• Title/Summary/Keyword: Conformal transformation

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A Study on Natural Convection from Two Cylinders in a Cavity

  • Mochimaru Yoshihiro;Bae Myung-Whan
    • Journal of Mechanical Science and Technology
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    • v.20 no.10
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    • pp.1773-1778
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    • 2006
  • Steady-state natural convection heat transfer characteristics from cylinders in a multiply-connected bounded region are clarified. A spectral finite difference scheme (spectral decomposition of the system of partial differential equations, semi-implicit time integration) is applied in numerical analysis, with a boundary-fitted conformal coordinate system through a Jacobian elliptic function with a successive transformation to formulate a system of governing equations in terms of a stream function, vorticity and temperature. Multiplicity of the domain is expressed explicitly.

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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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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Studies on Derivation of Appropriate Geodetic System Transformation Schemes for Spatial Data (공간정보의 측지기준체계 변환 기법 도출에 관한 연구)

  • Yun, Seonghyeon;Lee, Hungkyu;Song, Jinhun
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.38 no.6
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    • pp.561-571
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    • 2020
  • Seven techniques widely used in the geodetic transformations have been reviewed and compared to figure out their theoretical characteristics. A series of numerical tests were performed about four data sets. This was followed by result analyses in terms of transformation residuals and accuracies together with some hypothesis testings based on the student-t distribution to confirm the statistical significance of the techniques. In the case of the transformation between the geodetic frames implemented in the same system, no statistical significance was revealed in the results of the 3D transformation techniques, even if the testing area becomes large as the Asia-Oceania continent. Among the 2D transformations, it was possible for the NTv2 grid modeling technique to deliver improved transformation accuracy. Finally, it was possible from the results analyzed in this study to propose the Helmert transformation to geodetic control points and the NTv2 technique to the 2D spatial data transformation of the geodetic systems.

The Study on Coordinate Transformation for Updating of Digital Map from Construction Drawing Data (건설도면 자료의 수치지도 갱신을 위한 좌표체계 부여에 관한 연구)

  • Park, Seung-Yong;Lee, Jae-Bin;Park, Woo-Jin;Yu, Ki-Yun
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.27 no.2
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    • pp.281-288
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    • 2009
  • In the paper, we try to develop the methodology for updating road networks of large-scale digital maps by using construction drawing data. For the purpose, it is pre-requite step to merge road networks detached in CAD drawing data. As such, tie points are identified in neighboring drawings and used for solving the parameters of 2D conformal transformation between drawings. Then, the merged road network in CAD data is transformed to the coordinate system of digital maps. In the process, IPs in the drawings are considered as control information and 2D affine transformation is selected for coordinate transformation. Through the experiments with real dataset, we can identify that the developed method is valid and generally applicable.

Coordinate Registration of NAHMIS by GPS Surveying Data (GPS 측량성과를 이용한 NAHMIS 도면의 좌표부여)

  • 임삼성;노현호
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.17 no.3
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    • pp.205-211
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    • 1999
  • In this study, we utilized 2D conformal transformation method to give coordinatesbased on GPS surveying data to NAHMIS (National Highway Management Information System) drawings which are lack of coordinates. To determine the best method which is comparable with GPS digital map, we compared a transformation result obtained by unique parameters applied to the whole region of about 20 km of the NAHMIS drawings and the similar result of the tile based transformations. As the result of map joining, the error was within 2 m for both cases. In this way, NAHMIS can be used for a systematic management of construction drawings. Moreover, NAHMIS can contribute the management of highway and the data exchange between other systems by a unification of coordinate system.

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Flow Induced by the Uniform Motion of Top Plate over the Bottom Plate with Vertical Fin (수직 휜을 갖는 아래 평판 위에서 등속 운동을 하는 위 평판에 의한 유동)

  • Park, Jun-Sang
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.7
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    • pp.877-884
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    • 2001
  • A theoretical analysis is conducted on the Stokes flow in a narrow channel. A vertical fin is mounted on the bottom plate and the flow is induced by uniformly sliding top plate. The governing harmonic equation was solved in the transformed ζ-plane, which is obtained by applying conformal mappings to the physical plane. By using well-known transformation technique, closed-form expressions for velocity and skin frictional stress on the top and bottom plates were obtained.

A Study on the Stream Lines Calculation around a Ship's Hull (선체주위(船體周圍)의 유선계산법(流線計算法)에 관(關)한 연구(硏究))

  • K.J.,Cho;S.W.,Hong;C.W.,Park
    • Bulletin of the Society of Naval Architects of Korea
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    • v.14 no.2
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    • pp.1-9
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    • 1977
  • Streamlines around a ship's hull can be calculated by using streamline tracing method replacing the ship section with distribution of singularity. The influence of frame lines on the stream surrounding a hull surface, however, can not be found. Jinnaka studied on streamlines for Lewis form by applying the slender body theory. The influence of frame lines on stream surrounding a hull surface is well found in Jinnaka's method. In this paper streamline calculation method for chine type has been developed by using conformal transformation and applying slender body theory as Jinnaka did. Three kinds of model-one of series 62 for chine type, V.L.C.C. and high speed craft built in Korea for Lewis form-were used for streamline calculation;

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Solution of Unsteady Hydrofoil Problems by Discrete Vortex Method with Application to Fish Propulsion (특이점분포방식(特異點分布方式)에 의한 비정상수중익문제(非正常水中翼問題)에 대(對)한 해석(解析))

  • H.T.,Kim;Chang-Sup,Lee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.18 no.3
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    • pp.11-27
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    • 1981
  • This paper is prepared to solve the problem of two-dimensional sinusoidal motion of hydrofoil, which can be related not only to the prediction of unsteady forces acting on the marine propeller blade but to the study of aquatic animal's undulatory mode of propulsion. For convenience's shake, this manuscript can be devided into two parts. In the first part, the lift and moment coefficients have been calculated by the method of conformal transformation. In the other part, the thrust and the hydromechanical efficiency have been evaluated, using Lagally's technique having extended to the unsteady case, they also have been compared with the results, which had been obtained by Lighthill[6] and Wu[7] using Prandtl's acceleration potential.

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Study on the Coordinate Transformation by Means of Projection in Geodetic Surveying (대지측량(大地測量)에 있어서 투영법(投影法)에 의한 좌표변환(座標變換)의 연구(硏究))

  • Choi, Chul Soon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.5 no.2
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    • pp.101-107
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    • 1985
  • The coordinates of triangulation stations which has been used in Korea, were computed by means of the Gauss Conformal Double Projection in the 1910's. This projection has been considered as a problem in respect of accuracy, because the farther a station is from the origin, the larger the computational error becomes. In this paper, the Gauss Conformal Double Projection is compared with the T.M(Transverse Metcator) Projection which is widely used in many countries. In T.M projection method more accurate ground coordinates are obtained. This paper has an objective to improve the accuracy of public surveying by using the method presented in this paper.

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