• Title/Summary/Keyword: 비직교 좌표계

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Numerical analysis of turbulent recirculating flow in swirling combustor by non-orthogonal coordinate transformation (비직교 좌표변환에 의한 선회연소기내 난류재순환유동의 수치해석)

  • 신종근;최영돈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.5
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    • pp.1158-1174
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    • 1988
  • A numerical technique is developed for the solution of fully developed turbulent recirculating flow in the passage of variable area using the non-orthogonal coordinate transformation. In the numerical analysis, primitive pressure-velocity finite difference equations were solved by SIMPLER algorithm with 2-equation turbulence model and algebraic stress model (ASM). QUICK scheme on the differencing of convective terms which is free from the inaccuracies of numerical diffusion has been applied to the variable grids and the results compared with those from HYBRID scheme. In order to test the effect of streamline curvatures on turbulent diffusion Lee and Choi streamline curvature correction model which has been obtained by modifying the Leschziner and Rodi's model is testes. The ASM was also employed and the results are compared to those from another turbulence model. The results show that difference of convective differencing schemes and turbulence models give significant differences in the prediction of velocity fields in the expansion region and outlet region of the combustor, however show little differences in the parallel flow region.

Tracking Filter Dealing with Nonlinear Inherence as a System Input (비선형 특성을 시스템 입력으로 처리하는 추적 필터)

  • Shin, Sang-Jin
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.25 no.7
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    • pp.774-781
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    • 2014
  • The radar measurements are composed of range, Doppler and angles which are expressed as polar-coordinate components. An approach to match the measurements with the states of target dynamics which are modeled in cartesian coordinates is to use the pseudo-measurements or the extended Kalman filter in order to solve the mismatching problem. Another approach is that the states of dynamics are modeled in polar coordinates and measurement equation is linear. However, this approach bears that we have to deal with a time-varying dynamics. In this study, it is proposed that the states of dynamics are expressed as polar-coordinate component and the system matrix of the dynamic equation is modeled as a time-invariant. Nonlinear terms that appear due to the proposed modeling are regarded as a system input. The results of a series of simulation runs indicate that the tracking filter that uses the proposed modeling is viable from the fact that the Doppler measurement is easy to be augmented in the measurement equation.

Enhanced Dual Contouring method by using the Feature of Spherical Coordinate System (구면 좌표계의 특성을 이용한 듀얼 컨투어링 기법 개선)

  • Kim, Jong-Hyun;Park, Tae-Jung;Kim, Chang-Hun
    • Journal of the Korea Computer Graphics Society
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    • v.17 no.2
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    • pp.27-36
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    • 2011
  • The Dual Contouring method has an advantage over the primal polygonization methods like the Marching Cube method in terms of better expression of sharp features. In this paper, the Dual Contouring method is implemented in Spherical coordinates, not the Cartesian ones to examine some characteristics. For this purpose, our octree is defined in Spherical coordinates, which is called "S-Octree". Among some characteristics, the proposed Dual Contouring method in the S-Octree tends to produce less vertices at the same octree level. In particular, for any surface models close to surface sphere, the generated mesh surfaces are smoother and more detailed than those of the Cartesian Dual Contouring approach for specific applications including mesh compression where available geometric information is quite limited.

The Control of Single-Phase Active Power Filter Using Modified Synchronous Reference Frame Method (수정된 동기좌표계를 이용한 단상능동전력필터 제어)

