• Title/Summary/Keyword: 확산방정식

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A Theoretical Study on the Photothermal Displacement Method for Wave Shape of Pump Beam (가열빔의 파형에 따른 광열변위법에 대한 이론적 연구)

  • 전필수
    • Journal of Energy Engineering
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    • v.9 no.2
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    • pp.138-145
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    • 2000
  • 고체재료의 열확산계수나 열전도계수와 같은 열물성을 비접촉식 방법으로 측정하기 위하여 광열변위법에 대한 이론적인 해석을 수행하였다. 가열빔의 파형을 코사인파, 삼각파 그리고 사각파로 가정하여 2차원 열전도 방정식과 열탄성 방정식의 엄밀해를 구하였고, 이를 가열빔으로부터 직접 구한 실제파의 결과와 비교하였다. 코사인파의 결과가 다른 파형에 비하여 실제파와 가장 유사한 것으로 보아 비교적 해석이 복잡한 실제파를 코사인파로 가정하여도 무방하다.

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Prediction of the Variation of Tidal Characteristics due to the Construction of Seadike Using Finite Element Model (유한요소모형을 이용한 방조제 건설 전후의 조성특성변화 예측)

  • Park Yeong-wook;Koo Yo-han;Kim Jin-sik;Kwun Soon-kuk
    • KCID journal
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    • v.4 no.1
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    • pp.22-33
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    • 1997
  • Seadike construction in order to develope the tidal land is used to significantly affect the water circulation system not only resulting in changes of coastal geometry but causing environmental problems. Therefore it is necessary that resultant effects of

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The Discretization Method of the Stationary Drift-Diffusion Equation with the Fermi-Dirac Statistics (정상상태에서 Fermi 분포를 고려한 드리프트-확산 방정식의 이산화 알고리즘)

  • 이은구;강성수;이동렬;노영준;김철성
    • Proceedings of the IEEK Conference
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    • 2001.06b
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    • pp.157-160
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    • 2001
  • 소자 내부의 전위와 전자 및 정공 의사 페르미 준위에 따른 반송자의 정확한 농도를 얻기 위해 Fermi-Dirac통계를 구현하는 방법을 제시하였다. 또한 Fermi-Dirac통계를 고려하여 반도체 방정식을 이산화하는 방법을 제안한다. 제안된 방법을 검증하기 위해 전력 바이폴라 접합 트랜지스터를 제작하였으며 모의 실험 결과 컬렉터-에미터 전압 대 컬렉터 전류는 현재 업계에서 상용화된 소자의 실측치와 비교하여 최대 15%이내의 상대오차를 보였다.

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압축성 이상 유동(Two-Phase)의 고차 Upwind 수치해범 연구

  • 이성재;정문선;이원재;장근식
    • Proceedings of the Korean Nuclear Society Conference
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    • 1998.05a
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    • pp.431-436
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    • 1998
  • 표면장력이 운동량 방정식에 고려되어 완전한 방곡형으로 변환된 이상유동 방정식에 그동안 적용이 까다로왔던 고차의 Upwind 수치 방법을 처음으로 적용하였다. 이로인하여 기존의 유한 차분 수치 해석방법에서 필연적으로 나타나는 인위적인 감쇄 및 수치적 확산 문제를 개선할 수 있는 방법이 본 연구에 의해서 개발되었다 개발된 수치스킴은 MUSCL기법을 이용한 Flux of extrapolation방법을 사용하였고 시간에 대해서는 Fractional time step방법을 이용하여 공간 및 시간에 대하여 이차의 정확도를 가지게 하였다. 개발된 방범의 수치실험 결과 기존의 유한 차분법에서 발생하는 제반의 문제점들을 보완하고 보다 개선된 해를 얻을 수 있는 가능성을 확인하였다.

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Comparison of the Results of Finite Difference Method in One-Dimensional Advection-Dispersion Equation (유한차분 모형에 의한 일차원 이송-확산방정식 계산결과의 비교)

  • 이희영;이재철
    • Water for future
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    • v.28 no.4
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    • pp.125-136
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    • 1995
  • ELM, a characteristic line based method, was applied to advection-dispersion equation, and the results obtained were compared with those of Eulerian schemes(Stone-Brian and QUICKEST). The calculation methods consisted of Lagrangian interpolation scheme and cubic spline interpolation scheme for the advection calculation, and the Crank-Nicholson scheme for the dispersion calculation. The results of numerical methods were as follows: (1) for Gaussian hill: ELM, using Lagrangian interpolation scheme, gave the most accurate computational result, ELM, using cubic spline interpolation scheme, and QUICKEST scheme gave numerical damping for Peclet number 50. Stone-Brian scheme gave phase shift introduced in the numerical solution for Peclet number 10 and 50. (2) for advanced front: All schemes gave accurate computational results for Peclet number 1 and 4. ELM, Lagrangian interpolation scheme, and Stone,Brian scheme gave dissipation error and ELM, using cubic spline interpolation scheme, and QUICKEST scheme gave numerical oscillation for Peclet number 50.

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Ruin probabilities in a risk process perturbed by diffusion with two types of claims (두 가지 유형의 보험청구가 있는 확산과정 리스크 모형의 파산확률)

  • Won, Ho Jeong;Choi, Seung Kyoung;Lee, Eui Yong
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.1
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    • pp.1-12
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    • 2013
  • In this paper, we introduce a continuous-time risk model where the surplus follows a diffusion process with positive drift while being subject to two types of claims. We assume that the sizes of both types of claims are exponentially distributed and that type I claims occur more frequently, however, their sizes are smaller than type II claims. We obtain the ruin probability that the level of the surplus becomes negative, by establishing an integro-differential equation for the ruin probability. We also obtain the ruin probabilities caused by each type of claim and the probability that the level of the surplus becomes negative naturally due to the diffusion process. Finally, we illustrate a numerical example to compare the impacts of two types of claim on the ruin probability of the surplus with that of the diffusion process in the risk model.

