• Title/Summary/Keyword: boussinesq model

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Development of interactive tracer transport model coupled with Boussinesq equations (Boussinesq 방정식 기반 인터렉티브 추적자 이동 모형 개발)

  • Hwang, Sooncheol;Son, Sangyoung
    • Proceedings of the Korea Water Resources Association Conference
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    • 2020.06a
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    • pp.89-89
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    • 2020
  • 본 연구에서는 GPU 가속화 기반의 Boussinesq 모형인 Celeris Advecnt에 수심 적분된 2차원 이송-확산방정식을 추가하여 인터렉티브 시스템 기반의 추적자 이동 모형을 개발하였다. Celeris Advent는 최초로 개발된 인터렉티브 시스템을 갖춘 Boussinesq 모형으로, 시뮬레이션 중에 사용자가 모형의 파라미터뿐 아니라 모델 도메인 내 수위 및 수심을 바꿀 수 있다. 이를 통해 사용자는 모의가 진행되는 도중에 모델의 안정성 및 효율성을 위해 시간 간격을 조정할 수 있을 뿐 아니라 방파제 설치 등과 같은 지형 변화를 고려하기 위해 도메인 내 격자별 수심을 조정할 수 있다. 본 연구에서는 연안에서의 추적자 이동 모의를 위해 Boussinesq 방정식과 더불어 이송-확산방정식을 풀이하는 추적자 이동 모형을 개발하였다. 추적자의 확산항의 경우 분자 자체의 확산과 더불어 쇄파에 따른 난류 확산을 고려하였다. 난류 확산계수는 슈미트 수를 1로 두어 와동점성계수와 동일하게 두었으며, 와동점성은 단순화된 형태의 쇄파모형을 고려하여 계산하였다. 쇄파모형의 고려로 인해 이송-확산방정식과 더불어 운동량 방정식에서도 쇄파에 따른 운동량 소산이 고려되었다. 마지막으로, 추적자 농도에 대한 인터렉티브 시스템을 추가하여, 모델 구동 중에도 사용자가 수심적분된 추적자 농도를 조정할 수 있도록 하였다. 기수행된 2개의 수리실험 조건과 관측값을 이용하여 벤치마크 테스트를 수행하였으며, 관측값과 대체로 일치하는 것을 확인하였다.

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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.

Low-pass Filters for Removing Numerical Noises of Boussinesq Equation Model (Boussinesq 방정식 모델의 수치잡음 제거를 위한 저파수 통과 필터에 대한 고찰)

  • Chun, In-Sik;Sim, Jae-Seol
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.19 no.5
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    • pp.418-428
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    • 2007
  • In the calculation of wave propagation by Boussinesq equation model, it is very common to experience numerical noises generated from nonlinear interaction and breaking wave occurrence, and the numerical solution is rapidly diverged unless the noises are properly controlled. A comparative study was here undertaken for the characteristics of three different lowpass filters (FFT filter, Gaussian filter and Shapiro filter) which are all designed to be applied to the interim results of numerical calculation. The numerical results obtained with application of respective filter techniques were compared with the results of an existing hydraulic experiment for the aspects of noise suppression, conservation of main signal and altering time. The results show that the Shapiro filter can be best applied with optimal choices of its element number, pass number and filtering tune interval. The combination of the number of filter element off, pass number of 50 or less, and application interval of 100 to 200 time steps generally showed good performance in both accuracy and efficiency of the numerical calculation.

Numerical Simulation of Tsunami Propagation Using Dispersion-Correction Finite Element Model (분산보정 유한요소모형을 이용한 지진해일 전파 수치모의)

  • Yoon Sung Bum;Lim Chae Ho;Back Un Il;Yu Jung Gu
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.527-531
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    • 2005
  • 지진해일파는 풍파에 비해 파장이 매우 길어 장파로 간주되지만 조석에 비하면 파장이 짧아 상대적으로 분산성이 강하므로, 먼거리를 전파하는 경우에는 분산성을 고려하여 해석하여야 한다. 특히 동해에서 발생하는 지진해일의 경우 파원이 작고 수심이 깊어 단주기파 성분이 강하므로 그 물리적인 분산효과가 매우 중요하다. 이에 본 연구에서는 지진해일 수치모의시 임의로 구성된 유한요소망과 양해법을 사용하면서도 복잡한 Boussinesq 방정식 대신 간단한 Boussinesq-type의 파동방정식을 사용하면서도 물리적 분산효과를 정도 높게 고려할 수 있는 능동적인 분산보정기법을 이용한 2차원 유한요소모형을 개발하여 가상진원에 의해 발생된 2차원 지진해일 전파에 대하여 수치모의한 결과, 요소크기와 시간간격이 고정되었음에도 불구하고 다양한 수심에 대해 선형 Boussinesq 방정식의 해석해와 매우 잘 일치하는 좋은 결과를 보였다.

