• 제목/요약/키워드: Non-orthogonal Coordinate System

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Research on a Multi-level Space Vector Modulation Strategy in Non-orthogonal Three-dimensional Coordinate Systems

  • Zhang, Chuan-Jin;Wei, Rui-Peng;Tang, Yi;Wang, Ke
    • Journal of Power Electronics
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    • 제17권5호
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    • pp.1160-1172
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    • 2017
  • A novel space vector modulation strategy in the non-orthogonal three-dimensional coordinate system for multi-level three-phase four-wire inverters is proposed in this paper. This new non-orthogonal three-dimensional space vector modulation converts original trigonometric functions in the orthogonal three-dimensional space coordinate into simple algebraic operations, which greatly reduces the algorithm complexity of three-dimensional space vector modulation and preserves the independent control of the zero-sequence component. Experimental results have verified the correctness and effectiveness of the proposed three-dimensional space vector modulation in the new non-orthogonal three-dimensional coordinate system.

비직교좌표계에 대한 P-1 근사법 및 유한체적법을 이용한 주유동 중의 원형실린더 주위의 복사열전달 해석 (Analysis of Radiative Heat Transfer about a Circular Cylinder in a Crossflow by P-l Approximation and Finite Volume Method in Non-Orthogonal Coordinate System)

  • 이공훈;이준식;최만수
    • 대한기계학회논문집
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    • 제19권3호
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    • pp.806-819
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    • 1995
  • A study of radiative heat heat transfer has been done in the non-orthogonal coordinate system utilizing the finite volume method and the P.1 approximation. Radiation of absorbing, emitting and scattering media in a concentric annulus has been solved using the non-orthogonal coordinate and the calculations were compared with the existing results. The results obtained from the analysis using the finite volume method are in good agreement with the existing calculations for all optical thicknesses. It was also shown that for only optically thick cases, P-1 approximation can be used in a non-orthogonal coordinate. Convective heat transfer analysis has been carried out to obtain the temperature fields in a cross flow around a circular cylinder and the finite volume method was applied in the non-orthogonal coordinate system to analyze radiative heat transfer. Effects of the optical thickness, the ratio of the surface temperature of the cylinder tot he free stream temperature, and the scattering albedo on radiation have been presented.

역압력 구배가 있는 난류유동에 대한 수치적 연구 (A numerical study of turbulent flows with adverse pressure gradient)

  • 김형수;정태선;최영기
    • 대한기계학회논문집
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    • 제15권2호
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    • pp.668-676
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    • 1991
  • Turbulent flows around tube banks and in the diffuser were studied using a non-orthogonal boundary fitted coordinate system and the modified K-.epsilon. turbulence model. In these cases, many problems emerge which stem from the geometrical complexity of the flow domain and the physical complexity of turbulent flow itself. To treat the complex geometry, governing equations were reformulated in a non-orthogonal coordinate system with Cartesian velocity components and discretised by the finite volume method with a non-staggered variable arrangement. The modified K-.epsilon. model of Hanjalic and Launer was applied to solve above two cases under the condition of strong and mild pressure gradient. The results using the modified K-.epsilon. model results in both test cases.

탄성 변형 영역을 고려한 비정상 평면 변형 이상 공정 이론 (Nonsteady Plane-strain ideal forming with elastic dead zone)

  • 이원오;정관수
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2004년도 춘계학술대회 논문집
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    • pp.190-193
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    • 2004
  • Ever since the ideal forming theory has been developed fur process design purposes, application has been limited to sheet forming and, for bulk forming, to two-dimensional steady flow. Here, application for the non-steady case was performed under the plane-strain condition based on the theory previously developed. In the ideal flow, material elements deform following the minimum plastic work path (or mostly proportional true strain path) so that the ideal plane-strain flow can be effectively described using the two-dimensional orthogonal convective coordinate system. Besides kinematics, for a prescribed final part shape, schemes to optimize a preform shape out of a class of initial configurations and also to define the evolution of shapes and boundary tractions were developed. Discussions include the two problematic issues on internal tractions and the non-monotonous straining. For demonstration purposes, numerical calculations were made for a bulk part under forging.

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Numerical Analysis of Evolution of Thermal Stratification in a Curved Piping System

  • Park, Seok-Ki;Nam, Ho-Yun;Jo, Jong-Chull
    • Nuclear Engineering and Technology
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    • 제32권2호
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    • pp.169-179
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    • 2000
  • A detailed numerical analysis of the evolution of thermal stratification in a curved piping system in a nuclear power plant is performed. A finite volume based thermal-hydraulic computer code has been developed employing a body-fitted, non-orthogonal curvilinear coordinate for this purpose. The cell-centered, non-staggered grid arrangement is adopted and the resulting checkerboard pressure oscillation is prevented by the application of momentum interpolation method. The SIMPLE algorithm is employed for the pressure and velocity coupling, and the convection terms are approximated by a higher-order bounded scheme. The thermal-hydraulic computer code developed in the present study has been applied to the analysis of thermal stratification in a curved duct and some of the predicted results are compared with the available experimental data. It is shown that the predicted results agree fairly well with the experimental measurements and the transient formation of thermal stratification in a curved duct is also well predicted.

