• 제목/요약/키워드: Euler 방정식

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유한수심 자유표면파 문제에 적용된 해밀톤원리 (Hamilton제s Principle for the Free Surface Waves of Finite Depth)

  • 김도영
    • 한국해양공학회지
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    • 제10권3호
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    • pp.96-104
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    • 1996
  • Hamilton's principle is used to derive Euler-Lagrange equations for free surface flow problems of incompressible ideal fluid. The velocity field is chosen to satisfy the continuity equation a priori. This approach results in a hierarchial set of governing equations consist of two evolution equations with respect to two canonical variables and corresponding boundary value problems. The free surface elevation and the Lagrange's multiplier are the canonical variables in Hamilton's sense. This Lagrange's multiplier is a velocity potential defined on the free surface. Energy is conserved as a consequence of the Hamiltonian structure. These equations can be applied to waves in water of finite depth including generalization of Hamilton's equations given by Miles and Salmon.

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혼합 대류 유동시스템에 부유된 고흡수 방사하는 입자의 열 확산 (Thermophoresis of highly absorbing, emitting particles suspended in a mixed convection flow system)

  • ;여석준
    • 오토저널
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    • 제14권3호
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    • pp.115-125
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    • 1992
  • 혼합 대류 이상 유동 시스템에 부유된 슈트와 미분탄과 같은 고흡수, 방사하는 입자의 열확산적 입자이동에 대한 복사 및 부력효과를 수치적으로 검토하였다. 기체 및 입자유동의 지배방정식 들은 Euler 관점의 two-fluid model의 근간에서 수행되었으며, 에너지 보존식의 비선형 복사 생 성항은 P-1 근사방법에 의해 계산되었다. 혼합 대류 유동에서의 입자의 열확산 현상은 복사 열 전달과 커플링되며, 복사효과의 증가는 부력효과를 상대적으로 감소시켜 부력효과에 의한 입자 부착율을 완화시켰다. 복사효과가 무시될 때 Grashof 수의 증가에 따라 입자의 확산효과는 감 소되었으며, 복사효과가 함께 작용될 때 입자 부착율은 증가됨을 보였다.

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Ballistic Range로 부터 발사되는 Projectile 공기역학에 관한 수치해석적 연구 (A Computational Study of the Aerodynamics of a Projectile Launched from a Ballistic Range)

  • 전구식;임채민;김희동;이정민
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2006년도 제26회 춘계학술대회논문집
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    • pp.371-375
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    • 2006
  • Ballistic Range로부터 발사되는 발사체의 공기역학적 특성을 조사하기 위하여 축대칭 비정상 압축성 오일러 방정식에 이동경계법을 적용하여, 수치계산을 수행하였다. 그 결과, 발사체의 형상과 질량을 변화시켜 발사체의 순간속도, 가속도, 공기저항력을 조사한 결과, 발사 직후 발사체의 거동과 주위 유동장의 특성을 예측할 수 있었다.

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PARSEC 함수를 이용한 헤어포일의 공력 형상 설계 연구 (A STUDY ON THE AERODYNAMIC SHAPE DESIGN WITH THE PARSEC FUNCTION)

  • 이재훈;정경진;권장혁;안중기
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2007년도 추계 학술대회논문집
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    • pp.88-91
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    • 2007
  • In the shape design optimization of an airfoil, the shape function has been used to find the optimal airfoil shape for given conditions. The parameters determining the airfoil shape are used in the shape design optimization as design variables. However, they usually don't have physical meaning. The PARSEC (Parametric Shapes) function is a recently proposed shape function and its parameters have the physical meaning. In this study the usefulness of the PARSEC is tested for the RAE2822 airfoil in the transonic flow region to reduce the shock strength and the result is compared with Hicks-Henne function. The optimized airfoils reduce the shock strength and they show similar result.

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탄성-완전-소성 보강쉘 구조물의 설계민감도해석 (Design Sensitivity Analysis of Elasto-perfectly-plastic Structure for Stiffened Shell Structure)

  • 정재준;이태희;임장근
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.746-752
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    • 2001
  • Design sensitivity analysis for nonlinear structural problems has been emerged in the last decade as a glowing area of engineering research. As a result, theoretical formulations and computational algorithms have already developed for design sensitivity of nonlinear structural problems. There is not enough research for practical nonlinear problems using multi-element, due to difficulties of implementation into FEA. Therefore, nonlinear response analysis for stiffened shell which consists of Mindlin plate and Timoshenko beam, was considered. Specially, it presents the backward-Euler method which is adopted to describe an exact yield state in the stress computation procedure. Then, design sensitivity analysis of nonlinear structures, particularly elasto-perfectly-plastic structure, is developed using direct differentiation method. The accuracy of the developed sensitivity analysis was compared with the central finite difference method. Finally, on the basis of above results, design improvement for stiffened shell is suggested.

