• Title/Summary/Keyword: Rectangular grid

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A Comparison of System Performances Between Rectangular and Polar Exponential Grid Imaging System (POLAR EXPONENTIAL GRID와 장방형격자 영상시스템의 영상분해도 및 영상처리능력 비교)

  • Jae Kwon Eem
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.2
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    • pp.69-79
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    • 1994
  • The conventional machine vision system which has uniform rectangular grid requires tremendous amount of computation for processing and analysing an image especially in 2-D image transfermations such as scaling, rotation and 3-D reconvery problem typical in robot application environment. In this study, the imaging system with nonuiformly distributed image sensors simulating human visual system, referred to as Ploar Exponential Grid(PEG), is compared with the existing conventional uniform rectangular grid system in terms of image resolution and computational complexity. By mimicking the geometric structure of the PEG sensor cell, we obtained PEG-like images using computer simulation. With the images obtained from the simulation, image resolution of the two systems are compared and some basic image processing tasks such as image scaling and rotation are implemented based on the PEG sensor system to examine its performance. Furthermore Fourier transform of PEG image is described and implemented in image analysis point of view. Also, the range and heading-angle measurement errors usually encountered in 3-D coordinates recovery with stereo camera system are claculated based on the PEG sensor system and compared with those obtained from the uniform rectangular grid system. In fact, the PEC imaging system not only reduces the computational requirements but also has scale and rotational invariance property in Fourier spectrum. Hence the PEG system has more suitable image coordinate system for image scaling, rotation, and image recognition problem. The range and heading-angle measurement errors with PEG system are less than those of uniform rectangular rectangular grid system in practical measurement range.

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Z-map Model Using Triangular Grids (삼각 격자를 이용한 Z-map 모델)

  • Park, Pae-Yong;Ahn, Jeong-Ho
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.824-828
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    • 2000
  • Prior to the downloading of the NC codes to a machining center, the NC tool-path can be verified in a computer. The Z-map is one of the tools for the verification of NC tool-path. The Z-map is a two dimensional array in which the height values of the Z-axis direction vectors are stored. The Z-axis direction vectors are arranged in a rectangular grid pattern on the XY plane. The accuracy of the simulation comes from the grid interval. In the rectangular Z-map, the distances between the grid points are different. The distance in diagonal direction is larger than those in X or Y axis directions. For the rendering of the Z-map, a rectangular grid is divided into two triangular facets. Depending on the selection of a diagonal, there are two different cases. In this paper, triangular Z-map, in which the Z-axis direction vectors are arranged in a triangular grid pattern on XY plane, is proposed. In the triangular Z-map, the distances between grid points are equal. There is no ambiguity to make triangular facets for the rendering.

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Three-Dimensional Numerical Simulation on a Circular-to-Rectangular Transition Duct (Circular-to-Rectangular Transition Duct 에서의 3차원 유동장에 관한 연구)

  • Cho Soo-Yong;Son Ho-Jae
    • 한국전산유체공학회:학술대회논문집
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    • 1998.11a
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    • pp.55-61
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    • 1998
  • The purpose of this study is to compare the predictive behaviors of the extended $k-{\varepsilon}$ turbulence model and the standard $k-{\varepsilon}$ turbulence model. Grid dependency is tested with the H-type grid and the O-type grid. Computations have been performed for a circular-to-rectangular transition duct. Numerical results for several sections along the streamwise have been obtained to compare with experimental results. The Reynolds number is 390,000 based on the bulk velocity at the inlet. The computed axial velocity contours, transverse velocity profiles, static pressure contours, peripheral skin friction coefficient, and peripheral wall static pressure distributions have been compared with experimental results. The computed results obtained with the extended $k-{\varepsilon}$ turbulence model show better agreement with experimental results than those obtained with the standard $k-{\varepsilon}$ turbulence model. Comparing to the computed results obtained with the H-type grid and O-type grid, those with H-type grid agree well with experimental results.

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Three-Dimensional Numerical Simulation within a Circular-to-Rectangular Transition Duct (Circular-to-Rectangular Transition Duct 내부의 3차원 유동장에 관한 연구)

  • Jo, Su-Yong;Jeong, Hui-Taek;Son, Ho-Jae
    • Journal of computational fluids engineering
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    • v.3 no.2
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    • pp.9-16
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    • 1998
  • Predictive behaviors by the extended k-${\varepsilon}$ turbulence model and the standard k-${\varepsilon}$ turbulence model are compared. Grid dependency is tested with the H-type grid as well as the O-type grid. Computations have been performed on a circular-to-rectangular transition duct. The Reynolds number is 390,000 based on the bulk velocity at the inlet. The computed axial velocity contours, transverse velocity profiles, static pressure contours, peripheral skin friction coefficient, peripheral wall static pressure distributions and turbulence kinetic energy have been compared with experimental results. The computed results than those obtained with the standard k-${\varepsilon}$ turbulence model. Comparing to the computed results obtained with the H-type grid and O-type grid, those with H-type grid seem to agree well with experimental results.

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A Space-Tapering Approach for a Rectangular Array (직사각형 어레이를 위한 공간체감 방법)

  • Chang, Byong-Kun
    • The Journal of the Acoustical Society of Korea
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    • v.14 no.1
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    • pp.115-122
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    • 1995
  • It is practical to taper the element (e.g., antenna or sensor) spacing with uniform weight rather than to taper the weights with uniform spacing. In a rectangular array, a triangular grid geometry of elements is more economical than a rectangular grid geometry in terms of reducing the number of elements. A space-tapering approach is proposed to improve the performance of a rectangular phased array with a triangular grid geometry of elements above a ground plane. The effects of space tapering on the main beam width and sidelobe level are discussed. It is shown that the proposed approach improves the sidelobe performance while the main beam width becomes a little broader.

