• Title/Summary/Keyword: Grid Spacing

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Discontinuous Grids and Time-Step Finite-Difference Method for Simulation of Seismic Wave Propagation (지진파 전파 모의를 위한 불균등 격자 및 시간간격 유한차분법)

  • 강태섭;박창업
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2003.03a
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    • pp.50-58
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    • 2003
  • We have developed a locally variable time-step scheme matching with discontinuous grids in the flute-difference method for the efficient simulation of seismic wave propagation. The first-order velocity-stress formulations are used to obtain the spatial derivatives using finite-difference operators on a staggered grid. A three-times coarser grid in the high-velocity region compared with the grid in the low-velocity region is used to avoid spatial oversampling. Temporal steps corresponding to the spatial sampling ratio between both regions are determined based on proper stability criteria. The wavefield in the margin of the region with smaller time-step are linearly interpolated in time using the values calculated in the region with larger one. The accuracy of the proposed scheme is tested through comparisons with analytic solutions and conventional finite-difference scheme with constant grid spacing and time step. The use of the locally variable time-step scheme with discontinuous grids results in remarkable saving of the computation time and memory requirement with dependency of the efficiency on the simulation model. This implies that ground motion for a realistic velocity structures including near-surface sediments can be modeled to high frequency (several Hz) without requiring severe computer memory

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Effects of Maximum Probe Spacing of Wenner Method on Substation Grounding (변전소 접지설계를 위한 대지저항율 측정시 전극간격이 해석결과에 미치는 영향)

  • Choi, J.K.;Kee, H.C.;Jung, G.J.;Kim, B.J.
    • Proceedings of the KIEE Conference
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    • 1999.07e
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    • pp.2355-2357
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    • 1999
  • Estimating equivalent soil model which represents an actual soil structure and its electrical characteristics, is extremely improtant for good substation grounding system design and analysis. Since the equivalent soil model is deduced based on the measured apparent soil resistivity - generally obtained from Wenner's 4-point method, reasonable and accurate measuring technique and procedure guarantee good grounding system design and analysis. The paper aims to show the importance of reasonable enough probe spacing by presenting the influence of soil modelling to estimation and measurement of grounding resistance of substation grounding grid.

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Optimizing the Net Gain of a Raman-EDFA Hybrid Optical Amplifier using a Genetic Algorithm

  • Singh, Simranjit;Kaler, Rajinder Singh
    • Journal of the Optical Society of Korea
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    • v.18 no.5
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    • pp.442-448
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    • 2014
  • For the first time, a novel analytical model of the net gain for a Raman-EDFA hybrid optical amplifier (HOA) is proposed and its various parameters optimized using a genetic algorithm. Our method has been shown to be robust in the simultaneous analysis of multiple parameters (Raman length, EDFA length, and pump powers) to obtain large gain. The optimized HOA is further investigated at the system level for the scenario of a 50-channel DWDM system with 0.2-nm channel spacing. With an optimized HOA, a flat gain of >17 dB is obtained over the effective ITU-T wavelength grid with a variation of less than 1.5 dB, without using any gain-flattening technique. The obtained noise figure is also the lowest value ever reported for a Raman-EDFA HOA at reduced channel spacing.

Verification of Hovering Rotor Analysis Code Using Overlapped Grid (중첩격자를 이용한 제자리비행 로터 해석 코드의 수치특성)

  • Kim, Jee-Woong;Park, Soo-Hyung;Yu, Yung-Hoon;Kim, Eu-Gene;Kwon, Jang-Hyuk
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.8
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    • pp.719-727
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    • 2008
  • A 3-D compressible Navier-Stokes solver using overlapped grids is developed to predict a flow-field around a hovering rotor. The flow solver is verified by a parametric study with the grid spacing of wake grid, spatial accuracy and turbulence model. Computations are performed with different Chimera grid systems. Computational results are compared with the experimental data of Caradonna et al. for both blade loading and the tip vortex behavior. Numerical results show good agreements with experiments for the distribution of surface pressure and tip vortex behavior. Pressure distributions over the blade have marginal differences for different numerical methods, whereas large discrepancies are seen in the prediction of the wake behavior. Results unexpectedly show that the vortex strength from an automated cut-paste Chimera grid is weaker than that from the conventional Chimera grid.

Using Spatial Data and Land Surface Modeling to Monitor Evapotranspiration across Geographic Areas in South Korea (공간자료와 지면모형을 이용한 면적증발산 추정)

  • Yun J. I.;Nam J. C.;Hong S. Y.;Kim J.;Kim K. S.;Chung U.;Chae N. Y.;Choi T. J
    • Korean Journal of Agricultural and Forest Meteorology
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    • v.6 no.3
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    • pp.149-163
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    • 2004
  • Evapotranspiration (ET) is a critical component of the hydrologic cycle which influences economic activities as well as the natural ecosystem. While there have been numerous studies on ET estimation for homogeneous areas using point measurements of meteorological variables, monitoring of spatial ET has not been possible at landscape - or watershed - scales. We propose a site-specific application of the land surface model, which is enabled by spatially interpolated input data at the desired resolution. Gyunggi Province of South Korea was divided into a regular grid of 10 million cells with 30m spacing and hourly temperature, humidity, wind, precipitation and solar irradiance were estimated for each grid cell by spatial interpolation of synoptic weather data. Topoclimatology models were used to accommodate effects of topography in a spatial interpolation procedure, including cold air drainage on nocturnal temperature and solar irradiance on daytime temperature. Satellite remote sensing data were used to classify the vegetation type of each grid cell, and corresponding spatial attributes including soil texture, canopy structure, and phenological features were identified. All data were fed into a standalone version of SiB2(Simple Biosphere Model 2) to simulate latent heat flux at each grid cell. A computer program was written for data management in the cell - based SiB2 operation such as extracting input data for SiB2 from grid matrices and recombining the output data back to the grid format. ET estimates at selected grid cells were validated against the actual measurement of latent heat fluxes by eddy covariance measurement. We applied this system to obtain the spatial ET of the study area on a continuous basis for the 2001-2003 period. The results showed a strong feasibility of using spatial - data driven land surface models for operational monitoring of regional ET.

