• Title/Summary/Keyword: 수치 모형

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Numerical Simulation of Shallow Water Flow Using Multi-dimensional Limiting Process (MLP) (MLP기법을 적용한 천수흐름의 수치모의)

  • An, Hyunuk;Yu, Soonyoung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.32 no.2B
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    • pp.123-130
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    • 2012
  • MLP (Multi dimensional Limiting Process) is implemented to simulate shallow water flows, and its performance over conventional TVD limiters in multidimensional flows is verified through several numerical simulations. MLP was developed to control oscillations for multi-dimensional compressible flows and proved to improve accuracy, efficiency and robustness in compressible flows. In this study, we applies MLP to modeling shallow water equations(SWEs) given that the SWEs are amenable to be solved using the large range of numerical methods developed to deal with compressible flows and MLP has been yet used for SWEs. Simulation results through the benchmark tests show that MLP has favorable features such as numerical oscillation control and convergence behaviors comparable to the conventional limiters. Both numerical accuracy and stability are improved in multi-dimensional discontinuous flows.

A RANS modeling of backward-facing step turbulent flow in an open channel (개수로에서의 후향단차 난류 흐름 RANS 수치모의)

  • Kim, Byungjoo;Paik, Joongcheol
    • Journal of Korea Water Resources Association
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    • v.55 no.2
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    • pp.147-157
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    • 2022
  • The backward-facing step (BFS) is a benchmark geometry for analyzing flow separation occurred at the edge and resulting development of shear layer and recirculation zone that are occupied by turbulent flow. It is important to accurately reproduce and analyze the mean flow and turbulence statistics of such flows to design physically stable and performance assurance structure. We carried out 3D RANS computations with widely used, two representative turbulence models, k-ω SST and RNG k-ε, to reproduce BFS flow at the Reynolds number of 23,000 and the Froude number of 0.22. The performance of RANS computations is evaluated by comparing numerical results with an experimental measurement. Both RANS computations with two turbulence models appear to reasonably well reproduce mean flow in the shear layer and recirculation zone, while RNG k-ε computation results in about 5% larger velocity between the outer edge of boundary layer and the free surface above the recirculation zone than k-ω SST computation and experiment. Both turbulence models underestimate the shear stress distribution experimentally observed just downstream of the sharp edge of BFS, while shear stresses computed in the boundary layer downstream of reattachment point are agree reasonably well with experimental measurement. RNG k-ε modeling reproduces better shear stress distribution along the bottom boundary layer, but overestimates shear shear stress in the approaching boundary layer and above the bottom boundary layer downstream of the BFS.

Numerical Simulations of Cellular Secondary Currents in Open-Channel Flows using Non-linear k-ε Model (비선형 k-ε 모형을 이용한 개수로 흐름에서의 격자형 이차흐름 구조 수치모의)

  • Kang, Hyeongsik;Choi, Sung-Uk;Park, Moonhyeong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.6B
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    • pp.643-651
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    • 2008
  • In the present paper, turbulent open-channel flows over longitudinal bedforms are numerically simulated. The Reynolds- averaged Navier-Stokes equations in curvilinear coordinates are solved with the non-linear $k-{\varepsilon}$ model by Speziale( 1987). First, the developed model is applied to rectangular open channel flows for purposes of model validation and parameter sensitivity studies. It is found that the parameters $C_D$ and $C_E$ are important to the intensity of secondary currents and the level of turbulent anisotropy, respectively. It is found that the non-linear $k-{\varepsilon}$ model can hardly reproduce the turbulence anisotropy near the free surface. However, the overall pattern of the secondary currents by the present model is seen to coincide with measured data. Then, numerical simulations of turbulent flows over longitudinal bedforms are performed, and the simulated results are compared with the experimental data in the literature. The simulated secondary currents clearly show upflows and downflows over the ridges and troughs, respectively. The numerical results of secondary currents, streamwise mean velocity, and turbulence structures compare favorably with the measured data. However, it is observed that the secondary currents towards the troughs were significantly weak compared with the measured data.

Numerical Study on the Role of Sea-ice Using Ocean General Circulation Model (해양대순환모형을 이용한 해빙의 역할에 관한 수치실험 연구)

  • Lee, Jin-Ah;Ahn, Joong-Bae
    • The Sea:JOURNAL OF THE KOREAN SOCIETY OF OCEANOGRAPHY
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    • v.6 no.4
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    • pp.225-233
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    • 2001
  • In order to find out the role of sea-ice in the climate system, a thermodynamic sea-ice model has been developed and included in the ocean general circulation model, MOM2, for the construction of OGCM/sea-ice coupled model in this study. By using the model developed, seasonal mean sea-ice distribution has been simulated, first of all. The role of sea-ice in the sense of large scale ocean circulation has been studied by comparing the results of OGCM/sea-ice coupled model experiment with OGCM-standalone experiment. At the same time, the coupled model has been verified by comparing and analysing the results of the other models and observation. The coupled model has reasonably simulated the overall seasonal distribution of sea-ice in the high latitudes of both hemispheres. In the comparative analysis between the OGCM/sea-ice coupled and OGCM-standalone experiments, the sea-ice is playing important roles on maintaining not only the distributions of temperature and salinity in high latitudes of both hemispheres, but also the meridional ocean circulation associated with south ocean cell, southern hemisphere cell and zonal ocean circulation such as a circum-polar current.

