• Title/Summary/Keyword: 공간차분법

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Modification of the Cubic law for a Sinusoidal Aperture using Perturbation Approximation of the Steady-state Navier-Stokes Equations (섭동 이론을 이용한 정상류 Navier-Stokes 방정식의 주기함수 간극에 대한 삼승 법칙의 수정)

  • 이승도
    • Tunnel and Underground Space
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    • v.13 no.5
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    • pp.389-396
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    • 2003
  • It is shown that the cubic law can be modified regarding the steady-state Navier-Stokes equations by using perturbation approximation method for a sinusoidal aperture variation. In order to adopt the perturbation theory, the sinusoidal function needs to be non-dimensionalized for the amplitude and wavelength. Then, the steady-state Navier-Stokes equations can be solved by expanding the non-dimensionalized stream function with respect to the small value of the parameter (the ratio of the mean aperture to the wavelength), together with the continuity equation. From the approximate solution of the Navier-Stokes equations, the basic cubic law is successfully modified for the steady-state condition and a sinusoidal aperture variation. A finite difference method is adopted to calculate the pressure within a fracture model, and the results of numerical experiments show the accuracy and applicability of the modified cubic law. As a result, it is noted that the modified cubic law, suggested in this study, will be used for the analysis of fluid flow through aperture geometry of sinusoidal distributions.

Effective Simulation Technology for Near Shore Current Flow (연안해수유동에 관한 효율적인 수치계산기법)

  • Yoon, B.S.;Rho, J.H.;Fujino, M.;Hamada, T.
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.4
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    • pp.38-47
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    • 1995
  • The three-dimensional multi-layer computer simulation technology for tidal current developed in the previous study is updated to a new version. many improvements are achieved by following changes : (1) No-reflection condition is adopted instead of no-gradient condition as an open boundary condition. (2) Time marching algorithm is changed so that velocity and pressure(surface movement) might be salved in turn at different time step (3) Convection term in equation of motion is estimated by upwind differencing scheme instead of central differencing. The stability is improved considerably and the steady state is achieved within 2 tidal periods which is about 3 times shorter than that of the old version. Moreover, fluctuations in time disappeared by introducing the new time marching technique. An application to the real near shore area(near Inchon harbor) is performed by the new version. Simulated results are compared with those by the simulation total developed in the University of Tokyo. Validity and effectiveness of the two simulation technologies are chocked through the comparative research works.

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Study on the Reduction of Wave Exciting Forces Acting on a Pontoon Type Floating Structure by Submerged Plate (몰수평판에 의한 폰툰형 부유체에 작용하는 파랑강제력의 감소현상에 관한 연구)

  • Lee, Sang-Min;Lee, Won-Woo
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.13 no.3
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    • pp.213-217
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    • 2007
  • Pontoon type very large floating structure has been considered and actively studied as one of the most important ocean space utilization. The hydroelastic displacement of the pontoon type floating structure in waves is the largest at its weather side. The purpose of this study is to investigate the characteristics and effects of the submerged horizontal plate which is developed to reduce the wave exciting forces acting on the pontoon type floating structure using numerical analysis. The numerical method based on the finite difference method has been adopted and compared with the experimental data to confirm the reliability of it. We have performed the numerical computation of wave exciting forces acting on the pontoon type floating structure with/without submerged plate and discuss the results of simulation.

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A Study on the Simulation of Beam Trajectory in the Electron-Gun by FDM using the Irregular Mesh (불균등 Mesh를 사용한 유한차분법에 의한 전자총의 Beam 궤적 Simulation에 관한 연구)

  • 김남호;정현열;이무용;정기호
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.16 no.8
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    • pp.719-731
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    • 1991
  • This paper introduces a relatively simple computer simulation method for analyzing trajectory of electron beam in cylindrical electrode of the CRT, which outputs the cutoff voltag, beam current, spot size and plots out the trajectory, rom the input data on physical construction and applied voltages of electron gun. In order to improve computing speed in obtaining potential distibution, the authors have ivided the space into seveal setos and allocated different mesh sizes epending on the acuracy required to each sector and applied the finite difference method in calculation. The plot of trajectoy obtained from the simulation provided useful insight into the focusing mechanism of the CRT. The computed and measured result including beam curent. spot sizs and cutoff voltages for several model guns have ageed within eperimental error. The simulation program enables the designer to compare the effects of varied electrode shpe without the epense of building an actual gun and may be appli in esigning and implementing the electron gun assemply.