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Dispersion-Correction Finite Element Model for Simulation of Tsunami Propagation over Slowly Varying Depth (완변수심상 지진해일 전파 모의를 위한 분산보정 유한요소모형)

  • Lim, Chae-Ho;Jeon, Young-Joon;Bae, Jae-Seok;Yoon, Sung-Bum
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.576-580
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    • 2007
  • 수치기법이 복잡한 Boussinesq 방정식 대신 간단한 선형 Boussinesq 형태의 파동방정식을 지배방정식으로 사용하면서도 완변수심상 지진해일 전파시 요구되는 물리적 분산효과를 정도 높게 고려할 수 있는 분산보정 지진해일 전파 유한요소모형을 개발하였다. 수심이 변하는 지형에서의 분산보정능력을 검증하기 위해 수중 원형천퇴상을 전파하는 Gaussian 형상의 가상지진에 대해 수치모의를 수행하고, 그 결과를 선형 Boussinesq 방정식에 의해 계산된 수치해와 비교하였다. 그 결과 개발된 유한요소모형이 수심이 변하는 지형에서도 상당히 정확하다는 것이 입증되었다.

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Numerical Analysis of the Depression Effect of Hybrid Breaker on the Run Up Height due to Tsunami based on the Modified Leading Depression N (LDN) Wave Generation Technique (Leading Depression N (LDN) Wave 조파기법에 기초한 Hybrid Breaker의 지진해일 처오름 저감효과 수치해석)

  • Cho, Yong Jun;Na, Dong Gyu
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.27 no.1
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    • pp.38-49
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    • 2015
  • Past study of tsunami heavily relied on the numerical modelling using 2D Boussinesq Eq. and Solitary wave. Lately, based on the fact that numerically simulated run up heights based on solitary wave are somewhat smaller than the measured one, Leading Depression N (LDN) Wave has been elaborated, which can account the advancement of a shore line before tsunami strikes a shore. Thereafter it is reported that more accurate simulation can be possible once LDN is deployed. On the other hand, there were numerous reports indicating that stable LDN wave can't be sustained in the hydraulic model test. These conflicts between the hydraulic model tests and numerical results have their roots on the assumption made in the derivation of Boussinesq type wave model such as that wave nonlinearity is equally balanced with wave dispersiveness. Hence, in the numerical simulation based on the Boussinesq type wave model, wave dispersiveness is inevitably underestimated, especially in deep water. Based on this rationale, we developed the modified methodology for the generation of stable LDN wave in the 3D numerical wave flume, and proceeded to numerically analyze the depression effect of Hybrid Breaker on the run up height due to tsunami using the Navier Stoke Equation. The verification of newly proposed wave model in this study was carried out using the run up height from the hydraulic model test. It was shown that Hybrid Breaker consisting of three water chamber and slope at its front can reduce 13% of run up height for H = 5m, and 10% of run up height for H = 6m.

Experimental Study for Beach Process by Construction of Offshore Structure (외해구조물 건설에 따른 해빈 변형에 관한 실험적 연구)

  • 이중우
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.12 no.2
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    • pp.96-106
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    • 2000
  • Though the recent years, large scale structures have been built on offshore for utilization of coastal ocean space as offshore airport and marine terminals. Sometimes, those big scale structures, however, happened to act as significant barriers against waves and severe beach erosion would take place on the coast. The present study deals nearshore topography changes affected by construction of an offshore structure with different distance from the shore. The series of three dimensional movable bed experiments have been examined in detail. Moreover, in order to make clear the relation of nearshore currents and local erosions behind offshore structure, the nearshore currents are calculated by Boussinesq equation model and compared with the same scale condition of the physical model experiments.

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Development of Practical Dispersion-Correction Scheme for Propagation of Tsunamis (지진해일 전파모의를 위한 실용적인 분산보정기법의 개발)

  • Sohn, Dae-Hee;Cho, Yong-Sik;Ha, Tae-Min;Kim, Sung-Min
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.5B
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    • pp.551-555
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    • 2006
  • In this study, new dispersion-correction terms are added to a leap-frog finite difference scheme for the linear shallow-water equations with the purpose of considering dispersion effects of the linear Boussinesq equations for propagation of tsunamis. The numerical model developed in this study is tested to the problem that the initial free surface displacement is a Gaussian hump over a constant water depth, and the predicted numerical results are compared with analytical solutions. The results of the present numerical model are accurate in comparison with those of existing models.

Development of Highly-Resolved, Coupled Modelling System for Predicting Initial Stage of Oil Spill (유출유의 초기 확산예측을 위한 고해상도 결합모형 개발)

  • Son, Sangyoung;Lee, Chilwoo;Yoon, Hyun-Doug;Jung, Tae Hwa
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.29 no.4
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    • pp.189-197
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    • 2017
  • The development and application of accurate numerical models is essential to promptly respond to early stage of oil spill incidents occurring in nearshore area. In this study, the coupled modelling system was developed by integrating the advection-diffusion-transformation model for oil slick with the Boussinesq model, which incorporates non-linear, discrete, turbulent and rotational effects of wavy flows for accurate representation of nearshore hydrodynamics. The developed model examined its applicability through the application into real coastal region with topographical complexity and characteristics of the resulting flow originated from it. The highly-resolved, coupled model developed in this study is believed to assist in establishing the disaster prevention system that can prepare effectively for oil disasters under extreme ocean climate conditions and thus minimize industrial, economical, and environmental damages.