• Title/Summary/Keyword: Stokes' problem

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NUMERICAL ANALYSIS OF THERMAL FLOW OF CABIN INTERIOR AND DE-ICING ON AUTOMOBILE GLASS (자동차 내부 열유동해석 및 전방유리면의 해빙 전산해석)

  • Song D. W.;Park W. G.;Jang K. L.
    • 한국전산유체공학회:학술대회논문집
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    • 2005.10a
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    • pp.75-80
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    • 2005
  • The present work was undertaken to numerically analyze the defrosting phenomena of windshield glass. In order to analysis the phase change from frost to water on windshield glass by discharging hot air from a defroster nozzle, the flow and the temperature field of the cabin interior, the heat transfer through the windshield glass, and the phase change of frost should be solve simultaneously. In the present work, the flow field was obtained by solving 3-D incompressible Navier-Stokes equations, and the temperature field was computed from the incompressible energy equation. The phase change process was solved by the enthalpy method. For the code validation, the temperature and the phase change of the driven cavity were calculated. The calculation showed a good agreement with other numerical results. Then, the present code was applied to the defrosting problem of a real automobile, and a good agreement with the experimental data was also obtained.

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Successive Interactions of a Shock Wave with Serially Arranged Vortices

  • Chang, Se-Myong;Chang, Keun-Shik
    • Journal of Mechanical Science and Technology
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    • v.18 no.4
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    • pp.664-670
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    • 2004
  • Navier-Stokes computation based on a new simplified model is proposed to investigate the interactions of a moving shock wave with multiple vortices arranged in the serial manner. This model problem simulates shock-vortexlet interactions at the shear layer of a compressible vortex often observed in the experiment. Applying the Foppl's idea, we extended the Rankin's model generally used for the description of a single vortex to the multi-vortex version. The acoustic pulses accelerated and decelerated are successively generated and propagated from each shock-vortex interaction, which simply explains the genesis of eccentrically diverging acoustic waves appearing in the experimental photograph.

Convergence Study of Multigrid Method for K-$\omega$ Turbulence Equations (K-$\omega$ 난류방정식을 위한 다중격자기법의 수렴성 연구)

  • Park Soo Hvung;Sung Chun-ho;Kwon Jang Hyuk;Lee Seungsoo
    • Journal of computational fluids engineering
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    • v.7 no.4
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    • pp.19-27
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    • 2002
  • An efficient implicit multigrid method is presented for the Navier-Stokes and k-ω turbulence equations. Freezing and limiting strategies are applied to improve the robustness and convergence of the multigrid method. The eddy viscosity and strongly nonlinear production terms of turbulence are frozen in the coarser grids by passing down the values without update of them. The turbulence equations together with the Navier-Stokes equations, however, are consecutively solved on the coarser grids in a loosely coupled fashion. A simple limit for k is also introduced to circumvent slow-down of convergence. Numerical results for the unseparated and separated transonic airfoil flows show that all computations converge well without any robustness problem and the computing time is reduced to a factor of about 3 by the present multigrid method.

Dynamic Analysis of 3-D Rigid Foundations by Boundary Elements (강성기초의 3차원 동적 경계요소해석)

  • Lee, Chan Woo;Kim, Moon Kyum;Hwang, Hak Joo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.5
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    • pp.53-65
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    • 1993
  • In this work the dynamic response of 3-D arbitrarily shaped rigid massless foundation is numerically obtained using boundary element under non-relaxed boundary condition. The problem is formulated in time domain by the boundary element method. The fundamental solutions used in this work are the Stokes solutions of the three dimensional elastodynamics. This method has advantages over frequency domain techniques in that it provides in a natural and direct way the time history of the response and forms the basis for elct:ension to nonlinear problems. This work is verified and can be used for practical purpose.

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Convergence Study of $k-{\omega}$ Turbulence Equations for Compressible Flows (압축성 유동을 위한 $k-{\omega}$ 난류방정식의 수렴성 연구)

  • Park Soo Hyung;Sung Chun-ho;Kwon Jang Hyuk;Lee Seungsoo
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.31-34
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    • 2002
  • An efficient implicit multigrid method is presented for the Navier-Stokes and $k-{\omega}$ turbulence equations. Freezing and limiting strategies are applied to improve the robustness and convergence of the multigrid method. The eddy viscosity and strongly nonlinear production terms of turbulence are frozen in the coarser grids by passing down the values without update of them. The turbulence equations together with the Navier-Stokes equations, however, are consecutively solved on the coarser grids in a loosely coupled fashion. A simple limit for k is also introduced to circumvent slow-down of convergence. Numerical results for the unseparated and separated transonic airfoil flows show that all computations converge well without any robustness problem and the computing time is reduced to a factor of about 3 by the present multigrid method.