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Generation Method of the Rectangular Grid Information for Finite Difference Model (유한차분모형을 위한 직사각형 격자정보 생성기법)

  • 정신택;조범준;김정대
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.15 no.3
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    • pp.190-195
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    • 2003
  • For many coastal problems, such as wave transformation, tidal circulation, sediment transports and diffusion phenomena, we resort to numerical techniques. The representative numerical techniques are the method of finite differences and finite elements. The approximate algebraic equations, referred to as finite difference equations(FDEs), are subsequently solved at discrete grid points within the domain of interests. Therefore, a set of grid points within the domain, as well as the boundaries of the domain, must be specified. The generation of grids for FDEs, with uniform spacing, is very simple compared to that of finite elements. However, within a very complex domain, there are few grid generation tools we can use conveniently. Unfortunately, most of the commercial grid generation programs are developed only for finite element method. In this paper, grid generation method using digitizer, with uniform rectangular spacing, are introduced in detail. Didger and Surfer programs by Golden Software are necessary to produce comparatively accurate and simple depth data.

Numerical Analysis of Flow around Rectangular Cylinders with Various Side Ratios

  • Rokugou Akira;Okajima Atsushi;Kamiyama Kohji
    • 한국전산유체공학회:학술대회논문집
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    • 2003.10a
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    • pp.36-37
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    • 2003
  • Three-dimensional numerical analysis of the flow around rectangular cylinders with various side ratios, D/H, from 0.2 to 2.0 is carried out for Reynolds number of 1000 by using multi-directional finite difference method in multi-grid. The predicted results are well compared with the experimental data. It is found that fluid dynamics characteristics alternate between high pressure mode. and low pressure mode of the base pressure for rectangular cylinder of D/H=0.2-0.6.

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A Study on Aerodynamic Properties of Two-Dimensional Rectangular Prism in Various Angles of Attack (다양한 영각을 갖는 2차원 장방형 각주의 공력특성에 관한 연구)

  • 송근택;김유택;이영호
    • Journal of Advanced Marine Engineering and Technology
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    • v.26 no.4
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    • pp.485-492
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    • 2002
  • The present study is aimed to reveal macroscopic aerodynamic characteristics of two-dimensional rectangular prisms with three aspect ratios(D/H=1, 2 and 3) and six angles of attack($0^{circ}, 10^{circ}, 13.5^{circ}, 20^{circ}, 30^{circ} and 45^{\circ}$). The Reynolds number is fixed as $1\times10^4$. The SOLA-based revised finite difference method for the conservation form on irregular grid was adopted as a new numerical method. Instantaneous flow patterns at $45^{\circ}$ in case of D/H=2 and D/H=3 show larger asymmetric wake development which is closely related to the sharp decrease of drag coefficients at higher angles of attack range. Vorticity propagation into enlarged wake region is conjectured to be responsible for this phenomenon. The Strouhal number is found to be sensitive to the angle of attack at higher aspect ratios(D/H=2 and 3).

MUTUAL COUPLING EFFECTS ON THE PERFORMANCE OF A SPACE-TAPERED RECTANGULAR PHASED ARRAY (공간체감된 구형 위상어레이의 성능에 미치는 상호결합의 영향)

  • Chang Byong-Kun
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.9 no.2
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    • pp.415-421
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    • 2005
  • The radiating or receiving characteristics of array elements (i.e., antennas) are changed from those of isolated elements due to mutual coupling effects and the array performance becomes different from those originally designed by assuming isolated elements. The effects of mutual coupling on the performance of a rectangular array with triangular grid geometry of dipoles above a ground plane are discussed with respect to element pattern. The concept of element gain function is used to examine the effects of mutual coupling on the array performance in terms of sidelobe level in the uniformly spaced and space-tapered rectangular arrays with triangular grid geometry of dipoles. It was shown that the sidelobe performance improved in the space-tapered array compared to the uniformly spaced array in the presence of mutual coupling effects. Computer simulation results are presented.

Flow solutions around rectangular cylinders: The question of spatial discretization

  • Corsini, Roberto;Angeli, Diego;Stalio, Enrico;Chibbaro, Sergio;Cimarelli, Andrea
    • Wind and Structures
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    • v.34 no.1
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    • pp.151-159
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    • 2022
  • The aerodynamics of blunt bodies with separation at the sharp corner of the leading edge and reattachment on the body side are particularly important in civil engineering applications. In recent years, a number of experimental and numerical studies have become available on the aerodynamics of a rectangular cylinder with chord-to-thickness ratio equal to 5 (BARC). Despite the interest in the topic, a widely accepted set of guidelines for grid generation about these blunt bodies is still missing. In this work a new, well resolved Direct Numerical Simulation (DNS) around the BARC body at Re=3000 is presented and its results compared to previous DNSs of the same case but with different numerical approaches and mesh. Despite the simulations use different numerical approaches, mesh and domain dimensions, the main discrepancies are ascribed to the different grid spacings employed. While a more rigorous analysis is envisaged, where the order of accuracy of the schemes are kept the same while grid spacings are varied alternately along each spatial direction, this represents a first attempt in the study of the influence of spatial resolution in the Direct Numerical Simulation of flows around elongated rectangular cylinders with sharp corners.