• Title/Summary/Keyword: 수치확산

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Massive Parallel Processing Algorithm for Semiconductor Process Simulation (반도체 공정 시뮬레이션을 위한 초고속 병렬 연산 알고리즘)

  • 이제희;반용찬;원태영
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.36D no.3
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    • pp.48-58
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    • 1999
  • In this paper, a new parallel computation method, which fully utilize the parallel processors both in mesh generation and FEM calculation for 2D/3D process simulation, is presented. High performance parallel FEM and parallel linear algebra solving technique was showed that excessive computational requirement of memory size and CPU time for the three-dimensional simulation could be treated successively. Our parallelized numerical solver successfully interpreted the transient enhanced diffusion (TED) phenomena of dopant diffusion and irregular shape of R-LOCOS within 15 minutes. Monte Carlo technique requires excessive computational requirement of CPU time. Therefore high performance parallel solving technique were employed to our cascade sputter simulation. The simulation results of Our sputter simulator allowed the calculation time of 520 sec and speedup of 25 using 30 processors. We found the optimized number of ion injection of our MC sputter simulation is 30,000.

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An Eulerian-Lagrangian Hybrid Numerical Method for the Longitudinal Dispersion Equation (Eulerian-Lagrangian 혼합모형에 의한 종확산 방정식의 수치해법)

  • 전경수;이길성
    • Water for future
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    • v.26 no.3
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    • pp.137-148
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    • 1993
  • A hybrid finite difference method for the longitudinal dispersion equation was developed. The method is based on combining the Holly-Preissmann scheme with the fifth-degree Hermite interpolating polynomial and the generalized Crank-Nicholson scheme. Longitudinal dispersion of an instantaneously-loaded pollutant source was simulated by the model and other characteristics-based numerical methods. Computational results were compared with the exact solution. The present method was free from wiggles regardless of the Courant number, and exactly reproduced the location of the peak concentration. Overall accuracy of the computation increased for smaller value of the weighting factor, $\theta$ of the model. Larger values of $\theta$ overestimated the peak concentration. Smaller Courant number gave better accuracy, in general, but the sensitivity was very low, especially when the value of $\theta$ was small. From comparisons with the hybrid method using the third-degree interpolating polynomial and with split-operator methods, the present method showed the best performance in reproducing the exact solution as the advection becomes more dominant.

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Mathematical Model for Acousto-Optical Tomography and Its Numerical Simulation (음향광학 단층촬영(Acousto-Optical Tomography)의 수학적 모델과 수치해석적 시뮬레이션)

  • Nam, Hae-Won;Hur, Jang-Yong;Kim, So-Young;Lee, Re-Na
    • Progress in Medical Physics
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    • v.23 no.1
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    • pp.42-47
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    • 2012
  • In this paper, Acousto-Optical tomography is modeled by a linear integral equation and an inverse problem involving a diffusion equation in n-spatial dimensions. We make two-step mathematical model. First, we solve a linear integral equation. Assuming the optical energy fluence rate has been recovered from the previous equation, the absorption coefficient ${\mu}$ is then reconstructed by solving an inverse problem. Numerical experiments are presented for the case n=2. The traditional gradient descent method is used for the numerical simulations. The result of the gradient descent method produces the blurring effect. To get rid of the blurring effect, we suggest the total variation regularization for the minimization problem.

Variation of Salt Concentration for the Intrust Sea Water in the Kyongin Navigation Channel (경인운하 수로에서 해수유입에 의한 염분농도의 변화)

  • Lee, Gil-Seong;O, Seong-Taek
    • Journal of Korea Water Resources Association
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    • v.31 no.2
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    • pp.209-219
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    • 1998
  • Sea water volume intruded from the lock gated was compted by a one-dimensional numerical model and the extent of diffusion of sea water was evaluated for that. The volume of intruded sea water, in the exchange processes of salt and fresh waters, was computed by the conceptual model considering the tidal level, volume of chamber, volume of canal, and operation period only, It was divided into some cases according to whether ships enter or leave the canal and whether the level of tide is lower or higher than that of water level in canal. The model, developed in this work, assumed that intruded sea water is well mixed in the canal; and complete is the exchange of waters between sea and canal. The simulation case was divided into two categories according to whether the water was added from the Han River or not.