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Parametric Study on Shock-Vortex Interaction (충격파-와동 간섭의 파라메터 연구)

  • Chang Keun-Shik;Chang Se-Myong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.29 no.8 s.239
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    • pp.921-926
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    • 2005
  • In the idealized model problem of the interaction between a planar travelling shock and a symmetric vortex, the physics of shock distortion and quadrupole sound generation are well known to many researchers. However, the authors have distinguished the weak waves reflected and transmitted by the complicated photograph images obtained from a shock tube experiment. In this paper, we introduces a parametric study based on Navier-Stokes simulation and Rankin vortex model to see the difference of shock deformation shapes. Four combination of the strength of shock and vortex are respectively selected from a parameter plane of shock and vortex strength extended to the strong vortex region. The result shows clearly discernable wave morphology for the main parameters, which is not yet explicitly mentioned by other researchers.

Numerical Study of Defrost Phenomenon of Automobile Windshield (자동차 전방 유리면 성에 전산 해빙해석)

  • 박만성;황지은;박원규;장기룡
    • Transactions of the Korean Society of Automotive Engineers
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    • v.11 no.2
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    • pp.157-163
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    • 2003
  • This work was undertaken for the numerical analysis of defrosting phenomena of automobile windshield. To analyze the defrost, the flow and temperature field of cabin interior, heat transfer through the windshield glass, and phase change of the frost should be analyzed simultaneously. The flow field was obtained by solving the 3-D unsteady Navier-Stokes equation and the temperature field was computed by energy equation. The phase-change process of Stefan problem was solved by enthalpy method. For code validation, the temperature field of the driven cavity was calculated. The result of calculation shows a good agreement with the other numerical results. Then, the present code was applied to the defrosting analysis of a real automobile and, also, a good agreement with experiment was obtained.

Shape Design Optimization of Structure-Fluid Interaction Problems using NURBS Surfaces (NURBS 곡면을 이용한 구조-유체 연성문제의 형상 최적설계)

  • Jang, Hong-Lae;Kim, Min-Geun;Cho, Seon-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.508-511
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    • 2010
  • 본 논문에서는 정상상태 유체-구조 연성문제를 연속체 기반으로 정식화하고 유한요소법을 이용하여 완전 연성된 해를 구하였다. 대 변형을 고려하기 위하여 토탈 라그란지안 정식화를 사용하였으며 유체 및 구조의 비선형성이 고려되었다. 유체와 구조 영역의 형상을 NURBS 곡면을 이용하여 매개화하여 표현하였으며, 형상 최적화를 위해 효율적인 설계민감도 해석법인 애조인 기법을 이용하여 압력, 속도, 변위 등에 대한 설계민감도를 구하였다. 이를 이용하여 최소 컴플라이언스를 갖게 하는 구조물 내부의 유체영역의 설계 등의 수치예제를 통하여 개발된 방법론의 타당성을 확인하였다.

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Transonic characteristics for AGARD Wing 445.6 by numerical simulation

  • Ye, Wenjuan;Lee, Young-Shin;Lan, Jinhai
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2010.05a
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    • pp.331-334
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    • 2010
  • The supersonic speeds slowing down by shock waves is a common problem during the transonic region. So how to study the status of shock on the surface of airplane and wings is crucial adjective during transonic region. However, the theoretical and computational transonic flow problems were very hard. This paper introduced using Navier-Stokes Schemes to study characteristics of AGARD Wing 445.6 by ANSYS CFX in transonic region. From simulations results, as the Mach number increases, shock waves appear in the flowfield, getting stronger as the speed increases, these shock waves will lead to a rapid increase in drag.

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Polygon Reduction Algorithm for Three-dimensional Surface Visualization (3차원 표면 가시화를 위한 다각형 감소 알고리즘)

  • 유선국;이경상;배수현;김남현
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.5
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    • pp.368-373
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    • 2004
  • Surface visualization can be useful, particularly for internet-based education and simulation system. Since the mesh data size directly affects the downloading and operational performance, the problem that should be solved for efficient surface visualization is to reduce the total number of polygons, constituting the surface geometry as much as Possible. In this paper, an efficient polygon reduction algorithm based on Stokes' theorem, and topology preservation to delete several adjacent vertices simultaneously for past polygon reduction is proposed. The algorithm is irrespective of the shape of polygon, and the number of the polygon. It can also reduce the number of polygons to the minimum number at one time. The performance and the usefulness for medical imaging application was demonstrated using synthesized geometrical objects including plane. cube. cylinder. and sphere. as well as a real human data.