• Title/Summary/Keyword: 선형 격자 형성 방정식

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Orthogonal Grid Generation Using Linear Grid Generating Equations (선형 격자 형성 방정식을 이용한 직교 격자 형성에 관한 연구)

  • Lee S. W.;Kwon J. H.;Kwon O. J.
    • Journal of computational fluids engineering
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    • v.5 no.1
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    • pp.14-21
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    • 2000
  • A method of two and three dimensional orthogonal grid generation with control of spacing by using the covariant Laplace equation is presented. An important feature of the methodology is its ability to control effectively the grid spacing especially near the boundaries still maintaining good orthogonality in whole field. The method is based on the concept of decomposition of the global transformation into consecutive transformation of an approximate conformal mapping and an auxiliary orthogonal mapping to have linear and uncoupled equations. Control of cell spacing is based on the concept of reference arc length, and orthogonal correction is peformed in the auxiliary domain. It is concluded that the methodology can successfully generate well controlled orthogonal grids around bodies of 2 and 3 dimensional configurations.

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Development of Graphic User Interface for the Analysis of Horizontally Two-dimensional Open Channel Flow (평면 2차원 흐름 해석을 위한 GUI 개발)

  • Kim, Tae Beom;Kim, Il Hwan;Han, Jong Hyeong;Oh, Jeong-hwan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2019.05a
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    • pp.264-264
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    • 2019
  • 개수로 흐름 해석을 위해 수치모형을 적용할 때 반드시 거쳐야 하는 과정이 격자망을 구성하는 일이다. 불규칙한 형상의 자연수로를 모의할 때 격자망 생성은 쉬운 일이 아니며, 따라서 가시적으로 격자망 생성을 돕고, 격자망의 수정도 용이한 도구가 요구된다. 따라서 본 연구에서는 수심적분된 흐름방정식을 지배방정식으로 하여 개수로 흐름 해석을 용이하게 하고자 그래픽 사용자 인터페이스(GUI)를 개발하였으며, 이를 소개하고자 한다. 격자망은 기본적으로 사각형과 삼각형 요소로 구성될 수 있으며, 유한차분모형 등에서는 정형사각형 격자망을, 유한요소모형에서는 비정형 사각형 및 삼각형 격자망 또는 혼합망을 생성시킬 수 있다. 이산점(scatter points)이나 절점(node points)을 생성하거나 기존의 자료를 불러들여 삼각망 또는 사각망을 형성시킬 수 있으며, 연속선(polylines)을 작성하여 형성된 폐다각형(polygones)을 이용하여 정규 또는 비정규의 삼각망 또는 사각망을 형성시킬 수 있다. 또한 두 점사이를 선형 또는 반원 형태로 편향 정도(biased value)를 설정하여 원하는 개수만큼 나눌 수 있도록 하여, 보다 효율적인 격자형성이 가능토록 하였다. 기존 상용 프로그램에서 작성된 격자를 불러들여 활용 가능하며, 백그라운드 이미지로 지형도나 위성사진을 띄어놓고 이미지 상에서 격자를 형성할 수도 있다. 기본적으로 마우스를 이용하여 화면의 이동, 확대 및 축소와 점, 선, 요소의 생성 및 선택이 가능하다. 본 프로그램은 Qt와 modern OpenGL을 바탕으로 제작되었으며, 마이크로소프트사의 windows 뿐만 아니라 Mac OS, Linux 버전의 설치 파일 작성이 가능하다.

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Orthogonal Grid Generation Using Linear Grid Generating Equations (선형 격자 형성 방정식을 이용한 직교 격자 형성에 관한 연구)

  • Lee S. W.;Kwon J. H.;Kwon O. J.
    • 한국전산유체공학회:학술대회논문집
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    • 2000.05a
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    • pp.99-106
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    • 2000
  • A method of two and three dimensional orthogonal grid generation with control of spacing by using the covariant Laplace equation is Presented. An important feature of the methodology is its ability to control effectively the grid spacing especially near the boundaries still maintaining good orthogonality in whole field. The method is based on the concept of decomposition of the global transformation into consecutive transformation of an approximate conformal mapping and au auxiliary orthogonal mapping to have linear and uncoupled equations. Control of cell spacing is based on the concept of reference arc length, and orthogonal correction is performed in the auxiliary domain. It is concluded that the methodology can successfully generate well controlled orthogonal grids around bodies of 2 and 3 dimensional configurations.

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Grating phase measurement of photopolymer hologram by self-diffraction oscillations (자체회절 진동에 의한 포토폴리머 홀로그램의 격자 위상측정)

  • 경천수;성기영;곽종훈;최옥식;이윤우;이인원;서호형;이일항
    • Korean Journal of Optics and Photonics
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    • v.10 no.4
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    • pp.328-334
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    • 1999
  • Methylene blue-sensitized photopolymerizable material based on acrylamide is investigated with two-wave energy coupling experiments. Differently from other studies, self-diffraction oscillations are observed and the grating phase is determined without applying external electric fields, moving nonlinear materials, and phase shifting one of two writing beams. The phase grating showed a phase shift of $\pm$50$^{\circ}$ with respect to the intensity grating. Modified Kogelnik's coupled wave equation considering the mixed gratings of phase and absorption gratings and nonzero spatial phase shifts of the gratings with respect to the intensity interference patterns formed during the two-wave energy coupling is discussed in detail to understand these phenomenon.

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A Study on the Holographic Optical Element for Multiple Image Processing (다중 영상처리용 홀로그래피 광학소자에 관한 연구)

  • Kim, Nam
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.12
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    • pp.1353-1361
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    • 1992
  • Holographic optical element(HOE) is fabricated with the properties of lightweight, thin thickness and interconnectivity for free space. Particularly, HOE for optical interconnection and multiple image processing should have a high efficiency and equal spot intensity, Nonlinear equations for 2-dimensional binary phase grating(BPG) structure is solved by computer simulation based on modified Newton method. Computer-generated pattern drawn by plotter is scaled down and translated into the microfilm. After contact printing between the microfilm and silver halide hologram film, phase diffraction grating produces the $5{\times}5$ multiple spots. Experimental results are shown that bleached phase grating has a high efficiency and equal focused beams except central zero order.

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The Analysis of Wave Height Distribution in the Jumunjin Fishery Port with Seawater-Exchange Breakwater (해수교환방파제가 설치된 주문진항에서의 파고분포 해석)

  • Kim, Nam-Hyeong;Yun, Hyeon-Cheol;Koo, Bon-Soo
    • Journal of Navigation and Port Research
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    • v.34 no.1
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    • pp.51-57
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    • 2010
  • When estimating the calmness in a harbor, it is important that diffraction and reflection of irregular waves should be exactly calculated. The basic equation of the numerical model in this study was used Mild-slope equation, which has the advantage of which non-linearity with great influence for the wave behavior can be considered, and a triangular mesh was generated by using finite element method. So as to verify the nonlinear effects, the results of the numerical model developed in this study are compared with the experimental and numerical results by other researchers. As a result, it is shown that the results in case of considering nonlinear wave are more exact for wave analysis than in case of not considering nonlinear wave. In order to apply this model, wave height distributions in Jumunjin fishery port installed a seawater-exchange breakwater are computed. From the results of this numerical analysis, when abnormal waves are intruded through the seawater-exchange breakwater, the results of the wave height distributions in the harbor are highly presented. Therefore, in order to get wave height low in the harbor, it is considered that the facility with the ability to protect the inflow of abnormal waves is needed.