• Title/Summary/Keyword: Approximate Coordinate Transformation

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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.

Position Detection Algorithm for Auto-Landing Containers by Laser-Sensor, Part I: 3-D Measurement (컨테이너의 자동랜딩을 위한 레이저센서 기반의 절대위치 검출 알고리즘: 3차원 측정 (Part I))

  • Hong, Keum-Shik;Lim, Sung-Jin;Hong, Kyung-Tae
    • Journal of Ocean Engineering and Technology
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    • v.21 no.4
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    • pp.45-54
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    • 2007
  • In the context of auto-landing containers from a container ship to a truck or automatic guided vehicle and vice versa, this research investigates three schemes, one in Part I and two in Part II, for measuring the absolute position of a container. Coordinate transformations between the reference-coordinate, sensor-coordinate, and body-coordinate systems are briefly discussed. The scheme explored in Part I aims the use of three laser-slit sensors, which are relatively inexpensive. In this case, nine nonlinear equations are formulated for six unknown variables (three for orientation and three for position), so a closed-form solution is not available. Instead, an approximate solution through linearization was derived. An advantage of the method in Part I is its ability to measure an absolute position in 3D space, while a disadvantage is the computation time required to obtain pseudo-inverses and the approximate nature of the obtained solution. Numerical examples are provided.

Structural Improvement of Extended Kalman Filter using Coordinate Transformation (좌표 변환을 이용한 확장 칼만 필터의 구조적 개선)

  • Yun, Kang-Sup;Kim, Jong-Hwa;Hwang, Chang-Sun;Lee, Man-Hyung
    • Proceedings of the KIEE Conference
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    • 1988.07a
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    • pp.905-908
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    • 1988
  • In recent, Kalman filter technique has been much used as one of technique for tracking of the moving target. But some problem are still remained to be resolved. For example, when Kalman filter technique is applied to nonlinear system, the technique is nonoptimal estimator. Therefore, extended Kalman filter is proposed to reduce modeling error for nonlinear system. In this study, an extended Kalman filter in Cartesian coordinates is described for moving target, when the radar sensor measures range, azimuth and elevation angle in polar coordinates. And an approximate gain computation algorithm is proposed. In this approach, Kalman gains are computed for three uncoupled filter and multiplied by a Jacobian transformation determined from the measured target position and orientation.

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Mathematical Modeling of Copper Plating with Pulsed Current (맥동전류에 의한 구리도금의 수학적 모델링)

  • Lee, C. K.;Sohn, H. J.;Kang, T.
    • Journal of the Korean institute of surface engineering
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    • v.24 no.3
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    • pp.125-136
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    • 1991
  • a mathematical model is presented to describe the current distribution on a rotaing disk electrode under the galvanostatic pulse conlitions. A numerical technique by finite difference method to the transient convective diffusion equation, coordinate transformation and separation of variables to Laplace equation, and an iterative algorithm to solve the above equations simtltaneously with approximate boundary conditions were developed. An experimental investigated based on copper deposition in a copper sulfate-sulfuric acid system was performed and satisfactory agreement was obtained between expermental and theoretical current distribution. The current distribution of copper deposition is secondary current distribution within the experimental conditions. Dimensionless variables, N and J as well as Wagner number were used to determine the criteria for the uniformity of current distribution.

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Automatic Berthing Finite-time Control Considering Transmission Load Reduction

  • Liu Yang;Im Nam-kyun
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2022.11a
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    • pp.168-169
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    • 2022
  • In this study, we investigates the auto-berthing problem for the underactuated surface vessel in the presence of constraints of dynamic uncertainties, finite time, transmission load, and environmental disturbance. A novel control scheme is proposed by fusing the finite time control technology and the event-triggered input algorithm. In the algorithm, differential homeomorphism coordinate the transformation is used to solve the problem of underactuation. Then, we apply the finite time technology and event triggered to save the time of the berthing vessel and relieve transmission burden between the controller and the vessel respectively. Moreover, a radial basis function network is used to approximate unknown nonlinear functions, and minimum learning parameters are introduced to lessen the computational complexity. A sufficient effort has been made to verify the stability of the closed-loop system based on the Lyapunov stability theory. Finally, simulation results display the effectiveness of the proposed scheme.

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Real-Time Lane Detection Based on Inverse Perspective Transform and Search Range Prediction (역원근 변환과 검색 영역 예측에 의한 실시간 차선 인식)

  • Kim, S.H.;Lee, D.H.;Lee, M.H.;Be, J.I.
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2843-2845
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    • 2000
  • A lane detection based on a road model or feature all need correct acquirement of information on the lane in a image, It is inefficient to implement a lane detection algorithm through the full range of a image when being applied to a real road in real time because of the calculating time. This paper defines two searching range of detecting lane in a road, First is searching mode that is searching the lane without any prior information of a road, Second is recognition mode, which is able to reduce the size and change the position of a searching range by predicting the position of a lane through the acquired information in a previous frame. It is allow to extract accurately and efficiently the edge candidates points of a lane as not conducting an unnecessary searching. By means of removing the perspective effect of the edge candidate points which are acquired by using the inverse perspective transformation, we transform the edge candidate information in the Image Coordinate System(ICS) into the plane-view image in the World Coordinate System(WCS). We define linear approximation filter and remove the fault edge candidate points by using it This paper aims to approximate more correctly the lane of an actual road by applying the least-mean square method with the fault-removed edge information for curve fitting.

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Digital 30sec Gridded Bathymetric Data of Korea Marginal Seas - KorBathy30s (한국 주변해역 30초 격자수심 - KorBathy30s)

  • Seo, Seung-Nam
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.20 no.1
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    • pp.110-120
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    • 2008
  • Gridded bathymetric data of 30 seconds apart in Korea marginal seas $(30^{\circ}N{\sim}44^{\circ}N,\;117^{\circ}E{\sim}143^{\circ}E)$ are produced. In order to make the data, both updated gridded data of 1 minute apart on internet sites and all the digital nautical charts issued by National Oceanographic Research Institute (NORI) in Oct. 2007 are used. The reference level of the gridded data is approximate level of lowest low water and the horizontal coordinates are based on the WGS84 ellipsoid. Especially a developed computer program can collect all the sounding data including depth contour directly from the digital charts and UTM coordinates of the data are converted to the WGS84 coordinates from which accuracy of data is significantly improved. An interpolation method is adopted to produce the gridded data which are compared and analyzed against the existing gridded data. In this gridded data we can see significantly detailed topographic features which could not be found in the previous data.