Grid Discretization Study for the Efficient Aerodynamic Analysis of the Very Light Aircraft (VLA) Configuration

  • Sitio, Moses;Kim, Sangho;Lee, Jaewoo
    • International Journal of Aeronautical and Space Sciences
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    • v.14 no.2
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    • pp.122-132
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    • 2013
  • In this research the development of unstructured grid discretization solution techniques is presented. The purpose is to describe such a conservative discretization scheme applied for experimental validation work. The objective of this paper is to better establish the effects of mesh generation techniques on velocity fields and particle deposition patterns to determine the optimal aerodynamic characteristics. In order to achieve the objective, the mesh surface discretization approaches used the VLA prototype manufacturing tolerance zone of the outer surface. There were 3 schemes for this discretization study implementation. They are solver validation, grid convergence study and surface tolerance study. A solver validation work was implemented for the simple 2D and 3D model to get the optimum solver for the VLA model. A grid convergence study was also conducted with a different growth factor and cell spacing, the amount of mesh can be controlled. With several amount of mesh we can get the converged amount of mesh compared to experimental data. The density around surface model can be calculated by controlling the number of element in every important and sensitive surface area of the model. The solver validation work result provided the optimum solver to employ in the VLA model analysis calculation. The convergence study approach result indicated that the aerodynamic trend characteristic was captured smooth enough compared with the experimental data. During the surface tolerance scheme, it could catch the aerodynamics data of the experiment data. The discretization studies made the validation work more efficient way to achieve the purpose of this paper.

A Study of Optimal Mesh Interface Region Generation to Improve Spatial and Temporal Accuracy (공간 및 시간 정확도 향상을 위한 최적의 삽간영역 구성에 관한 연구)

  • Cho Kum Won
    • Journal of computational fluids engineering
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    • v.8 no.3
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    • pp.41-49
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    • 2003
  • The spatial accuracy becomes first-order when second-order conservation schemes including the non-conservative interpolation in general Chimera method are used. To ensure the solution accuracy, the discontinuities must be located away from the overlapped regions, and the length of overlapped region also must be proportional to the grid spacing. In this paper, a proposed method, cut-paste algorithm, is used to satisfy above constraints. The cut-paste algorithm can generate the optimal mesh inteface region automatically, To validate the spatial and temporal accuracy due to the non-conservative interpolation, inviscid and viscous problems are tested.

Study of Spatial and Temporal Accuracy Estimation Related with Mesh Interafce Region on Overlapped Grids (중첩격자계에서 교차영역 구성에 따른 시간/공간 정확도에 관한 연구)

  • Cho K. W.;Kwon J. H.;Lee S.
    • 한국전산유체공학회:학술대회논문집
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    • 1999.11a
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    • pp.95-107
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    • 1999
  • The spatial error due to the non-conservative interpolation become first-order when second-order conservative schemes are used, discontinuities are located away from the overlapped regions, and if the length of the overlapped region is not proportional to the grid spacing. Therefore, the solution accuracy is ensured if two domains overlap each other with a fixed grid point and the interpolation is occurred in smooth flow regions. To validate the spatial and temporal accuracy due to the non-conservative interpolation, inviscid and viscous problems are tested.

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Finite Element Analysis of Electromagnetic Field Equation with Speed E.M.E (속도기전력을 갖는 전자력 방정식의 유한요소 해석)

  • Hahn, Song-Yop
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.36 no.4
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    • pp.252-258
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    • 1987
  • Time periodic finite element solutions for sinusoidally excited electromagnetic field problems in moving media are presented. Solutions by the Galerkin method contain spurious oscillations when grid Peclet number is more than one. To suppress these oscillations an upwind finite element method using two different time periodic test functions is introduced. One is multiplied to second and first-order space derivative terma and the other to the time derivative term. Test functions are obtained from trial functions by adding or subtracting quadratic bias functions with appropriate scaling factors. Phase differences are considered between trial functions and bias functions. For simple interpretations of the phase differences, complex scaling factors are used. The proposed method is developed to give nodally exact solutions for uniform grid spacing in one dimensional problems. Based on the one dimensional results, a two dimensional upwinding scheme is also derived.

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On a new fourth order self-adaptive time integration algorithm

  • Zhong, Wanxie;Zhu, Jianping
    • Structural Engineering and Mechanics
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    • v.4 no.6
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    • pp.589-600
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    • 1996
  • An explicit 4th order time integration scheme for solving the convection-diffusion equation is discussed in this paper. A system of ordinary differential equations are derived first by discretizing the spatial derivatives of the relevant PDE using the finite difference method. The integration of the ODEs is then carried out using a 4th order scheme and a self-adaptive technique based on the spatial grid spacing. For a non-uniform spatial grid, different time step sizes are used for the integration of the ODEs defined at different spatial points, which improves the computational efficiency significantly. A numerical example is also discussed in the paper to demonstrate the implementation and effectiveness of the method.