• Title/Summary/Keyword: Coordinate Transformations

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Approximate Coordinate Transformations for Simulation of Turbulent Flows with Active Wall Motions (능동적 벽 운동을 수반하는 난류유동의 해석을 위한 근사 좌표변환)

  • Gang, Sang-Mo
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.11
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    • pp.1467-1475
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    • 2001
  • In the present paper, approximate coordinate transformations for simulation of turbulent flows with active wall motions, leading to a significant reduction in the computational cost while maintaining the numerical accuracy, are presented: the Navier-Stokes equations are coordinate-transformed with an approximation of Taylor-series truncation and neglect of some less-significant terms. The performance of the proposed transformations is evaluated in simulation of the channel flow at Re$\sub$$\tau$/=140 with wall deformations of │η$\sub$m/$\^$+/ 5. The approximate transformations provide flow structures as wall as turbulence statistics in good agreement with those from a complete coordinate transformation [Phys. Fluids 12, 3301 (2000)] and allow 25-30% savings in the CPU time as compared to the complete one.

Approximate Coordinate Transformations for Simulation of Turbulent Flows with Wall Deformation

  • Kang, Sangmo
    • Journal of Mechanical Science and Technology
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    • v.16 no.5
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    • pp.703-709
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    • 2002
  • In the present paper, approximate coordinate transformations for simulation of turbulent flows with wall deformation, significantly reducing computational cost with little degradation in numerical accuracy, are presented. The Wavier-Stokes equations are coordinate-transformed with an approximation of Tailor-series truncation. The performance is evaluated by performing numerical simulations of a channel flow at Re$\sub$$\tau$/ = 140 with active wall motions of η$\sub$m/$\^$+/ $\leq$5. The approximate transformations provide flow structures as well as turbulence statistics in good agreement with those from a complete transformation [Phys. Fluids 12, 3301 (2000) ] and allow 25-30% savings in the CPU time as compared to the complete one.

Novel current control for PWM AC-DC converter using internal principle of PI controller (PI 제어기의 내부원리를 이용한 PWM AC-DC 컨버터의 새로운 전류제어)

  • Heo, T.W.;Hwang, Y.M.;Kim, Y.B.;Lee, H.W.;Woo, J.I.
    • Proceedings of the KIEE Conference
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    • 1998.07f
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    • pp.1944-1946
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    • 1998
  • This paper presents a novel current control system to eliminate the steady state control error for PWM AC-DC converter. A general mathematical model of the converter which is represented as a state-space model is established. The state-space model is used for the simulation of converter with the proposed tracking control system of sinusoidal current. In this system, a novel current control which do not require coordinate transformations using internal principle of PI controller is described. It is proved that the steady state deviation reduce to zero through a transfer function of source current control system. Finally, simulations show good source current control characteristics by means of a simplified control system which do not require coordinate transformations.

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Analyses of Coordinates Differences in GRS80 Map Transformation (GRS80타원체로의 지도변환과 좌표변화량 분석)

  • 이영진;차득기;김상연
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.17 no.3
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    • pp.265-272
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    • 1999
  • The map coordinate systems of Korea, based on the Bessel 1841 ellipsoid with Tokyo Datum, applied in digital mapping. So, the new geocentric system have some coordinate differences compared to GRS80 ellipsoid with the International Terrestrial Reference Frame(ITRF). Therefore, map transition procedures are needed to establish for the new coordinate system. In this paper, characteristics and tendencies about coordinate differences and map tiles systems are investigated and modules for the map coordinate transformations between two systems are developed and simulated.

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Coordinate Transformation of the Cadastral Maps with Different Surveying Origins for Utilization in GIS (GIS 활용을 위한 기타원점 좌표계 지적자료의 좌표변환에 관한 연구 - 경기도 오산시를 대상으로 -)

  • 이권한;서관호;정해철
    • Spatial Information Research
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    • v.11 no.4
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    • pp.481-491
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    • 2003
  • This study aims at generating a continuous map by coordinates transformation between cadastral maps with different surveying origins. The continuous cadastral map is useful in various fields of GIS. For this purpose, an experimental study was conducted at Osan-Si, Kyonggi Province in cooperation with related institutions. In this study, three control point zone, large, medium, and small zone were to!;ted. For each control point, the currently used data were compared with the data at the surveyed time. About coordinate transformation method, we tested Helmert, Affine, and Polynomial methods which are the most representative among 2-dimensional coordinate transformations. These three transformation methods were evaluated according to variation of transformed parcel shape and agreement with neighboring areas. As the result of the evaluation, Affine transformation in large zone is the most appropriate coordinate transformation method fer Osan-Si.