  • Hso, Jin-Seok;Kim, Young-Seok;Kim, Young-Jo
    • Proceedings of the KIEE Conference
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    • 2003.04a
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    • pp.281-284
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    • 2003
  • 본 논문에서는 비선형 단상부하에 의해 발생하는 전류 고조파를 보상하기 위한 단상능동전력필터의 제어방법을 제안한다. 정규의 단상에 시간지연을 주어 가상의 두 번째 상을 만들어 단상시스템을 두 축을 갖는 직교 좌표로 변환시킬 수 있다. 두 개의 상은 3상 2상 변환에서 사용하는 것과 같이 직교 좌표 시스템을 만들 수 있다. 이 것은 순시 무효전력을 계산하는 방법인 복소계산을 가능하게 한다. 고정 좌표계에서 순시무효전력이론을 적용한 기존의 방법 대신, 본 논문에서는 수정된 동기 좌표계를 이용하여 정상분과 역상분을 계산하여 보상전류 지령치를 결정하였다. 제안된 방법은 고조파저감과 PF개선에 있어 우수한 성능을 보여준다. 시뮬레이션 패키지(PSIM)를 사용하여 모의실험을 하였으며, 제안된 방법의 유효성을 입증하였다.

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Determination of Target Position with BRW Stereoatic Frame in non-orthogonal CT scans (비직교성 전산화단층촬영에서 뇌정위수술용 좌표계를 이용한 표적위치 결정)

  • Park, Tae-Jin;Kim, Ok-Bae;Son, Eun-Ik
    • Progress in Medical Physics
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    • v.3 no.1
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    • pp.53-62
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    • 1992
  • Stereotactic implantation of intracranial lesions, and the development of stereotactic convergent irradiation, radiosurgery, techniques have to obtain the accurate coordinates of the tumor locations and that of critical organ. Computed tomography(CT) provides relatively precise imformations of tumor localization and surround the normal organs for conventional radiotherapy. This CT image use to extend for stereotactic radiosurgery procedures. Since the convergent irradiation technique in linear accelerator requires the target center coincident with gantry isocenter or radosurgery frame, the target coordinates must be described in accurately. We used the BRW stereotactic system for describing the target position in CT images This algorithm provides the coordinate conversions for orthogonal or non-orthogonal CT scan image. In this experiments, the target positions have shown the small discripancy within :to.3mm uncertanty in several known target positions in the phantom through the provided programs and it compared to that of BRW stereotactic systems.

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Calculation of the incompressible Navier-stokes equations in generalized nonorthogonal body fitted coordinate system (일반 비직교 표면좌표계에서의 비압축성 Navier-Stokes방정식의 수치해석)

  • Gang, Dong-Jin;Bae, Sang-Su
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.3
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    • pp.1015-1027
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    • 1996
  • In this paper, a numerical procedure for the calculation of the incompressible Navier-Stokes equations in a generalized nonorthogonal body fitted coordinate system is proposed and is validated through three test problems. Present numerical procedure derives the pressure equation by using the pressure substitution method on the regular grid system, and discretized momentum equations are based on the covariant velocity components. Cavity flow, backward facing step flow, and two dimensional channel flow with a sinusoidal wavy wall are chosen as three test problems. Numerical solutions obtained by present procedure shows a good agreement with previous numerical and/or experimental results. Convergence rate is also satisfactory.

An Application Method of Curvilinear Coordinate System for Spatial Information based on River Network (하천 네트워크 기반 공간정보의 곡선좌표계 부여 방법)

