• 제목/요약/키워드: 수치 적분

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A study on prediction of heavy rainfall due to cloud cluster associated with meso-low (중규모 저기압과 연관된 구름무리에 의한 호우의 예측에 관한 연구)

  • Lee, Yun Kyu;Lee, Tae-Young
    • Proceedings of the Korea Water Resources Association Conference
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    • 2017.05a
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    • pp.331-331
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    • 2017
  • 2011 년부터 2014 년까지 4 년간의 여름철에 한반도에 비교적 많은 강수를 남긴 23 개의 중규모 저기압-구름무리 집중호우 사례를 선정하여, 이들 사례에서의 중규모 저기압 발생과 이동 그리고 그것에 동반된 강수계에 의한 강수 발생을 수치예측하는 실험을 수행하였다. WRF 모델을 이용하여 12 km와 4 km 수평격자 크기로 수치실험을 진행하였으며, 각 사례에 대해 중규모 저기압이 발생한 시점을 초기 시각으로 하여 수치적분을 수행하였다. 수치실험 결과와 AWS 강수량 관측 자료를 $0.1^{\circ}{\times}0.1^{\circ}$ 격자에 각각 내삽한 후 비교하였다. 12 km 격자 실험에서는 25 mm/12h 문턱값에 대해 23개의 사례 중 9개 (39 %)만이 0.3이 넘는 성공임계지수(TS)를 나타냈고, 50 mm/12h 문턱값에 대해서는 17개 사례 중 7개 (41 %)의 사례에서 0.3이 넘는 TS가 나타났다. 4 km 실험에서는 25 mm/12h 문턱값에 대해 23개의 사례 중 10개 (43 %) 사례에서 0.3이 넘는 TS 값이 나타났고, 50 mm/12h 문턱값에 대해서는 17개 사례 중 7개 (41 %)로 나타나 WRF 모델의 수평격자 크기와 관계없이 비슷한 성능을 보였다. 중규모 저기압이 진행하는 경로에 따라 예측 능력에 차이가 나타났다. 23개 사례를 중규모 저기압 발생지점으로부터의 이동경로에 따라 준 직선 경로 사례 그룹, 곡선형 경로 사례 그룹, 정체사례 그룹으로 분류하여 각 그룹에 대해 예측 능력을 조사한 결과, 직전 경로 사례들에 대한 4km 격자 모델 예측은 55 %의 사례에서 0.3보다 큰 TS값을 보여, 30 %의 사례에서 0.3 이상의 TS 값을 보인 곡선형 경로 사례들에 대한 예측보다 상대적으로 높은 예측 신뢰도를 보여 주었다.

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A Numerical Model for the Movement of Spilled Oil at Ocean (해상누유 확산의 수치해석)

  • Dong-Y. Lee;Hang-S. Choi
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.1
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    • pp.94-101
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    • 1994
  • This paper describes a short-term prediction model for the movement of an oil slick in shallow waters. Under the assumption that the initial movement of the oil slick is governed by spreading and advection, the model has been developed and applied to Kyungki-Bay near Incheon Harbor. The initial spreading is estimated by using an empirical formula. The depth-averaged momentum equations are solved numerically for the volume transport velocities, in which the $M_2$ tide is the main driving source. A staggered grid system is adopted fur spatial discretization and the half-time method is implemented for time marching. The numerical result is visualized with the help of animation and thus the contaminated area is displayed on a monitor in time sequence. The input data are the time, the location and the volume of spill accident as well as environmental data such as md and $M_2$ tide.

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Numerical Computation of the Backscattering Coefficients of Rice Fields Using the Impedance Boundary Condition, Moment Method and Monte Carlo Method (임피던스 경계 조건, 모멘트 법과 몬테 카를로 방법을 이용한 논의 산란계수 수치적 계산과 측정 데이터와의 비교)

  • Hong, Jin-Young;Oh, Yi-Sok
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.18 no.7
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    • pp.819-827
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    • 2007
  • A numerical algorithm for estimating precise backscattering coefficients of rice fields is proposed and its accuracy is verified in this paper. After a bunch of rice plants above water surface is modeled with a bunch of randomly oriented lossy dielectric bodies above an impedance surface and the equivalent volume currents of the lossy dielectrics are computed using the moment method. Then, the scattered fields of a rice field with many bunches are computed with a Monte Carlo method, and consequently the backscattering coefficient of the rice field is computed for various incidence angles and polarizations. Finally, the backscattering coefficient of a rice field is measured at 1.85 GHz using an R-band scatterometer system, and these experimental data are used to verify the numerical algorithm proposed in this paper. It is found that the numerical computation results agree well with the measurement data.

