• Title/Summary/Keyword: 오일러

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Effects of Characteristic Condition Number on Convergence in Calculating Low Mach Number Flows, I : Euler Equations (저속 유동 계산의 수렴성에 미치는 특성 조건수의 영향 I : 오일러 방정식)

  • Lee, Sang-Hyeon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.2
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    • pp.115-122
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    • 2008
  • The effects of characteristic condition number on the convergence of preconditioned Euler equations were investigated. The two-dimensional preconditioned Euler equations adopting Choi and Merkle's preconditioning and the temperature preconditioning are considered. Preconditioned Roe's FDS scheme was adopted for spatial discretization and preconditioned LU-SGS scheme was used for time integration. It is shown that the convergence characteristics of the Euler equations are strongly affected by the characteristic condition number, and there is an optimal characteristic condition number for a problem. The optimal characteristic condition numbers for the Choi and Merkle's preconditioning and temperature preconditioning are different.

Comparisons of Kinematical Analysis for the Universal-joint System by Using Finite Rotations and Quaternions (유한회전과 4원수를 이용한 유니버설 조인트 시스템의 기구해석 비교)

  • Yun, Seong-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.2
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    • pp.183-189
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    • 2010
  • This paper deals with the comparison of analysis methodologies by applying both Euler angle and quaternion to observe the kinematical behavior of the universal joint system used as an automotive drive-shaft. At first, conventional approaches are applied to predict a kinematical behavior by introducing only Euler angles into the universal joint system, but turns out to be lack in consistency and reliability of the analysis. Then to overcome this deficiency in numerical analysis a different methodology is proposed by using quaternion in this system. Its corresponding advantage is discussed in terms of kinetic energy, rotational velocity and rotational displacement. The application of quaternions in the numerical experiment is shown to be a more useful and valid way of establishing the ideal analytical model of the universal joint system.

A Pollutant Transport Model by the Forward-Tracking Method (전방추적법에 의한 오염물질의 전송 모델)

    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.10 no.1
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    • pp.37-44
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    • 1998
  • In this study a new hybrid method is developed for solving flow-dominated transport problems accurately and effectively. The method takes the forward-tracking particle method for advection. However, differently from the random-walk Lagrangian approach it solves the diffusion process on the fixed Eulerian grids. Therefore, neither any interpolating algorithm nor a large enough number of particles is required. The method was successfully examined for both cases of instantaneous and continuous sources released at a point. Comparison with a surrounding 5-point Hermite polynomial method (Eulerian-Lagrangian method) and the random-walk pure Lagrangian method shows that the present method is superior in result accuracy and time-saving ability.

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SUPERSONIC/HYPERSONIC UNSTEADY AERODYNAMIC ANALYSIS OF A WEDGE-TYPE AIRFOIL USING NONLINEAR PISTON THEORY AND EULER EQUATIONS (비선형 피스톤 이론과 오일러 방정식을 이용한 쐐기형 에어포일의 초음속/극초음속 비정상 공력해석)

  • Kim Dong-Hyun
    • Journal of computational fluids engineering
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    • v.10 no.3 s.30
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    • pp.1-8
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    • 2005
  • In this study, unsteady aerodynamic analyses of a wedge-type airfoil based on nonlinear piston theory and Euler equations have been performed in supersonic and hypersonic flows. The third-order nonlinear piston theory (NPT) to calculate unsteady lift and moment coefficients is derived and applied in the time-domain. Also, unsteady flow quantities are obtained from the two-dimensional time-dependent Euler equations. For the CFD based unsteady aerodynamic analyses, an arbitrary Lagrangean-Eulerian (ALE) formulation for the Euler equations is used to calculate flow fluxes in the computational flow field with moving boundaries. Numerical comparisons for unsteady lift and moment coefficients are presented between NPT and Euler approaches. The results show very good agreements in the high supersonic and hypersonic flows. It means that the present NPT can be efficiently used to predict unsteady aerodynamic forces ol wedge type airfoils with dynamic motions in the high supersonic and hypersonic flow regimes.

Prediction of Pressure Drop in Venturi Scrubber Using the Eulerian - Lagrangian Method (오일러-라그랑지 방법을 이용한 벤튜리 스크라버의 압력강하 계산)

  • Pak S, I.;Moon Y. W.;Chang K. S.
    • 한국전산유체공학회:학술대회논문집
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    • 2004.03a
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    • pp.190-195
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    • 2004
  • The pressure drop in a Venturi Scrubber is predicted using the Eulerian-Lagrangian Method, which is one of the numerical methods to solve the dispersed two-phase flow. KIVA-3V Code is modified to solve the coupled gas-liquid two-phase flow field. The liquid is assumed to be injected through the nozzles with the Rosin-Rammler drop size distribution. The computational results shows good agreement with the experimental data.