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RF-MEMS 스위치용 마이크로 외팔보의 감쇠특성 (Damping Characteristics of a Microcantilever for Radio Frequency-microelectromechanical Switches)

  • 이진우
    • 한국소음진동공학회논문집
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    • 제21권6호
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    • pp.553-561
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    • 2011
  • A theoretical approach is carried out to predict the quality factors of flexible modes of a microcantilever on a squeeze-film. The frequency response function of an inertially-excited microcantilever beam is derived using an Euler-Bernoulli beam theory. The external force due to squeeze-film phenomenon is developed from the Reynolds equation. Slip boundary conditions are employed at the interfaces between the fluid and the structure to consider the gas rarefaction effect, and pressure boundary condition at both ends of fluid analysis region is enhanced to increase the exactness of predicted quality factors. To the end, an approximate equation is derived for the first bending mode of the microcantilever. Using the approximate equation, the quality factors of the second and third bending modes are calculated and compared with experimental results of previously reported work. The comparison shows the feasibility of the current approach.

점성 및 비점성 유동장 해석을 위한 BGK 수치기법의 효율적 계산 (Efficient Calculation of Gas-kinetic BGK scheme for Analysis of Inviscid and Viscous Flows)

  • 채동석;김종암;노오현
    • 한국전산유체공학회지
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    • 제3권2호
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    • pp.65-72
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    • 1998
  • From the Boltzmann equation with BGK approximation, a gas-kinetic BGK scheme is developed and methods for its efficient calculation, using the convergence acceleration techniques, are presented in a framework of an implicit time integration. The characteristics of the original gas-kinetic BGK scheme are improved in order for the accurate calculation of viscous and heat convection problems by considering Osher's linear subpath solutions and Prandtl number correction. Present scheme applied to various numerical tests reveals a high level of accuracy and robustness and shows advantages over flux vector splittings and Riemann solver approaches from Euler equations.

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오일러 방정식 및 저차모델링 기법을 활용한 천음속 플러터 해석 (Transonic Flutter Analysis Using Euler Equation and Reduced order Modeling Technique)

  • 김동현;김요한;김명환;류경중;황미현
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2011년도 춘계학술대회 논문집
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    • pp.339-344
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    • 2011
  • In the past much effort has been made to utilize advanced computational fluid dynamic (CFD) programs for aeroelastic simulations and analysis. However, it is limited in the field of unsteady aeroelasticity due to enormous size of computer memory and unreasonably long CPU time. Recently, AAEMS(Aerodynamics is Aeroelasticity minus Structure) was developed for linear time-invariant, coupled fluid-structure systems. In this paper, to demonstrate further the efficiency and accuracy of the new model reduction method, we successfully examine AGARD 445.6 wing modeled by FLUENT CFD, FSIPRO3D and NASTRAN FEM(Finite Element Method) programs. Using the ROM(Reduced Order Modeling) one can predict flutter boundary as a function of the dynamic pressure.

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정상 상태 내부 유동이 있는 양단 고정 곡선 파이프의 비선형 진동 특성 (Nonlinear Vibration Characteristics of a Curved Pipe with Fixed Ends and Steady Internal Flow)

  • 이수일;정진태
    • 대한기계학회논문집A
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    • 제26권1호
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    • pp.61-66
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    • 2002
  • The nonlinear differential equations of motion of a fluid conveying curved pipe are derived by use of Hamiltonian approach. The extensible dynamics of curled pipe is based on the Euler-Bernoulli beam theory. Some significant differences between linear and nonlinear equations and the dynamic characteristics are discussed. Generally, it can be shown that the natural frequencies in curved pipes are changed with flow velocity. Linearized natural frequencies of nonlinear equations are slightly different from those of linear equations.

초음속 제트에 관한 수치해석 (Computational Study on Supersonic Jets)

  • 이준희;권용훈;신현동;김희동
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2003년도 제20회 춘계학술대회 논문집
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    • pp.41-44
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    • 2003
  • 현재까지 초음속 제트에 관한 많은 연구들이 수행되어져 왔지만, 초음속 제트의 3차원 구조에 관해서는 상세히 알려져 있지 않다. 본 연구에서는 수치해석을 통하여 초음속 제트의 3차원 구조를 상세히 연구한다. 수치계산에서는 TVD법을 비정상, 3차원, 압축성 오일러 방정식에 적용하였으며, 얻어진 수치해석 결과를 이용하여, 초음속 제트의 유동장을 가시화 하였다. 본 수치해석 결과로부터 초음속 제트의 3차원 구조는 2차원적 구조와 매우 다르며, 압력비에 크게 의존한다는 것을 알았다.

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