Prediction MOdels for Channel Bed Evolution Due to Short Term Floods (단기간의 홍수에 의한 하상변동의 예측모형)

  • Pyo, Yeong-Pyeong;Sin, Cheol-Sik;Bae, Yeol-Ho
    • Journal of Korea Water Resources Association
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    • v.30 no.6
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    • pp.597-610
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    • 1997
  • One-dimensional numerical models using finite difference methods for unsteady sediment transport on alluvial river channel are developed. The Preissmann implicit scheme and the Lax-Wendroff two-step explicit scheme with the Method of Characteristics for water motion and a forward time centered space explicit scheme for sediment motion are developed to simulate the sediment transport rate and the variation of channel bed level. The program correctness of each model is successfully verified using volume conservation tests. The sensitivity studies show that higher peak stage level, steeper channel slope and longer flooding duration produce more channel bed erosion. and median grain size, $D_{50}=0.4mm$ give maximum volume loss in this study. Finally, the numerical models are found to produce reasonable results from the various sensitivity tests which reveal that the numerical models have properly responded to the changes of each model parameter.

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Nondestructive Defect Detection in Two-dimensional Anisotropic Composite Elastic Bodies Using the Boundary Element Method (경계 요소법을 이용한 2차원 비등방성 복합재료 탄성체의 비파괴 결함 추정)

  • 이상열
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.17 no.1
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    • pp.39-47
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    • 2004
  • In this paper, the defects of two-dimensional anisotropic elastic bodies are identified by using the boundary element method. The use of numerical models that contain only boundary integral terns reduces the dimensionality of the problem by one. This advantage is particularly important in problems such as crack mechanics. Avoiding domain meshing is also particularly advantageous in the solution of inverse problems since it overcomes mesh perturbations and simplifies the procedure. In this paper, nondestructive approaches for the existing isotropic materials are extended to analyze the elastic bodies made of anisotropic materials such as composites. After verifying that the proposing boundary element model is in good agreement with numerical results reported by other investigators, the effect of noise in the measurements on the identifiability is studied with respect to different design parameters of layered composites. Sample studies are carried out for various layup configurations and loading conditions. The effects of the layup sequences in detecting flaw of composites is explored in this paper.

An Analytical Study on Hysteresis Behavior of End-reinforced Steel-beam system(Eco-girder) (단부 보강한 합성보(Eco-girder)의 이력거동에 대한 수치해석적 연구)

  • Chae, Heung-Suk;Ryoo, Jae-Yong;Chung, Kyung-Soo;Moon, Young-Min;Choi, Sung-Mo
    • Journal of Korean Society of Steel Construction
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    • v.22 no.6
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    • pp.543-551
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    • 2010
  • The end-reinforced composite-beam (eco-girder) system was developed that has characteristics of the existing composite beams such as reduced floor height and increased strength. With it, less use of steel is expected. In the eco-girder system, only both ends of the steel-frame beam, which are vulnerable to the ultimate moment, are reinforced with steel plates so that the steel frame beam design will be based on the moment at the beam center. This study used fiber element analysis, which is a simple representation and numerical integration of the principles of the detailed Finite Element Method(FEM), to predict the hysteretic behavior of reinforced composite beams under cyclic loading. The validity of the numerical method was verified by comparing the results of this study with those of previous studies. In addition, the hysteretic behavior of the eco-girder was compared with that of the existing composite beams.

