• Title/Summary/Keyword: 와도-속도 정식화

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Simulation of Viscous Flow Past NACA 0012 Poil using a Vortex Particle Method (보오텍스 방법에 의한 순간 출발하는 2차원 날개 주위의 점성유동 모사)

  • Lee S. J.;Kim K. S.;Suh J. C.
    • 한국전산유체공학회:학술대회논문집
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    • 2004.03a
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    • pp.161-165
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    • 2004
  • In the vortex particle method based on the vorticity-velocity formulation for solving the Wavier-Stokes equations, the unsteady, incompressible, viscous laminar flow over a NACA 0012 foil is simulated. By applying an operator-splitting method, the 'convection' and 'diffusion' equations are solved sequentially at each time step. The convection equation is solved using the vortex particle method, and the diffusion equation using the particle strength exchange(PSE) scheme which is modified to avoid a spurious vorticity flux. The scheme is improved for variety body shape using one image layer scheme. For a validation of the present method, we illustrate the early development of the viscous flow about an impulsively started NACA 0012 foil for Reynolds number 550.

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Computation of Pressure Fields in the Lagrangian Vortex Method (Lagrangian 보오텍스 방법에서의 압력장 계산)

  • 이승재;김광수;서정천
    • Journal of the Society of Naval Architects of Korea
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    • v.41 no.1
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    • pp.23-30
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    • 2004
  • In the Lagrangian vortex particle method based on the vorticity-velocity formulation for solving the incompressible Navier-Stokes equations, a numerical scheme for calculating pressure fields is presented. Implementation of the numerical method is directly connected with the well-established surface panel methods, just by dealing with the dynamic coupling among vorticity field. Assuming the vorticity and the velocity fields are to be calculated in time domain analysis, the pressure calculation for a complete set of solution at present time step is performed in a similar way to the one used in the Eulerian description. For a validation of the present method, we illustrate the early development of the viscous flow about an impulsive started circular cylinder for Reynolds number 550. The comparative study with the Eulerian finite Volume method provides an extensive understanding and application of the mesh-free Lagrangian vortex methods for numerical simulation of viscous flows around arbitrary bodies of general shape.

A Comparison of a Lagrangian Vortex Method with a Finite Volume Method for the Vorticity-Velocity Formulation. (와도-속도 정식화에서 Lagrangian 보오텍스법과 유한체적법의 비교)

  • Kim Kwang-Soo;Lee Seung-Jae;Suh Jung-Chun
    • 한국전산유체공학회:학술대회논문집
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    • 2002.10a
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    • pp.47-52
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    • 2002
  • We present an improved Lagrangian vortex method in 2-D incompressible unsteady viscous flows, which is based on a mesh-free integral approach of the velocity-vorticity formulation. Vorticity fields are represented by discrete vortex blobs that are updated by the Lagrangian vorticity transport with the particle strength exchange scheme. Velocity fields are expressed in a form of the Helmholtz decomposition, which are calculated by a fast algorithm of the Biot-Savart integration with a smoothed kernel and by a well-established panel method. No-slip condition is enforced through viscous diffusion of vorticity from a solid body into field. The vorticity flux is determined in such a way that spurious slip velocity vanishes. Through the comparison with the existing finite volume scheme for the transient vortical flows around an impulsively started cylinder at Reynolds number Re=550, we would obtain a more accurate scheme for vortex methods in complicated flows.

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Computation of Pressure Fields for a Hybrid Particle-Mesh Method (하이브리드 입자-격자 방법에서의 압력장 계산)

  • Lee, Seung-Jae;Suh, Jung-Chun
    • Journal of the Society of Naval Architects of Korea
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    • v.51 no.4
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    • pp.328-333
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    • 2014
  • A hybrid particle-mesh method based on the vorticity-velocity formulation for solving the incompressible Navier-Stokes equations is a combination of the Vortex-In-Cell(VIC) method for convection and the penalization method for diffusion. The key feature of the numerical methods is to determine velocity and vorticity fields around a solid body on a temporary grid, and then the time evolution of the flow is computed by tracing the convection of each vortex element using the Lagrangian approach. Assuming that the vorticity and velocity fields are to be computed in time domain analysis, pressure fields are estimated through a complete set of solutions at present time step. It is possible to obtain vorticity and velocity fields prior to any pressure calculation since the pressure term is eliminated in the vorticity-velocity formulation. Therefore, pressure field is explicitly treated by solving a suitable Poisson equation. In this paper, we propose a simple way to numerically implement the vorticity-velocity-pressure formulation including a penalty term. For validation of the proposed numerical scheme, we illustrate the early development of viscous flows around an impulsive started circular cylinder for Reynolds number of 9500.