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Prediction of Tidal Changes and Contaminant Transport Due to the Development of Incheon Coastal Zone (인천해역 개발에 따른 조석변화 및 오염물질 운송 예측)

  • Jeong, Shin-Taek;Cho, Hong-Yeon
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.9 no.1
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    • pp.1-8
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    • 1997
  • A horizontal 2-D model which includes the wetting-drying treatment technique in the intertidal zone is established for the prediction of tidal changes and contaminant transport due to the development of Incheon coastal zone. The flow model is verified by the measurement data at Jeong-Do, and then the computed values are closely matched to the observed water elevations and velocities of main-flow direction. And then, the tidal change patterns are simulated using this model before and after the construction of the Youngjongdo New Airport and Shihwa Seadike. In the spring tide condition, pollutants transport pattern is also simulated for the arbitrary pollutants loads. By the analysis of this numerical simulation results, the velocities after development are decreased, and discharged pollutants are mainly transported by the advection along a narrow deep trough. Thus, this model can be used as the compatible prediction model for the tidal change and pollutant transport due to the development plan of Incheon coastal zone.

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Optimal Test Function Petrov-Galerkin Method (최적시행함수 Petrov-Galerkin 방법)

  • Sung-Uk Choi
    • Journal of Korea Water Resources Association
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    • v.31 no.5
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    • pp.599-612
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    • 1998
  • Numerical analysis of convection-dominated transport problems are challenging because of dual characteristics of the governing equation. In the finite element method, a strategy is to modify the test function to weight more in the upwind direction. This is called as the Petrov-Galerkin method. In this paper, both N+1 and N+2 Petrov-Galerkin methods are applied to transport problems at high grid Peclet number. Frequency fitting algorithm is used to obtain optimal levels of N+2 upwinding, and the results are discussed. Also, a new Petrov-Galerkin method, named as "Optimal Test Function Petrov-Galerkin Method," is proposed in this paper. The test function of this numerical method changes its shape depending upon relative strength of the convection to the diffusion. A numerical experiment is carried out to demonstrate the performance of the proposed method.

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Lessons from the Application of GIS for Local Government - Some Examples from Korea and Australia - (지방자치단체에서의 GIS 활용에 대한 제언 - 한국과 호주에서의 사례연구를 중심으로 -)

  • Peterson, Jim;Kim, Chang Hwan;Yoo, Jae Yong
    • Journal of the Korean Association of Geographic Information Studies
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    • v.5 no.3
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    • pp.107-117
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    • 2002
  • Public policy responses to the digital/information revolution and the micro-economic reforms that it facilitates have inspired exploration of the scope for local government implementation of digital spatial data handling(DSDH) of information relating to, among other things, asset inventory, environmental and utility management, address management, and planning. The results from these explorations are such that few doubt the value of bringing the public policies to practice, but diffusion rate and pattern of the approaches demonstrated by the scoping experiments will reflect institutional/cultural matters, indicators of the relative significance of which might be at least partly predicted from appraisal of case studies. This argument is exemplified by reference to case studies in adoption of DSDH by local government organizations in Korea and in Australia.

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A study on the effect of turbulent motion on the external fertilization of sea urchin (난류 흐름이 성게의 체외수정에 미치는 영향에 대한 연구)