A Finite Element Hydrodynamic Model far Moving Boundary Problems (이동경계를 고려한 유한요소 해수류동모형)

  • 정태성;김창식
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.4 no.3
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    • pp.146-155
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    • 1992
  • It has been conventional to treat the land boundary as a fixed one in numerical modeling of tidal flows, particularly in the finite element scheme. However conventional models using the fixed land boundary result in unrealistic tidal flows in inter-tidal zones which exist over wide coastal area in Korea. In this study, a 2-dimensional hydrodynamic model, using finite element method for moving boundary problems was developed. The performance of the model was tested in a rectangular channel with an open boundary at one end and a moving boundary at the other end. The model was applied to calculate the tidal currents in Maro Hae, located in the southwestern part of Korea where wide tidal flats develop. The behavior of tidal currents in the Udolmok and near the tidal flats in the study area was satisfactory when compared with the observed data. Variation of tidal currents due to the construction of Kochunam sea-dyke which barrages large area of tidal flat was presented. The results of this study confirm the efficiency of moving boundary treatment in coastal numerical models.

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Numerical Analysis of Surface Thermal Jets by Three-Dimensional Numerical Model (3차원(次元) 수치모형(數値模型)에 의한 표면온배수(表面溫排水) 확산(擴散)의 수치해석(數値解析))

  • Jung, Tae Sung;Lee, Kil Seong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.6
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    • pp.1385-1394
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    • 1994
  • A three-dimensional numerical model of surface buoyant jets with variable density was established. The model uses fully nonlinear, time-dependent, three-dimensional, ${\sigma}$-transformed equations of motion and equation of heat transport. A semi-implicit numerical scheme in time has been adopted for computational efficiency. The model was applied for thermal jets discharging into a stagnant water and the simulated results were compared with a hydraulic experimental data set showing good agreement. Comparative studies of exchange coefficients and stability functions indicated that spatial variation of exchange coefficients should be considered and the existing stability functions should be modified to simulate surface buoyant jets accurately.

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A Numerical Analysis for Estimations of Osmotic Pressure of Colloidal Suspension and Gradient Diffusion Coefficient of Particles from Permeate Flux Experiments (투과플럭스 실험으로부터 콜로이드 서스펜션의 삼투압과 입자의 구배확산계수 산출을 위한 수치적 해석)

  • 전명석
    • Membrane Journal
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    • v.12 no.2
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    • pp.90-96
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    • 2002
  • A novel methodology on the calculations of osmotic pressure and gradient diffusion coefficient has been provided ill the present study, by applying a succinct numerical analysis on the experimental results. Although both the osmotic pressure and the gradient diffusion coefficient represent a fundamental characteristic in related membrane filtrations such as microfiltration and ultrafiltration, neither theoretical analysis nor experiments can readily determine them. The osmotic pressure of colloidal suspension has been successfully determined from a relationship between the data of the time-dependent permeate flux, their numerical accumulations, and their numerical derivatives. It is obvious that the osmotic pressure is gradually increased, as the particle concentration increases. The thermodynamic coefficient was calculated from the numerical differentiation of the correlation equation of osmotic pressure, and the hydrodynamic coefficient was evaluated from the previously developed relation for an ordered system. Finally, the estimated gradient diffusion coefficient, which entirely depends on the particle concentration, was compared to the previous results obtained from the statistical mechanical simulations.

Numerically Efficient Analysis of a Coaxial-fed Microstrip Patch Antenna (동축선으로 급전되는 마이크로스트립 패치 안테나의 효율적인 수치해석)

  • 이강렬;이영순
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.11 no.1
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    • pp.124-135
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    • 2000
  • In this study, a numerically efficient method for the analysis of microstrip structures is considered in conjunction with the use of closed-form spatial Green's functions. As is well-known, the use of the closed-form Green's functions can reduce the evaluation time of impedance matrix elements. However the problematic aspect that in general the evaluation results of diagonal elements of the matrix converge slowly, has been observed. The main cause of the slow convergence has been due to the terms of closed-form Green's functions with small exponent. In other to resolve the problematic aspect, a method of numerical integration based on the change of variable is considered in evaluating matrix elements. The present method is applied for the analysis of a coaxial-fed microstrip antenna. When the present results are compared with the previous results in order to check the validity of the present method, fairly good agreements between them are observed.

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