• Title/Summary/Keyword: 비격자법

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Finite Difference Numerical Solutions for Isotropic Rectangular Thin Elastic Plates with Three Edges Clamped and the Other Free (등방성 직사각형의 3변 고정 1변 자유 얇은 탄성판에 대한 유한차분법의 수치해)

  • Seo Seung-Nam
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.18 no.3
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    • pp.225-240
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    • 2006
  • In order to calculate bending moments of rectangular plates with three edges clamped the other free subjected to both a uniform load and a triangular load, a finite difference equation for the non-dimensional governing equation are presented and numerical solutions with different aspect ratios and/or number of grid points are analyzed. The finite difference solutions are obtained by use of grid points up to 11,520 and the optimum grid points according to aspect ratios of the plate are presented as well. The obtained numerical solutions are shown to satisfy the given x moment boundary condition at the free edge, which can not be satisfied in Levy's analytical solutions and peculiar behaviour of the calculated moments is observed around the corners between the free edge and fixed ones. The numerical solutions of bending moments subjected to both a uniform load and a triangular load are compared with the corresponding analytical solutions which are shown in very good agreement on the solution domain except the neighborhood of the free edge.

Radiation Characteristics of Dielectric-Coated Conducting Cylinder Loaded with Periodic Corrugation (주기적인 구형격자로 로딩된 유전체 코팅된 도체 실린더의 복사 특성)

  • Kim, Joong-Pyo;Son, Hyon
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.11 no.3
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    • pp.388-402
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    • 2000
  • The radiation characteristics of leaky antenna from the dielectric-coated conducting cylinder with periodic corrugation are investigated theoretically for the infinite and finite periodic structures. For the infinite periodic structure, mode-matching method is applied. The integral equation is derived for the finite periodic structure by use of the Fourier transform and mode expansion and a simultaneous linear equation is obtained. The influences of the corrugation slot width, corrugation depth, dielectric thickness, cylinder radius, and finite corrugation number on the radiation characteristics (leakage constant, phase constant, and radiation pattern) are investigated. The results of the finite periodic corrugations are compared with those of the infinite extent structure and good agreement is found. To reduce high side lobe levels of the uniform finite periodic structure, tapering process on the beginning and end section of antenna and nonuniform quasi-period slot arrays are considered. Especially, for the corrugation period, width and depth used for a corrugated surface wave antenna, through the proper tapering process, end-fire radiation pattern with reduced side lobe levels is given.

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Efficient Hole Searching Algorithm for the Overset Grid System with Relative Body Motion (상대운동이 있는 중첩격자계에 효율적인 Hole Searching Algorithm 개발)

  • Lee, Seon-Hyeong;Chae, Sang-Hyun;Oh, Se-Jong;Yee, Kwan-Jung
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.39 no.11
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    • pp.995-1004
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    • 2011
  • Object X-ray method commonly used for hole search in overset grids requires huge amount of time due to complicated vector calculations to search the cross-points as well as time-consuming hole search algorithm with respect to background grids. Especially, when the grid system is in motion relative to the background, hole points should be searched at every time step, leading to hung computational burden. To cope with this difficulties, this study presents an efficient hole search algorithm mainly designed to reduce hole searching time. To this end, virtual surface with reduced grid points is suggested and logical operators are employed as a classification algorithm instead of complicated vector calculations. In addition, the searching process is further accelerated by designating hole points in a row rather than discriminating hole points with respect to each background grid points. If there exists a relative motion, the present algorithm requires much less time because only the virtual surface needs to be moved at every time step. The hole searching time has been systematically compared for a few selected geometries.