Analytical Solutions for Predicting Movement Rate of Submerged Mound (수중둔덕의 이동율 예측을 위한 해석해)

    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.10 no.4
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    • pp.165-173
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    • 1998
  • Analytical solutions to predict the movement rate of submerged mound are derived using the convection coefficient and the joint distribution function of wave heights and periods. Assuming that the sediment is moved onshore due to the velocity asymmetry of Stokes' second order nonlinear wave theory, the micro-scale bedload transport equation is applied to the sediment conservation. The nonlinear convection-diffusion equation can then be obtained which governs the migration of submerged mound. The movement rate decreases exponentially with increasing the water depth, but the movement rate tends to increase as the spectral width parameter, $ u$ increases. In comparison of the analytical solution with the measured data, it is found that the analytical solution overestimates the movement rate. However, the agreement between the analytical solution and the measured data is encouraging since this over-estimation may be due to the inaccuracy of input data and the limitation of sediment transport model. In particular, the movement rates with respect to the water depth predicted by the analytical solution are in very good agreement with the estimated result using the discritization technique with the hindcast wave data.

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Numerical Analysis for Bed Changes due to Sediment Transport Capacity Formulas and Sediment Transport Modes at the Upstream Approached Channel of the Nakdong River Estuary Barrage (낙동강하구둑 상류 접근수로에서의 유사량 공식 및 유사 이송형태에 따른 하상변동 수치모의에 관한 연구)

  • Ji, Un;Yeo, Woon-Kwang;Han, Seung-Won
    • Journal of Korea Water Resources Association
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    • v.43 no.6
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    • pp.543-557
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    • 2010
  • The effects of the selection for sediment transport equations and advection-diffusion equations according to different sediment transport modes on the modeling results of bed changes were analyzed using the CCHE2D and compared with field data in this paper. The most suitable sediment transport equation and sediment transport mode for advection-diffusion equation were suggested for the upstream approached channel of the Nakdong River Estuary Barrage. The bed changes simulated by the Engelund and Hansen formula were very small in the modeling case for the low and high flow discharges compared with the case of the Ackers and White formula. Also, the numerical modeling with the actual hydraulic event in 2002 presents that the bed change result with the bed load transport type for advection-diffusion equation was close to the field measurement more than the suspended load type.

Development of a Conjunctive Surface-Subsurface Flow Model for Use in Land Surface Models at a Large Scale: Part II. Model Implementation (대규모 육지수문모형에서 사용 가능한 지표면 및 지표하 연계 물흐름 모형의 개발: II. 모형적용)

  • Choi, Hyun-Il
    • Journal of the Korean Society of Hazard Mitigation
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    • v.8 no.3
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    • pp.23-27
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    • 2008
  • The new conjunctive surface-subsurface flow model at a large scale was developed by using a 1-D Diffusion Wave (DW) model for surface flow interacting with the 3-D Volume Averaged Soil-moisture Transport (VAST) model for subsurface flow for the comprehensive terrestrial water and energy predictions in Land Surface Models (LSMs). A selection of numerical implementation schemes is employed for each flow component. The 3-D VAST model is implemented using a time splitting scheme applying an explicit method for lateral flow after a fully implicit method for vertical flow. The 1-D DW model is then solved by MacCormack finite difference scheme. This new conjunctive flow model is substituted for the existing 1-D hydrologic scheme in Common Land Model (CLM), one of the state-of-the-art LSMs. The new conjunctive flow model coupled to CLM is tested for a study domain around the Ohio Valley. The simulation results show that the interaction between surface flow and subsurface flow associated with the flow routing scheme matches the runoff prediction with the observations more closely in the new coupled CLM simulations. This improved terrestrial hydrologic module will be coupled to the Climate extension of the next-generation Weather Research and Forecasting (CWRF) model for advanced regional, continental, and global hydroclimatological studies and the prevention of disasters caused by climate changes.

Prediction of Travel Time and Longitudinal Dispersion for Water Pollutant by Using Unit Concentration Response Function (단위오염도틀 이용한 하천 오염물질의 이동시간과 종확산 예측)

  • Kim, Soo-Jun;Kim, Hung-Soo;Kim, Byung-Sik;Seoh, Byung-Ha
    • Journal of Korea Water Resources Association
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    • v.39 no.5 s.166
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    • pp.395-403
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    • 2006
  • This study suggests the use of a simple method, called the unit concentration response function(UCRF) for predicting travel time and dispersion of pollutants with the minimum information of study area instead of numerical models which are widely used In the Previous studies. However, the numerical models require time-consuming, tedious effort, and many data sets. So we derive the UCRF using some components such as travel time, peak concentration, and passage time of pollutant etc. We use the regression equation for the estimations of components which were developed from the investigations of many river basins in USA. This study used the regression equaiton for the UCRF to the accident of Dichloromethane leak into the Nakdong River occurred on June 30, 1994 and applied the UCRF for the predictions of travel time and dispersion. The predictions were compared with the results by QUAL2E model. The results by the regression equaiton and QUAL2E model had a good agreement between observed and simulated concentrations. Therefore, the regression equation for the UCRF which can simply estimate travel time and concentration of pollutants showed its applicability for the ungaged basin.