  • Park, Hyoungchul;You, Hojung;Hwang, Jin Hwan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.92-92
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    • 2021
  • 체외수정을 기반으로 이루어지는 성게의 수정 과정은 성게 주변에서 형성되는 복잡한 난류 흐름의 영향을 받게 된다. 성게 몸체의 하류부에 형성되는 재순환 영역 (recirculation zone) 내에는 다양한 난류 와류 흐름이 존재하며, 이들은 성게 몸체에서 방출된 정자와 난자의 충돌을 일으키고 수정 과정에 지대한 영향을 미친다. 즉, 성게의 수정 과정을 이해하기 위해서는 성게 주변의 흐름에 대한 유체역학적 관점에서의 분석이 수행되어야 한다. 본 연구의 목적은 성게 몸체에 의해 발생한 난류 흐름이 성게의 체외 수정에 미치는 영향에 대해 조사하는 것이다. 이를 위해 본 연구에서는 상용 프로그램인 오픈폼 (OpenFaom)을 활용하여 수치 모의를 수행하였다. 성게 주변의 유동장은 LES (Large Eddy Simulation)을 기반으로 모의하였고, 정자와 난자의 확산 궤적은 라그랑지안 입자 추적 (Lagrangian Particle Tracking) 알고리즘을 통해 구현하였다. 총 5개의 유속 조건 (0.025 - 0.20 m/s) 에 대해 모의를 수행하였으며 정자와 난자 사이의 거리를 바탕으로 수정률을 산정하였다. 정자와 난자의 뭉쳐있거나 퍼져있는 공간적인 분포 형태는 Standardized Morisita 지수를 통해 수치적으로 표현하였으며 이들과 수정률과의 관계를 규명하였다. 연구 결과에 따르면 성게 수정은 유속 조건이 0.1 m/s일 때 가장 빈번하게 발생하였으며, 성게 수정의 성공 여부는 크게 2가지 조건에 의해 결정되었다. 첫 번째로, Standardized Morisita 지수가 높을수록 다시 말해 생식세포들이 공간적으로 뭉쳐있어야 하며 두 번째는, 생식세포들을 충돌시킬 수 있는 원동력인 작은 와류가 존재해야 한다. 와류의 크기가 너무 크게 되면 생식세포들은 충돌하지 않고 확산만 되기 때문에 오히려 수정률이 감소하였다. 영역별로 분석한 결과에 따르면, 성게 몸체에 의해 형성된 재순환 영역이 수정과정에 있어 가장 지배적인 영역임을 확인하였다.

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A Study on the Oceanic Diffusion of Liquid Radioactive Effluents based on the Statistical Method (통계적 방법을 이용한 방사성 물질의 해양 확산 평가)

  • Kim, Soong-Pyung;Lee, Goung-Jin
    • Journal of Radiation Protection and Research
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    • v.23 no.1
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    • pp.1-6
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    • 1998
  • A diffusion model of radioactive liquid effluents is developed and applied for YGN NPP's site, based on the Gaussian plume type model. Due to the complexity of oceanic diffusion characteristics of YGN site, a simple and reliable statistical model based on Reg. Guide 1.113 is developed. Also, a computer code package to calculate dilution factors as a function of plant operation conditions and pathway of radioactive materials. A liquid effluents diffusion model is developed by dividing the diffusion range into two categories, i. e, a near field mixing region and a far field mixing region. In the near field, the initial mixing is affected by a buoyance force, a high initial turbulence and momentum which is characterized by a plant operation condition and environmental conditions. The far field mixing is similar to gaseous effluents diffusion. So, beyond the near field region, wellknown Gaussian plume model was adopted. A different area averages of Gaussian plume equation was taken for each radioactive exposure pathway. As a result, we can get different dilution factors for different pathways. Results shows that present dilution factors used for YGN ODCM is too much overestimated compared with dilution factors calculated with the developed model.

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A Study on the Evaluation Method of Subsidence Hazard by a Diffusion Equation and its Application (확산방정식을 이용한 침하 위험도 평가 기법 및 그 적용)

  • Ryu, Dong-Woo;Synn, Joong-Ho;Song, Won-Kyong;Kim, Taek-Kon;Park, Joon-Young
    • Tunnel and Underground Space
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    • v.17 no.5
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    • pp.372-380
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    • 2007
  • Surface damage due to subsidence is an inevitable consequence of underground mining, which may be immediate or delayed for many years. The surface damage due to abandoned underground mine is observed to be two subsidence types such as simple sinkhole or trough formation to a large scale sliding of the ground from with in the subsided area. An evaluation of the risk of a subsidence occurrence is vital in the areas affected by mining subsidence. For a subsidence prediction or a risk evaluation, there has been used various methods using empirical models, profile functions, influence functions and numerical models. In this study, a simple but efficient evaluation method of subsidence hazard is suggested, which is based on a diffusion theory and uses just information about geometry of caving and topography. The diffusion model has an analogous relationship with granular model which can explain a mechanism of subsidence. The diffusion model is applied for the evaluation of subsidence hazard in abandoned metal and coal mines. The model is found to be a simple but efficient tool because it needs information of geometry of caving and gangway and the topography.