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

  • 신종근;최영돈
    • 대한기계학회논문집
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    • 제12권5호
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    • pp.1158-1174
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    • 1988
  • 본 연구에서는 계단형 벽면조건을 없게 하기 위해서 비직교 좌표계(non-orth- ogonal coordinate system)를 사용하여 수치해석하였다. 비직교 좌표계를 이용한 수 치해석의 예는 Thompson등이 Laplace방정식 혹은 Poisson방정식을 해석함으로써 비직 교 격자망을 구성한 바 있고, Fahgri와 Asako는 대수적 비직교 좌표변환으로 유한차분 방정식을 유도하여 비정규경계면을 갖는 관로에서의 유동특성을 해석하였으며 이재헌 과 이상렬은 Fahgri와 Asako의 방법을 비정규경계면을 갖는 밀폐공간내에서의 자연대 류의 수치해석에 적용한 바 있다. 본 해석에서도 Fahgri와 Asako의 변환법으로 유한 차분방정식을 유도하였는데, 이 방법을 사용할 경우 확대관의 경사벽면을 계단형으로 만들지 않고 유한차분방정식을 유도할 수 있어서 계단형 벽면으로 인한 해의 오차를 제거할 수 있다. Fig.2는 본 해석에서 사용한 비직교 격자망을 나타낸다.

탄성 변형 영역을 고려한 비정상 평면 변형 이상 공정 이론 (Nonsteady Plane-strain Ideal Forming with Elastic Dead Zone)

  • 이원오;정관수;;강태진
    • 소성∙가공
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    • 제13권6호
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    • pp.540-545
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    • 2004
  • Ever since the ideal forming theory has been developed for process design purposes, application has been limited to sheet forming and, fur bulk forming, to two-dimensional steady flow. Here, application for the non-steady case was performed under the plane-strain condition based on the theory previously developed. In the ideal flow, material elements deform following the minimum plastic work path (or mostly proportional true strain path) so that the ideal plane-stram flow can be effectively described using the two-dimensional orthogonal convective coordinate system. Besides kinematics, fur a prescribed final part shape, schemes to optimize a preform shape out of a class of initial configurations and also to define the evolution of shapes and boundary tractions were developed. Discussions include the two problematic issues on internal tractions and the non-monotonous straining. For demonstration purposes, numerical calculations were made for a bulk part under forging.

Nonsteady Plane-strain Ideal Forming without Elastic Dead-zone

  • Chung, Kwansoo;Lee, Wonoh;Kang, Tae Jin;Youn, Jae Ryoun
    • Fibers and Polymers
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    • 제3권3호
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    • pp.120-127
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    • 2002
  • Ever since the ideal forming theory has been developed for process design purposes, application has been limited to sheet forming and, for bulk forming, to two-dimensional steady flow. Here, application for the non-steady case was made under the plane-strain condition. In the ideal flow, material elements deform fellowing the minimum plastic work path (or mostly proportional true strain path) so that the ideal plane-strain flow can be effectively described using the two-dimensional orthogonal convective coordinate system. Besides kinematics, schemes to optimize preform shapes for a prescribed final part shape and also to define the evolution of shapes and frictionless boundary tractions were developed. Discussions include numerical calculations made for a real automotive part under forging.

측풍영향을 고려한 고속전철 주위의 3차원 난류유동 해석 (Numerical Analysis of 3-D Turbulent Flows Around a High Speed Train Including Cross-Wind Effects)

  • 정영래;박원규;하성도
    • 한국전산유체공학회지
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    • 제1권1호
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    • pp.71-80
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    • 1996
  • An iterative time marching procedure for solving incompressible turbulent flow has been applied to the flows around a high speed train including cross-wind effects. This procedure solves three-dimensional unsteady incompressible Reynolds-averaged Navier-Stokes equations on a non-orthogonal curvilinear coordinate system using first-order accurate schemes for the time derivatives and third/second-order accurate schemes for the spatial derivatives. Turbulent flows have been modeled by Baldwin-Lomax turbulent model. To validate present procedure, the flow around a high speed train at zero yaw angle was simulated and compared with experimental data. Generally good agreement with experiments was achieved. The flow fields around the high speed train at 9.2°, 16.7°, and 45° of yaw angle were also simulated.

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열성층유동 곡관벽에서의 과도온도분포 예측 (Prediction of Transient Temperature Distributions in the Wall of Curved Piping System Subjected to Internally Thermal Stratification Flow)

  • 조종철;조상진;김윤일;박주엽;김상재;최석기
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집E
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    • pp.474-481
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    • 2001
  • This paper addresses a numerical method for predicting transient temperature distributions in the wall of a curved pipe subjected to internally thermal stratification flow. A simple and convenient numerical method of treating the unsteady conjugate heat transfer in the non-orthogonal coordinate systems is presented. The proposed method is implemented in a finite volume thermal-hydraulic computer code based on a cell-centered, non-staggered grid arrangement, the SIMPLEC algorithm, a higher-order bounded convection scheme, and the modified version of momentum interpolation method. Calculations are performed for the transient evolution of thermal stratification in two curved pipes, where the one has thick wall and the other has so thin wall that its presence can be negligible in the heat transfer analysis. The predicted results show that the thermally stratified flow and transient conjugate heat transfer in a curved pipe with a finite wall thickness can be satisfactorily analyzed by the present numerical method, and that the neglect of wall thickness in the prediction of pipe wall temperature distributions can provide unacceptably distorted results.

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