Non-Quadratic Anisotropic Strain Rate Potential Defined in Plane Stress State (평면 응력 조건에서 정의된 비이차 비등방 변형률 속도 포텐셜)

  • Kim, D.;Kim, J.H.;Lee, Y.S.;Barlat, Frederic;Chung, K.
    • Transactions of Materials Processing
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    • v.20 no.5
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    • pp.369-376
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    • 2011
  • A non-quadratic anisotropic strain rate potential was introduced as a conjugate potential of the yield stress potential Yld2000-2d to describe anisotropic behavior of sheet metals, in particular, aluminum alloy sheets under plane stress state. This strain-rate potential takes into account the anisotropic yield stresses and R-values measured along the directions measured at 0, 45 and 90 degrees from the rolling direction, as well as the balanced biaxial yield stress and strain-rate ratio. The convexity of the strain-rate potential was completely proven. The strain-rate potential was applied for two anisotropic aluminum alloy sheets, AA6022-T4 and AA2090-T3. The results verified that the strain rate potential properly described the anisotropic behavior of aluminum alloy sheets and was closely conjugate of Yld2000-2d under the plane stress state.

Analysis of EMS NETWORK Topology Algorithm (EMS NETWORK Topology 알고리즘에 대한 연구)

  • Yu, Hyun-Jung;Choi, Young-Min;Kim, Min-Bae;Kim, Kwang-Ho;Park, Yong-Jo;Kim, Sung-Hak
    • Proceedings of the KIEE Conference
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    • 2007.11b
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    • pp.69-71
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    • 2007
  • 최근 들어 전력 계통은 점차 복잡해지고 계통의 규모 역시 빠른 속도로 성장하고 있다. 한국전력거래소는 전력계통의 안정적, 경제적 운영을 담당하고 있는 기관으로 '01년 현재의 에너지관리시스템(EMS)를 도입하여 실시간 전력계통에 대한 정확한 판단을 기반으로 전력계통의 안정성과 경제성 확보에 주력하고 있다. EMS의 대표적인 기능은 계통데이터의 수집(SCADA), 자동발전제어(AGC), 계통해석(NA) 등으로 대별되며, 이중 계통해석 기능은 프로그램 규모면에서 가장 큰 부분을 차지하고 있다. 계통해석 기능은 또다시 상태추정(SE), 상정사고분석(CA), 안전도해석(SENH), 고장해석(SCT) 등의 프로그램으로 구성되어 다양한 실시간 계통해석을 수행하게 된다. 전력계통 해석은 먼저 대상계통을 수학적 모델로 정식화하기 전에 계통망의 기하학적 구조를 기술하는 단계가 필요한데 이를 토폴로지 처리라고 하며, 보통 그래프이론인 노트(Node)와 마디(Branch)를 사용하여 전력계통망을 구성하는 요소들의 연결관계를 정의하게 된다. 본고는 이론적 수준을 넘어 EMS의 계통해석 기능에서 실계통을 해석하기 위해 쓰이고 있는 토폴로지 처리의 기본 알고리즘을 분석하여 국내 전력산업 기술 선진화에 기여하고자 한다.

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Comparative Study of Approximate Optimization Techniques in CAE-Based Structural Design (구조 최적설계를 위한 다양한 근사 최적화기법의 적용 및 비교에 관한 연구)

  • Song, Chang-Yong;Lee, Jong-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.11
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    • pp.1603-1611
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    • 2010
  • The comparative study of regression-model-based approximate optimization techniques used in the strength design of an automotive knuckle component that will be under bump and brake loading conditions is carried out. The design problem is formulated such that the cross-sectional sizing variables are determined by minimizing the weight of the knuckle component that is subjected to stresses, deformations, and vibration frequency constraints. The techniques used in the comparative study are sequential approximate optimization (SAO), sequential two-point diagonal quadratic approximate optimization (STDQAO), and approximate optimization based on enhanced moving least squares method (MLSM), such as CF (constraint feasible)-MLSM and Post-MLSM. Commercial process integration and design optimization (PIDO) tools are utilized for the application of SAO and STDQAO. The enhanced MLSM-based approximate optimization techniques are newly developed to ensure constraint feasibility. The results of the approximate optimization techniques are compared with those of actual non-approximate optimization to evaluate their numerical performances.

