained from the tracer tests in the laboratory flume. Comparison results showed that the proposed model with dispersion tensor can represents more accurately the mixing phenomena of the pollutants in the meandering channels in which the direction of the primary flow is varying periodically along the channel.

A Flood Modeling Using 2D FV Model with Hybrid Grid (하이브리드 격자를 적용한 2차원 홍수 모델링)

  • Kim, Byung Hyun;Han, Kun Yeun
    • 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.

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