A STUDY ON IMPLICIT METHOD FOR SOLVING INCOMPRESSIBLE FLOW WITH UNSTRUCTURED MESHES (비정렬 격자상에서 비압축성 유동해석을 위한 음해법에 대한 연구)

  • Kim, M.G.;Ahn, H.T.
    • Journal of computational fluids engineering
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    • v.19 no.1
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    • pp.27-33
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    • 2014
  • A new and efficient implicit scheme is proposed to obtain a steady-state solution in time integration and the comparison of characteristics with the approximation ways for the implicit method to solve the incompressible Navier-Stokes equations is provided. The conservative, finite-volume cell-vertex upwind scheme and artificial compressibility method using dual time stepping for time accuracy is applied in this paper. The numerical results obtained indicate that the direct application of Jacobian matrix to the Lower and upper sweeps of implicit LU-SGS leads to better performance as well as convergence regardless of CFL number and true time step than explicit scheme and approximation of Jacobian matrix. The flow simulation around box in uniform flow with unstructured meshes is demonstrated to check the validity of the current formulation.

Numerical Analysis of Embankment Failure with Finite Volume Method (유한체적법을 이용한 제방붕괴 해석)

  • Yu, Jae-Hong;Kim, Hyung-Jun;Cho, Yong-Sik
    • Proceedings of the Korea Water Resources Association Conference
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    • 2006.05a
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    • pp.1671-1676
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    • 2006
  • 홍수범람은 무제부에서의 하천수위 상승으로 인해 제내로 서서히 침수해가는 것과 월류로 인한 제방의 파괴를 동반하는 급격한 범람의 두 가지 형태가 있다. 기존연구들은 대부분이 월류에 의한 제방붕괴를 고려할 경우, 제방붕괴가 점진적으로 발생함에도 불구하고 이를 수치모형에 적용할 경우 갑작스럽게 지형을 낮추거나 초기지형으로써 제방붕괴를 가정하여 이를 고려해왔다. 본 연구에서는 제방붕괴를 시간의존적인 함수로 가정하고 이를 고려할 수 있는 서브프로그램의 개발을 통해 기존의 방법과 비교하여 그 영향을 검토하였다. 본 연구에 사용된 수치모형은 비선형의 2차원 천수방정식을 비구조적 격자계가 적용된 유한체적법을 이용하였으며, Riemann 해를 계산하기 위하여 approximate HLLC Riemann solver를 이용하였다. 기연구된 제방붕괴 고려방법과 본 연구의 시간의존적인 제방붕괴 고려방법을 통해 월류량을 비교하였을 때, 기존연구들의 홍수범람 해석결과가 과다예측 되었음을 알 수 있었다. 추후의 이루어질 연구들에서는 시간의존적인 제방붕괴를 반드시 고려해야됨과 동시에 이를 자연현상과 좀더 가깝고 효과적으로 고려할 수 있도록 연구가 필요하다.

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A Numerical Analysis of Free Surface Wave around a ship (선체주위 자유수면파의 수치해석)

  • Choon-Bum Hong;Seung-Hee Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.3
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    • pp.80-86
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    • 1994
  • A numerical method for simulations of inviscid incompressible flow fields around a ship advancing on the free surface is developed. A body fitted coordinate system, generated by numerically solving elliptic type partial differential equations is used to conform the ship and free surface configurations. Three dimensional Euler equations transformed to the non-staggered body fitted coordinate system are discretised by finite difference method. Time and spatial derivatives are discretised by forward and centered differencings, respectively, and artificial dissipations are added to discretised convection terms for improvements of numerical stability. At each time steps, free surface elevations are recomputed to satisfy nonlinear free surface conditions. Poisson equations for pressure field are solved iteratively and the velocity field for next time step is extrapolated. To verify the developed numerical method, flow fields around a Wigley model are simulated(Fn=0.250-0.408) and compared with experimental data to show good agreements.