A Numerical Method for Wave Reflection and Transmission Due to Local Non-Uniformities in Waveguides at High Frequencies (국부적 불연속을 가진 도파관의 고주파수 대역 파동 반사 및 투과 해석 기법)

  • Ryue, Jung-Soo
    • The Journal of the Acoustical Society of Korea
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    • v.29 no.5
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    • pp.314-324
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    • 2010
  • In waveguide structures, waves may be partially reflected by local non-uniformities. The effects of local non-uniformities has been previously investigated by means of a combined spectral element and finite element (SE/FE) method at relatively low frequencies. However, since the SE is formulated based on a beam theory, the SE/FE method is not appropriated for analysis at higher frequencies where complex deformation of the waveguide occurs. So it is necessary to extend this approach for high frequencies. For the wave propagation at higher frequencies, a combined spectral super element and finite element (SSE/FE) method is introduced in this paper. As an example of the application of this method, wave reflection and transmission due to a local defect in a rail are simulated at frequencies between 20kHz and 30kHz. Also numerical errors are evaluated by means of the conservation of the incident power.

Han Wonjin's Criticism of Kim Changhyup's Theory of Jigak (남당 한원진의 김창협 지각론 비판)

  • Yi, Sunyuhl
    • The Journal of Korean Philosophical History
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    • no.36
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    • pp.43-74
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    • 2013
  • This paper aims to analyse Han Wonjin's criticism centered on Kim Changhyup's theory of Jigak(知覺). In the early 18th century, Kim Changhyup whose position considered as the leader of Rakhak(洛學) circle was the central figure in the debate on the controversial subject of Jigak. Han Wonjin as an opinion leader of Hohak(湖學)'s legacy was required to argue with his counterpart in order to establish his circle's standpoint. The main issue they discussed was the relationship between Ji(智) and Jigak. Kim contends that Ji and Jigak belong to different categories, and that the substance-function(體用) relation cannot be applied to them. According to him, the relation between Ji and Jigak is that of Do(道) and Gi(器). Similarly, the relation between Sim(心) and Sung(性) is that of subject and object. He also maintains that Jigak is not the phenomenalized mode of Ji, but the innate capability that employs Sung as the source of morality and turns it into feelings. In contrast, Han argues that Ji, as a ontological foundation of Jigak, is what enables Jigak to be a moral activity. In criticizing Kim Changhyup, Han maintains that if one denies the relation between Ji and Jigak, then one would have to characterize Jigak as a blind function with no moral sense. If one admits Jigak can have moral contents on its own without the connection with Ji, then one would have to allow two moral foundation, which leads one's idea into heretical beliefs. Han holds that Jigak can a moral function only when it is grounded upon Ji. In conclusion, Han emphasizes Ji as the base of Jigak that enables Jigak to realize morality while Kim emphasizes the role of Jigak as the principal agent of moral activity.

Optimization Techniques for the Inverse Analysis of Service Boundary Conditions in a Porous Catalyst Substrate with Fluid-Structure Interaction Problems (유체 구조 상호작용 문제를 가진 다공성 촉매 담체에서 실동경계조건의 역문제 해석을 위한 최적화 기법)

  • Baek, Seok-Heum;Cho, Seok-Swoo;Kim, Hyun-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.10
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    • pp.1161-1170
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    • 2011
  • This paper presents a solution to the inverse problem for the service boundary conditions of thermal-flow and structure analysis in a catalyst substrate. The exhaust-gas purification efficiency of a catalyst substrate is influenced by the shape parameter, catalyst ingredients and so on and is estimated by the thermal flow uniformity. The formulations of the inverse problem of obtaining the thermal-flow parameters (inlet temperature, velocity, heat of reaction, convective heat-transfer coefficient) and the direct problem of estimating from a given outlet temperature distribution are described. An experiment was designed and the response-surface optimization technique was used to solve the proposed inverse problem. The temperature distribution of the catalyst substrate was obtained by thermal-flow analysis for the predicted thermal-flow parameters. The thermal stress and durability assessments for the catalyst substrate were performed on the basis of this temperature distribution. The efficiency and accuracy of the inverse approach have been demonstrated through the achievement of good agreement between the thermal-flow response surface model and the results of experimental vehicle tests.