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The deformation behavior of soil tunnels reinforced with RPUM and fiberglass pipes (RPUM과 유리섬유 파이프로 막장을 보강한 토사터널의 변형거동)

  • Nam, Gi-Chun;Heo, Young;Kim, Chi-Whan;You, Kwang-Ho
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.4 no.3
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    • pp.185-193
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    • 2002
  • In this paper, deformation behavior of shallow subway tunnel excavated in weathered soil and reinforcement effects of longitudinal support measures are investigated via three dimensional FDM analysis. Two excavation methods, half-face excavation and full-face excavation, are considered in simulation to study the influences of excavation methods on tunnel deformation behavior. In addition, the reinforcing effects of RPUM and fiberglass pipe are compared. Face extrusion, covergence, preconvergence, and sidewall displacement are investigated to analyze tunnel deformation behavior, and surface settlement is used to analyze the effects of excavation methods and longitudinal supports measures. The simulation results show that half-face excavation induces larger convergence, preconvergence, sidewall displacement, surface settlement than full-face excavation, while full-face excavation induces larger extrusion than half-face excavation. In addition, under same excavation method, all displacements are larger when RPUM is only used for longitudinal support than when RPUM is jointly used with fiberglass pipes.

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Improving the Slope Calculation Method for Evaluating the Feasibility of the Land Development (토지 개발 적정성 평가를 위한 경사도 계산 방법 개선)

  • Lee, Byoung Kil
    • Journal of Korean Society for Geospatial Information Science
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    • v.24 no.3
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    • pp.85-92
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    • 2016
  • Slope is one of the most important factor in land development permission standards. In guideline of "Land Suitability Assessment" or "Forest Land Conversion Standard", average slope can be measured using digital map and GIS for target area. Inputs in slope calculation are 1/5,000 digital map of NGII(National Geographic Information Institute) or digital information of Korea Land Information System. Many confusions occur in the field, as there is no standard for slope calculation and are lots of slope calculation methods using contour lines or DEM derived from them. Avoiding these confusions, this study was intended to propose a standardized method for slope calculation and a selection method for a suitable resolution. In this study, using DEM of optimum grid size according to the complexity of topography with finite difference method is suggested as improved slope calculation method, after comparing several representative slope calculation methods.

Development of a Back Analysis Program for Rock Tunnel using FLAC (FLAC을 이용한 터널 역해석 프로그램의 개발)

  • 양형식;전양수
    • Tunnel and Underground Space
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    • v.12 no.1
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    • pp.37-42
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    • 2002
  • A back analysis algorithm was developed to determine the major parameters for tunnel design; the elastic modulus(E) and the ratio of horizontal to vertical stress(K). The algorithm is based on direct search method and was coded by FISH language of FLAC, a commercial finite difference program. Developed code was applied on some models to verify the validity and estimate the efficiency of the algorithm. Verification by theoretical solutions and published results of Gens' research, was successful.

The Moving Finite Element Scheme for Time-Dependent Problems with Large Gradients (변화도에 따른 동적문제의 유한요소해석)

  • 김치경;진치섭
    • Magazine of the Korea Concrete Institute
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    • v.5 no.3
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    • pp.133-141
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    • 1993
  • 탄성체에서 파의 흐름, 층류 그리고 난류에서 전단층과 같은 많은 동적문제들을 유한요소성 또는 차분법으로 해석할 때 자동분할기법이 문제의 해의 정확도를 크게 향상 시켜왔다. 일정한 속도로 움직이는 열원은 그 열원의 내부 그리고 주위에서 높은 변화도를 발생 시킨다. 이렇게 변화도가 심한 부분은 유한요소법으로 해석할 때 적절하고 세밀하게 분할 된 요소만이 만족시런 해를 얻을 수 있을 것이다. 본 연구에서는 공간-시간 영역에서 변화도의 크기에 따라 시간간격이 임의로 조정되는 자동 시간간격 조정법을 발전시켰다.

Application of DGFEM to 1D Boussinesq Equation (일차원 Boussinesq 방정식에 대한 불연속 갤러킨 기법의 적용)

  • Lee, Haegyun;Lee, Namjoo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.470-474
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    • 2016
  • Madsen et al. (2002)이 제안한 일차원 고차 Boussinesq 방정식에 대하여 불연속갤러킨 유한요소법(Discontinuous Galerkin Finite Element Method)을 적용하였다. 연속적인 Boussinesq 방정식에서 각 요소경계에 불연속을 허용할 수 있도록 공간차분하고, 시간방향으로 4차 Runge-Kutta 시간적분법, 각 요소사이에는 Lax-Friedrichs 수치흐름률을 사용하였다. 계산영역의 양쪽에 불필요한 파랑의 반사를 억제하도록 흡수층을 설치하였으며, 영역 내부에서 조파할 수 있도록 하였다. Luth et al.(1994)의 수중잠제 실험에 적용하여 관측값과 잘 일치함을 확인하였다.

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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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