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Numerical Analysis of the Phase Change Processes by Coordinate Transformations (좌표변환에 의한 상변화 과정의 수치해석)

  • 유호선;노승탁
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.4
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    • pp.585-592
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    • 1986
  • 본 연구에서는 시간의존 Boundary-Fitted 좌표계로의 좌표변환을 이용하여 자 연대류를 고려한 임의 형상에서의 2차원 상변화 문제를 해석하는 안정성 있는 수치해 석 방법을 제시하고자 한다.

An Isometric Shape Interpolation Method on Mesh Models (메쉬 모델에 대한 아이소메트릭 형상 보간 방법)

  • Baek, Seung-Yeob;Lee, Kunwoo
    • Korean Journal of Computational Design and Engineering
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    • v.19 no.2
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    • pp.119-128
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    • 2014
  • Computing the natural-looking interpolation of different shapes is a fundamental problem of computer graphics. It is proved by some researchers that such an interpolation can be achieved by pursuing the isometry. In this paper, a novel coordinate system that is invariant under isometries is defined. The coordinate system can easily be converted from the global vertex coordinates. Furthermore, the global coordinates can be efficiently recovered from the new coordinates by simply solving two sparse least-squares problems. Since the proposed coordinate system is invariant under isometries, then transformations such as global rigid trans-formations, articulated posture deformations, or any other isometric deformations, do not change the coordinate values. Therefore, shape interpolation can be done in this framework without being affected by the distortions caused by the isometry.

Motion Control on Animation Space (애니메이션 공간에서의 제어의 통한 동작 생성)

  • Park, Ji-Heon;Park, Seong-Heon
    • The KIPS Transactions:PartA
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    • v.8A no.2
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    • pp.167-178
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    • 2001
  • This paper presents a new methodology for specification and control of the motion of an articulated rigid body for the purposes of animation by coordinate transformations. The approach is to formulate the problem as a coordinate transformation from the joint space of the body to a user-defined animation space which is chosen for convenience in constraining the motion. Constraints are applied to the resulting coordinate transformation equations. It is sufficiently general so that it can be applied to all common types of control problems, including closed loop as well as open loop mechanisms. We also provided a new approach to simulate a closed loop mechanism, which is using animation space transformation technique. The method is formulated in detail and is demonstrated by animating the motion of an inchworm.

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Transient response of rhombic laminates

  • Anish, Anish;Chaubey, Abhay K.;Vishwakarma, Satyam;Kumar, Ajay;Fic, Stanislaw;Barnat-Hunek, Danuta
    • Structural Engineering and Mechanics
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    • v.70 no.5
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    • pp.551-562
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    • 2019
  • In the present study, a suitable mathematical model considering parabolic transverse shear strains for dynamic analysis of laminated composite skew plates under different types of impulse and spatial loads was presented for the first time. The proposed mathematical model satisfies zero transverse shear strain at the top and bottom of the plate. On the basis of the cubic variation of thickness coordinate in in-plane displacement fields of the present mathematical model, a 2D finite element (FE) model was developed including skew transformations in the mathematical model. No shear correction factor is required in the present formulation and damping effect was also incorporated. This is the first FE implementation considering a cubic variation of thickness coordinate in in-plane displacement fields including skew transformations to solve the forced vibration problem of composite skew plates. The effect of transverse shear and rotary inertia was incorporated in the present model. The Newmark-${\beta}$ scheme was adapted to perform time integration from step to step. The $C^0$ FE formulation was implemented to overcome the problem of $C^1$ continuity associated with the cubic variation of thickness coordinate in in-plane displacement fields. The numerical studies showed that the present 2D FE model predicts the result close to the analytical results. Many new results varying different parameter such as skew angles, boundary conditions, etc. were presented.