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A Study on Triangulated Irregular Network Generation Method for GSIS (지형공간정보체계의 이용을 위한 불규칙삼각망 생성기법에 관한 연구)

  • 유복모;장지원;윤정학
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.12 no.2
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    • pp.209-218
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    • 1994
  • This study aims to generate triangulated irregular network in a form of digital terrain model which is being increasingly used. In general, grid digital elevation model and triangulated irregular network are reasonable units for solving terrain problems. But, triangulated irregular network is an efficient alternative to grid digital elevation model because of their efficiency in storing data and their convenient data structure for accommodating irregularly spaced elevation data. Various methods represented for extracting triangulated irregular networks from grid digital elevation model, and then algorithm that get accurate results for triangulation with their data set was introduced. The new approach for triangulation in this study uses the Elevation and Changeable Distance criterion, and adding interpolation points and restricted constraint lines can generate triangulated irregular network which is more close to real surface. This made database efficient construction and could be used for many applications of geo-spatial information system.

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An unstructured finite volume method for unsteady incompressible flows with full second order accuracy (2차 정확도를 가지는 비정상 비압축성 유동장 해석을 위한 비정렬 유한 체적법의 개발)

  • Lee K. S.;Baek J. H.
    • 한국전산유체공학회:학술대회논문집
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    • 2004.03a
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    • pp.71-76
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    • 2004
  • An extension of our recently developed locally linear reconstruction scheme to 2 dimensional incompressible flow solver is presented. The solver is based on a semi-implicit fractional step method in which the convective term is discretized by Adams-Bashforth method and the diffusion term by Crank-Nicolson method. Several numerical examples are tested to demonstrate the mesh type independent accuracy of the solver, which include decaying vortex flow, square cavity flow, and flow around a circular cylinder. The above examples are solved on quadrilateral or hybrid meshes. For all numerical examples, we obtained reasonable results.

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Double crystal X-ray diffraction characteristics of $Al_xGa_{1-x}As$ grown by LPE (LPE법으로 성장시킨$Al_xGa_{1-x}As$의 이중결정 X-선 회절 특성)

  • 김인수;이철욱;최현태;배인호;김상기
    • Electrical & Electronic Materials
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    • v.6 no.6
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    • pp.565-572
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    • 1993
  • LPE(liquid phase epiraxy)법으로 성장시킨 $Al_{x}$ Ga$_{1-x}$As (0.15.leq.x.leq.0.67) 에피층의 구조적 특성을 이중결정 X-선 회절장치를 사용하여 조사하였다. GaAs기판과 $Al_{x}$ Ga$_{1-x}$As 에피층의 격자상수 차이로 인해 피이크가 분리되었고 이는 조성비가 증가함에 따라 선형적으로 증가하였다. 그리고 조성비는 Vegard의 법칙으로 구한 값과 기판 및 에피층 피이크 사이 각도분리(.DELTA..theta.)를 측정함으로써 구한 값이 일치하였으며 이때 관계식은 .DELTA..theta.=354.x을 얻었다. 또한 성장된 에피층은 compressive stress를 받고 있으며 조성비(x)가 0.15에서 0.67로 증가함에 따라 응력은 증가하였으며 그리고 피이크의 반치폭으로 부터 계산된 전위밀도가 역시 증가하였다.

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Finite volume method for incompressible flows with unstructured triangular grids (비정렬 삼각격자 유한체적법에 의한 비압축성유동 해석)

  • ;;Kim, Jong-Tae;Maeng, Joo-Sung
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.11
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    • pp.3031-3040
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    • 1995
  • Two-dimensional incompressible Navier-Stokes equations have been solved by the node-centered finite volume method with the unstructured triangular meshes. The pressure-velocity coupling is handled by the artificial compressibility algorithm due to its computational efficiency associated with the hyperbolic nature of the resulting equations. The convective fluxes are obtained by the Roe's flux difference splitting scheme using edge-based connectivities and higher-order differences are achieved by a reconstruction procedure. The time integration is based on an explicit four-stage Runge-Kutta scheme. Numerical procedures with local time stepping and implicit residual smoothing have been implemented to accelerate the convergence for the steady-state solutions. Comparisons with experimental data and other numerical results have proven accuracy and efficiency of the present unstructured approach.