• Title/Summary/Keyword: Cartesian

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An Implicit Pressure Correction Method for Incompressible Navier-Stokes Equations on Unstructured Cartesian Grids

  • Pan Dartzi
    • 한국전산유체공학회:학술대회논문집
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    • 2003.10a
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    • pp.15-16
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    • 2003
  • An implicit pressure correction method on unstructured Cartesian grid is developed for the incompressible Navier-Stokes equations. An immersed boundary method is also incorporated to treat the body geometry. Tests show that with an appropriate amount of dissipation, the method is second order accurate both in time and space. The driven cavity flows with and without immersed bodies are computed to demonstrate the capability of the present scheme.

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Fuzzy control of a robot manipulator in Cartesian space (Cartesian 공간에서 로봇 머니퓰레이터의 퍼지제어)

  • 곽희성;강철구
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1995.10b
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    • pp.165-173
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    • 1995
  • In order to eliminate position errors existing at the steady state in the motion control of robotic maniprlators, a new fuzzy control algorithm is proposed using three variables, position error, velocity error and integral of position errors as input variables of the fuzzy controller, This controller is applied to the tracking control of robotic manipulators in Cartesian space. Three dimensional look-up table is used to reduce the computational time in rel-time control. Simulation and experimental studies are conducted to evaluate the control performance for the two axis direct drive SCARA robot system.

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JavaScript-to-c++ Type Inferencing Transcompiler Using Cartesian Product Algorithm (Cartesian Product Algorithm을 사용한 JavaScript-to-C++ 타입 추론 컴파일러)

  • Kim, Jaeju;Han, Hwansoo
    • Proceedings of the Korea Information Processing Society Conference
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    • 2015.10a
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    • pp.910-913
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    • 2015
  • 자바스크립트는 웹 페이지를 제어하기 위한 표준적인 스크립트 언어로 오랫동안 사용되어 왔다. 최근 웹 앱이나 서버사이드 응용 프로그램을 자바스크립트로 작성하게 되면서, 자바스크립트 프로그램을 더욱 빠르게 동작하도록 만드는 것이 중요한 이슈가 되었다. 본 논문에서는 암시적인 동적 타입 시스템을 사용하는 자바스크립트 언어에 Cartesian Product Algorithm을 적용하여 타입을 추론하고, 이 정보를 바탕으로 정적 타입 시스템인 C++ 코드로 변환하는 컴파일러의 구조와 알고리즘을 제시한다.

Kinematic Calibration of a Cartesian Parallel Manipulator

  • Kim, Han-Sung
    • International Journal of Control, Automation, and Systems
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    • v.3 no.3
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    • pp.453-460
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    • 2005
  • In this paper, a prototype Cartesian Parallel Manipulator (CPM) is demonstrated, in which a moving platform is connected to a fixed frame by three PRRR limbs. Due to the orthogonal arrangement of the three prismatic joints, it behaves like a conventional X-Y-Z Cartesian robot. However, because all the linear actuators are mounted at the fixed frame, the manipulator may be suitable for applications requiring high speed and accuracy. Using a geometric method and the practical assumption that three revolute joint axes in each limb are parallel to one another, a simple forward kinematics for an actual model is derived, which is expressed in terms of a set of linear equations. Based on the error model, two calibration methods using full position and length measurements are developed. It is shown that for a full position measurement, the solution for the calibration can be obtained analytically. However, since a ball-bar is less expensive and sufficiently accurate for calibration, the kinematic calibration experiment on the prototype machine is performed by using a ball-bar. The effectiveness of the kinematic calibration method with a ball-bar is verified through the well­known circular test.

DEVELOPMENT OF A 2-D UNSTEADY FLOW SIMULATION CODE USING CARTESIAN MESHES (직교격자를 이용한 2차원 비정상 유동해석 코드 개발)

  • Jung, Min-Kyu;Lee, Jae-Eun;Park, Se-Youn;Kwon, Oh-Joon;Kwon, Jang-Hyuk;Shin, Ha-Yong
    • 한국전산유체공학회:학술대회논문집
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    • 2009.04a
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    • pp.116-120
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    • 2009
  • A two-dimensional unsteady inviscid flow solver has been developed for the simulation of complex geometric configurations on adaptive Cartesian meshes. Embedded condition was used for boundary condition and a predictor-corrector explicit time marching scheme was used for time-accurate numerical simulation. The Cartesian mesh generator, which was previously developed for steady problem, was used grid generation for unsteady flow. The solver was based on ALE formulation for body motion. For diminishing the effects of cut-cells, the cell merging method was used. Using cell merging method, it was eliminated the CFL constraints. The conservation problem, which is caused cell-type variation around region swept by solid boundary, was also solved using cell merging method. The results are presented for 2D circular cylinder and missile launching problem.