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The Study for ENHPP Software Reliability Growth Model Based on Kappa(2) Coverage Function (Kappa(2) 커버리지 함수를 이용한 ENHPP 소프트웨어 신뢰성장모형에 관한 연구)

  • Kim, Hee-Cheul
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.11 no.12
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    • pp.2311-2318
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    • 2007
  • Finite failure NHPP models presented in the literature exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rates per fault. Accurate predictions of software release times, and estimation of the reliability and availability of a software product require Release times of a critical element of the software testing process : test coverage. This model called Enhanced non-homogeneous Poission process(ENHPP). In this paper, exponential coverage and S-shaped model was reviewed, proposes the Kappa coverage model, which make out efficiency application for software reliability. Algorithm to estimate the parameters used to maximum likelihood estimator and bisection method, model selection based on SSE statistics and Kolmogorov distance, for the sake of efficient model, was employed. Numerical examples using real data set for the sake of proposing Kappa coverage model was employed. This analysis of failure data compared with the Kappaa coverage model and the existing model(using arithmetic and Laplace trend tests, bias tests) is presented.

Sensitivity Analysis for Active Control over Input Parameters in Tsunami Models (지진해일 모형 입력인자의 능동적 제어를 위한 민감도 분석)

  • Son, Sangyoung;Jung, Tae-Hwa
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.469-469
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    • 2016
  • 본 연구에서는 지진해일 모의결과를 바탕으로 하여 지진해일모형 결과에 민감하게 작용할 수 있는 다양한 입력조건을 분석하였다. 우선 2004년 인도양 지진해일 모의를 위하여 다중격자체계를 갖추고 있는 COMCOT모형과 수심적분된 Boussinesq모형의 결합모형을 사용하였으며, 근해역에 지진해일 충격 및 피해산정 결과에 유효한 영향을 주는 입력인자를 파악하기 위하여 4가지의 시나리오를 설정하였다. 각 시나리오에서는 3개의 서로 다른 독립인자가 포함되었으며 이들은 배타적으로 결정되어 최소한의 시나리오로 다양한 분석이 가능하도록 하였다. 즉, 시나리오 1에서는 지진해일의 초기수면상태를 산정하기 위한 간략화된 단층모형을 적용하였고, 이 때 바닥마찰에 대한 고려는 배제되었다. 시나리오 2에서는 시나리오 1과 모든 조건은 동일하게 하였으나 유한단층 모형을 통해 초기수면상태를 산정하도록 하였다. 이처럼 유사하게 시나리오 3에서는 복잡한 지형 특성을 나타내는 몰디브 지역의 보다 정확한 해석을 위하여 몰디브 지역의 상세격자망을 추가적으로 다중격자체계에 포함시켰다. 마지막으로 바닥마찰항에 대한 민감도를 분석하기 위하여 시나리오 4에서는 바닥마찰항에 대한 고려를 포함시켰다. 또한, 4가지 시나리오 외에 결합모형의 성능을 평가하기 위하여, COMCOT모형만을 사용하는 시나리오를 추가적으로 설정하였다. 즉, 시나리오 1과 모든 조건은 동일하되 COMCOT모형만을 사용하도록 하였다. 설정된 조건에 따른 수치모의 결과, 지진해일 내습에 따른 해수위 변화는 각 시나리오별로 큰 차이를 보이지 않았으나, Boussinesq모형에 의한 지진해일의 동수역학적 거동은 COMCOT모형을 사용한 결과와 유의한 차이를 보였으며, 특히 파랑에 기인한 난류적 거동은 극명한 대조를 이루었다. 따라서, 본 연구결과를 통해 향후 파랑에 기인한 난류적 거동의 정확모의를 위해 수치해석에 따른 확산오차 및 바닥마찰항에 대한 면밀한 연구가 필요함을 시사하였다.

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Numerical Anslysis of Transcritical Flow in Open Channels Using High-Resolution scheme II. : Applications (고정확도 수치기법을 이용한 하천 천이류 해석 II. : 적용)

  • Kim, Won;Han, Kun-Yeun
    • Journal of Korea Water Resources Association
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    • v.34 no.1
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    • pp.57-65
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    • 2001
  • A numerical model for analyzing transcritical flow in open channel is tested to various cases of channel shape. As the numerical models developed for transcritical flow until now mainly focused on the application to only prismatic or hypothetical channels, there are some restrictions to apply the nonprismatic channels. In this study, to verify the accuracy and stability of second-order implicit ENO scheme, the numerical model was applied to the channels which haute the varying channel bed and width. Also the numerical model was applied to unsteady flow as well as steady flow. The study shows that the numerical model provides good accuracy in the calculation of stage and velocity with no numerical oscillation, particularly in the calculation of hydraulic jump and discontinous flow Then the implicit ENO scheme demonstrated good accuracy as a high-resolution scheme and stability as an implicit scheme.

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Modeling of 2-D Advection-Diffusion in Natural Streams Using Particle Discrete Probability Distribution Model (입자의 이산확률분포 모형을 이용한 자연하천의 2차원 이송-확산)

  • Kim, Yeong-Do;Seo, Il-Won
    • Journal of Korea Water Resources Association
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    • v.34 no.5
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    • pp.499-509
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    • 2001
  • 2-D transport model based on a discrete probability distribution for a particle displacement was developed too solve advection-diffusion problems in natural stream. In this proposed model, the probabilities expressed as an average and variance function were used to predict the mass transfer between cells in one time step. The proposed model produces solutions without numerical dispersion for constant velocity, diffusion coefficient, and cross-sectional area. When the stability and positivity restrictions were satisfied, the model produced excellent results compared to analytical solutions and other finite difference methods. The proposed model is tested against the dispersion data collected in the Grand River, Canada. The simulation results show that the proposed model can properly describe the two-dimensional mixing phenomena in the natural stream.

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