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Dynamic Analysis of Underwater Tracked Vehicle on Extremely Soft Soil by Using Euler Parameters (오일러 매개변수를 이용한 해저연약지반 무한궤도 차량의 동적거동 해석)

  • Kim, Hyung-Woo;Hong, Sup;Choi, Jong-Su;Yeu, Tae-Kyeong
    • Journal of Ocean Engineering and Technology
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    • v.20 no.6 s.73
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    • pp.93-100
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    • 2006
  • This paper is concerned with the dynamic analysis of an underwater tracked vehicle, operating on extremely soft soil of the deep-seafloor. The vehicle is assumed as a rigid-body with 6-dof. The orientation of the vehicle is defined by four Euler parameters. To solve the motion equations of the vehicle, the Newmark numerical integrator is used in the incremental-iterative algorithm. The normalization constraint of Euler parameters is satisfied by using of a sequential updating method. The hydrodynamic force and moment are included in the tracked vehicle's dynamics. The hydrodynamic effects on the performance of tracked vehicles are investigated through numerical simulations.

A STUDY ON THE UNSTEADY AERODYNAMIC ANALYSIS OF HELICOPTER ROTOER USING EULER EQUATIONS AND FREE WAKE METHOD (오일러 방정식과 자유 후류법을 이용한 헬리콥터 로터의 비정상 공력 해석 연구)

  • Lee, Jae-Hun;Wie, Seong-Yong;Kwon, Jang-Hyuk;Lee, Duck-Joo;Kim, Da-Hee
    • 한국전산유체공학회:학술대회논문집
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    • 2007.04a
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    • pp.116-119
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    • 2007
  • In this study the unsteady aerodynamic analysis of a hovering helicopter rotor is performed. For the accurate flow field analysis Euler equations and the free wake method are coupled. The Euler equations are solved to find the pressure distribution around the rotor, and free wake method is used to give the boundary condition for the solution of Euler equations. Also, vortex strength and wake motion after the rotor are simulated by the free wake method. The accuracy of the present method is compared with the source sink model. The present method is applied to the hovering Caradonna-Tung rotor and compared with experimental results.

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타원형 미분작용소와 특성류이론

  • 김홍종
    • Communications of the Korean Mathematical Society
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    • v.12 no.4
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    • pp.1015-1021
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    • 1997
  • 타원형 미분작용소의 이론을 이용하여 옹골 다양체에서 정의된 벡터장의 특이점에 관한 푸앵카레-호프의 이론과 평다발의 오일러-푸앵카레 특성수를 연관시키는 법을 살펴보았다.

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Evaluation of Nozzle's Combustion Instability Suppression Effect by Linearized Euler Equation (선형 오일러 방정식을 이용한 노즐의 연소불안정 감쇠 효과 평가)

  • Kim, Junseong;Moon, Heejang
    • Journal of the Korean Society of Propulsion Engineers
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    • v.23 no.6
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    • pp.1-10
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    • 2019
  • The wave motion inside the nozzle is known as one of the major damping elements of the rocket's combustion instability by it's aeroacoustic effects that result from the flow passage through the nozzle throat. These effects can be quantitatively evaluated by the nozzle admittance. In this study, one-dimensional linearized Euler equation was adopted to calculate the nozzle admittance, and trend analysis was performed depending on the nozzle's main design variables. As a result, when nozzle converging part shortens, it is verified that the frequency dependency of the nozzle admittance is decreased due to the widened frequency range with lowered longitudinal nozzle admittance. Also, admittance estimation using the short nozzle theory is not appropriate when the first tangential mode of the pressure perturbation arises.

An Improved Nonparametric Change Detection Algorithm Using Euler Number and Structure Tensor (오일러 수와 구조 텐서를 사용한 개선된 Nonparametric 변화 검출 알고리즘)

  • 이웅희;김태희;정동석
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.10C
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    • pp.958-966
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    • 2003
  • Change detection algorithms based on frame difference are frequently used for finding moving objects in image sequences. These algorithms detect the change of frames using estimated statistical background model. But, if this estimated background model is different from the actual statistical distribution, false detections are generated. In this paper, we propose an improved change detection algorithm using euler number and structure tensor. The proposed mapping method which is based on the euler number can be used for reducing the false detections that generated by nonparametric change detection algorithm. In this paper, the change in the region of moving object also can be detected by the proposed method using structure tensor. Experimental result shows that the proposed method reduces the false detections effectively by 90% on "Weather", by 34% on "Mother & daughter" and by 43% on "Aisle" than an existing method does.