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Computation of the Euler Equations on the Adaptive Cartesian Grids Using the Point Gauss-Seidel Method (적응형 Cartesian 격자기법에서 Point Gauss-Seidel 기법을 사주한 Euler 방정식 계산)

  • Lee J. G.;Chang K. S.
    • 한국전산유체공학회:학술대회논문집
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    • 2001.05a
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    • pp.93-98
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    • 2001
  • An adaptive Cartesian grid method having the best elements of structured, unstructured, and Cartesian grids is developed to solve the steady two-dimensional Euler equations. The solver is based on a cell-centered finite-volume method with Roe's flux-difference splitting and implicit point Gauss-seidel time integration method. Calculations of several compressible flows are carried out to show the efficiency of the developed computer code. The results were generally in good agreements with existing data in the literature and the developed code has the good ability to capture important feature of the flows.

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VORTEX-INDUCED VIBRATION SIMULATION OF MULTIPLE CIRCULAR CYLINDERS IN LOW REYNOLDS NUMBER FLOWS USING CARTESIAN MESHES (직교 격자를 이용한 저 레이놀즈 수 유동장내 다중 배치된 실린더의 와유기 진동 해석)

  • Han, Myung-Ryoon;Ahn, Hyung-Teak
    • Journal of computational fluids engineering
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    • v.16 no.1
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    • pp.73-82
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    • 2011
  • In this paper, the vortex-induced vibration of circular cylinders is studied using the immersed boundary method on the Cartesian mesh. The Reynolds numbers considered is from 100 to 200. Using the configuration of tendemly arranged multiple circular cylinders, the vortex shedding behind of the cylinders and their flow-induced motion are investigated. The staggered MAC grid arrangement, which is the typical grid system for the incompressible flow on the Cartesian meshes, is utilized. Pressure correction method is applied for solving the divergence-free incompressible velocity field. The body motion is described by immersed boundary technique that has advantages for moving object on the fixed computational domain. It is also discussed for the computational noise in hydrodynamic forces when body motion is represented by the immersed boundary method. The Predictor/Corrector method is used for simulating the nonlinear response of the elastically mounted cylinder excited by vortex-shedding.

Two Evolutionary Gait Generation Methods for Quadruped Robots in Cartesian Coordinates Space and Join Coordinates Space (직교좌표공간과 관절공간에서의 4족 보행로봇의 두 가지 진화적 걸음새 생성기법)

  • Seo, Kisung
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.63 no.3
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    • pp.389-394
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    • 2014
  • Two evolutionary gait generation methods for Cartesian and Joint coordinates space are compared to develop a fast locomotion for quadruped robots. GA(Genetic Algorithm) based approaches seek to optimize a pre-selected set of parameters for the locus of paw and initial position in cartesian coordinates space. GP(Genetic Programming) based technique generate few joint trajectories using symbolic regression in joint coordinates space as a form of polynomials. Optimization for two proposed methods are executed using Webots simulation for the quadruped robot which is built by Bioloid. Furthermore, simulation results for two proposed methods are analysed in terms of different coordinate spaces.

Development of Viscous Boundary Conditions in an Immersed Cartesian Grid Framework

  • Lee, Jae-Doo
    • Journal of Ship and Ocean Technology
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    • v.10 no.3
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    • pp.1-16
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    • 2006
  • Despite the high cost of memory and CPU time required to resolve the boundary layer, a viscous unstructured grid solver has many advantages over a structured grid solver such as the convenience in automated grid generation and vortex capturing by solution adaption. In present study, an unstructured Cartesian grid solver is developed on the basis of the existing Euler solver, NASCART-GT. Instead of cut-cell approach, immersed boundary approach is applied with ghost cell boundary condition, which can be easily applied to a moving grid solver. The standard $k-{\varepsilon}$ model by Launder and Spalding is employed for the turbulence modeling, and a new wall function approach is devised for the unstructured Cartesian grid solver. Developed approach is validated and the efficiency of the developed boundary condition is tested in 2-D flow field around a flat plate, NACA0012 airfoil, and axisymmetric hemispheroid.

CANCELLATION OF LOCAL SPHERES WITH RESPECT TO WEDGE AND CARTESIAN PRODUCT

  • Hans Scheerer;Lee, Hee-Jin
    • Journal of the Korean Mathematical Society
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    • v.33 no.1
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    • pp.15-23
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    • 1996
  • Let C be a category of (pointed) spaces. For $X, Y \in C$ we denote the wedge (or one point union) by $X \vee Y$ and the cartesian product by $X \times Y$. Let $Z \in C$; we say that Z cancels with respect to wedge (resp. cartesian product) and C, if for all $X, Y \in C$ the existence of a homotopy equivalence $X \vee Z \to Y \vee Z$ implies the existence of a homotopy equivalence $X \to Y$ (resp. for cartesian product). If this does not hold, we say that there is a non-cancellation phenomenon involving Z (and C).

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