  • You, Ho Jun;Kim, Dong Su
    • Proceedings of the Korea Water Resources Association Conference
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    • 2019.05a
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    • pp.195-195
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    • 2019
  • 최근 센싱 기술과 정보화의 영향으로 하천에서 발생하는 다양한 정보들이 디지털화되어 저장되고 있으며, 이를 효율적으로 저장하고 관리하고자 하는 연구가 수행되고 있다. 특히, 과거에는 점, 선, 면으로 구성된 자료 위주로 구성되어 있어 수집된 자료를 주제별로 관리하는 레이어 형식으로 저장하여 자료를 표출하기 위한 목적으로 설계되었지만, 최근에는 영상자료, 시계열자료 등 기존의 자료와 다른 비구조적 형태의 자료가 발생함에 따라 하천 네트워크를 기반으로 한 하천공간정보를 관계형 구조로 설계하고 있다. 하천의 경우, 각 하천공간정보가 가지는 고유의 값을 활용하여 인접한 하천 네트워크를 구성하는 하천의 중심선 혹은 최심선을 기준으로 하천공간정보들을 관계성을 부여한다. 하지만 이러한 관계성은 자료의 저장, 관리, 제공에는 유리한 측면이 있지만 기하학적인 고려가 없기 때문에 공간정보로서 활용하기에는 한계가 존재한다. 쉽게 설명하면, 1차원 점에 해당하는 공간좌표는 가장 가까운 하천 네트워크를 대상으로 관계성 부여가 가능하지만, 2차원 선과 3차원 면에 해당하는 도형을 대표하는 위치가 공간적으로 많기 때문이다. 본 연구에서는 하천 네트워크 기반 공간정보가 관계성을 부여하되 하천공간정보가 가지는 기하하적 구조를 반영하기 위해 하천 네트워크를 중심으로 한 곡선좌표계 부여 방법을 제시하고자 한다. 하천은 실제로 연속적으로 변화하며, 곡선으로 이루어져 있기 때문에 공간적으로 직교좌표계를 활용하기 보다는 곡선좌표계를 활용하는 것이 더 적합한 것으로 알려져 있다. 실제로 많은 수치해석 모형에서는 곡선좌표계를 고려하여 수치해석을 수행하고 있으며, 도로나 교통 분야의 공간정보에서도 공간적 고려를 위해 곡선좌표계를 활용하는 것으로 알려져 있다. 본 연구에서는 하천 중심선 혹은 최심선을 기준으로 흐름방향 거리를 S, 횡방향 거리를 N으로 설정하여 곡선좌표계를 정의하였으며, 직교좌표계와 곡선좌표계간의 좌표변환을 위해 이차원 변환방법인 투영변환을 활용하였다. 본 연구에서 제시된 방법을 활용할 경우, 하천 네트워크 기반 공간정보가 자료 간의 관계성을 유지하며, 기하하적 고려가 될 것으로 사료된다.

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A Study on the Development of General Purpose Program for the Analysis of 3-D Fluid Flow by Using a General non-Orthogonal Grid System (일반 비직교좌표계를 사용하는 3차원 범용 유동해석 프로그램의 개발)

  • 허남건;조원국;김광호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.12
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    • pp.3345-3356
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    • 1994
  • A general purpose program, TURBO-3D, for the analysis of 3-D fluid flow in complex geometry has been developed, which employs a standard $k-\varepsilon$ turbulence model and a general nonorthogonal grid system. For the purpose of verification of the program and testing the applicability, turbulent flows in an S-shaped diffuser and turbulent flows over an backward facing step are solved and compared with the earlier results. Comparison with the results by the STAR-CD program has been also made for the same flow configuration and grid structure. The agreements are excellent and hence the program has been verified. Since the present program is applicable only on limited flow phenomena and lacks the pre-and post processor, further improvements toward these directions are being made.

Calculations of Incompressible Flows In General Nonorthogonal Body Fitted Coordinates: Comparison of Hybrid and QUICK Sehemes (일반 비직교 표면좌표계에서의 비압축성 점성유동의 수치해석)

  • Gang, Dong-Jin;Bae, Sang-Su
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.5
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    • pp.1613-1623
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    • 1996
  • In this paper, two discretization methods, hybrid and QUICK, are tested for the Navier-Stokes equations written in general nonorthogonal body fitted coordinates. Comparison is made by calculating two laminar flows at low Reynolds numbers of 10 - 100. One is a two-dimensional channel of gradually expanding cross section and the other is an axisymmetric flow through a circular tube having a circular constriction. Results show that the QUICK scheme results in a numerical solution more accurate than that of hybrid. The QUICK scheme also shows faster convergence for both test cases. As the number of grid points increases, all numerical solutions converge with more oscillation. The number of grid points in the y-direction(cross stream direction) is also shown to play a significant role in the approximation of convection term within separated flow zone.