• 제목/요약/키워드: Finite Difference Lattice Boltzmann Method

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나노 세공을 통한 비드 체인의 전기영동에 관한 수치해석적 연구 (NUMERICAL STUDY ON ELECTROPHORETIC MOTION OF A BIO-POLYMER THROUGH A NANO-PORE)

  • 알라파티 수레수;서용권
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2010년 춘계학술대회논문집
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    • pp.575-580
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    • 2010
  • In this work, the electrophoretic motion of dsDNA molecule represented by a polymer through an artificial nano-pore in a membrane is simulated using the numerical method combining the lattice Boltzmann and Langevin molecular dynamic method. The polymer motion is represented by Langevin molecular dynamics technique while the fluid flow is taken into account by fluctuating lattice-Boltzmann method. The hydrodynamic interactions between the polymer and solvent in a confined space with a membrane having a hole are considered explicitly through the frictional and the random forces. The electric field intensity over the space is obtained from a finite difference method. Initially, the polymer is placed at one side of the space, and an electric field is applied to drive the polymer to the other side of the space through the nano-pore. In future, we plan to study the effect of the polymer size and the electric field on the electrophoretic velocity.

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조정 가능한 비열비를 갖는 FDLBM에 의한 자려발생 음의 시뮬레이션 (Self-Sustained Tone Simulations using the Finite Difference Lattice Boltzmann Method with Flexible Specific Heat Ratio)

  • 오세경;안수환;김정환;강호근
    • 동력기계공학회지
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    • 제11권1호
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    • pp.82-91
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    • 2007
  • 기존의 2차원 FDLB 모델(D2Q21)에서 비열비 ${\gamma}$는 공간의 차원수(D)에 의존한다. 즉, 2차원 공간의 계산에서는 ${\gamma}=(D+2)/D=2.0$밖에 취할 수 없으며, 공기와 같은 실체기체를 전산모사 하기에는 여러 어려움이 있다. 이러한 이유 때문에 문헌[1]의 LBM에서 제안된 조정 가능한 비열비 모델을 2차원 FDLB모델에 적용하여 자려발생 에지톤(edgetone)의 수치계산이 수행되었다. wedge의 선단각도가 ${\alpha}=23^{\circ}$(Case I) 및 $20^{\circ}$(Case II)를 갖는 2가지 모델이 설정되었으며, 노즐출구에서 wedge선단까지의 거리 w/d는 $3d{\sim}12d$사이에서 주어졌다. edgetone은 노즐로부터 나온 분류와 edge의 상호작용으로 이난 음압(sound pressure)의 차에 의해서 소음이 발생하며, 이 음압은 다시 상류의 분류에 영향을 미쳐 분류의 변동을 가져온다. w/d가 ??9d이하인 경우, 피드백(feedback) 메커니즘에 기인한 주기적인 운동이 발생하지만, w/d가 큰 ??9d이상인 경우에는 분류의 불안정성 때문에 규칙적인 분류의 운동은 보이질 않으며, 이는 기존의 연구결과들과 잘 일치함을 보였다. 본 연구에서 적용된 모델을 이용하여 공기와 같은 2원자 기체의 비열비 ??${\gamma}=1.4$를 갖는 유체에 있어서 공력 소음의 수치예측이 가능하다는 것을 확인하였다.

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2차원 원주로부터 발생하는 Aeolian tone의 수치계산 (Numerical Simulation of the Aeolian Tone Generated from Two-dimensional Circular Cylinder)

  • 강호근;노기덕;손영태
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2002년도 추계학술대회 논문집
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    • pp.234-239
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    • 2002
  • Acoustic sounds generated by a uniform flow around a two-dimensional circular cylinder at Re=200 are simulated using finite difference lattice Boltzmann method. A third-order-accurate up-wind scheme is used for spartial derivatives, and a second-order-accurate Runge-Kutta scheme is used for time marching. The results show that in capturing very small acoustic pressure fluctuation with same frequency of Karman vortex street compared with the pressure fluctuation around a circular cylinder. The propagation velocity of acoustic sound is presented that acoustic which approaches tire upstream due to Doppler effect in the uniform flow slowly propagates, while that for the downstream quickly propagates. It is also apparent that the size of sound pressure is proportional for central distance $r^{-1/2}$ of the cylinder.

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Numerical Prediction of Acoustic Sounds Occurring by the Flow Around a Circular Cylinder

  • Kang, Ho-Keun;Ro, Ki-Deok;Michihisa Tsutahara;Lee, Young-Ho
    • Journal of Mechanical Science and Technology
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    • 제17권8호
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    • pp.1219-1225
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    • 2003
  • Acoustic sounds generated by uniform flow around a two-dimensional circular cylinder at Re=150 are simulated by applying the finite difference lattice Boltzmann method. A third-order-accurate up-wind scheme is used for the spatial derivatives. A second-order-accurate Runge-Kutta scheme is also used for time marching. Very small acoustic pressure fluctuation, with same frequency as that of Karman vortex street, is compared with pressure fluctuation around a circular cylinder. The propagation velocity of acoustic sound shows that acoustic approaching the upstream, due to the Doppler effect in uniform flow, slowly propagates. For the downstream, on the other hand, it quickly propagates. It is also apparent that the size of sound pressure is proportional to the central distance ${\gamma}$$\^$-1/2/ of the circular cylinder.

Vortex-Edge의 상호작용에 기인한 유동소음의 전산해석 (Numerical Analysis of Flow-Induced Noise by Vortex-Edge Interaction)

  • 강호근;김은라
    • 한국해양공학회지
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    • 제18권5호
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    • pp.15-21
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    • 2004
  • An edge tone is the discrete tone or narrow-band sound produced by an oscillating free shear layer, impinging on a rigid surface. In this paper, we present a 2-D edge tone to predict the frequency characteristics of the discrete oscillations of a jet-edge feedback cycle, using the finite difference lattice Boltzmann method (FDLBM). We use a modified version of the lattice BGK compressible fluid model, adding an additional term and allowing for longer time increments, compared to a conventional FDLBM, and also use a boundary fitted coordinates system. The jet is chosen long enough in order to guarantee the parabolic velocity profile of the jet at the outlet, and the edge consists of a wedge with an angle of ${\alpha}$ = 23. At a stand-off distance, the edge is inserted along the centerline of the jet, and a sinuous instability wave, with real frequency, is assumed to be created in the vicinity of the nozzle and propagates towards the downstream. We have succeeded in capturing very small pressure fluctuations, resulting from periodical oscillations of a jet around the edge. The pressure fluctuations propagate with the speed of sound. Its interaction with the wedge produces an non-rotational feedback field, which, near the nozzle exit, is a periodic transverse flow, producing the singularities at the nozzle lips.

Vortex-Edge 의 상호작용에 의한 유동소음의 수치계산 (Numerical Investigation of Aerodynamic Sounds by Vortex-Edge Interaction)

  • 강호근;김정환;김유택;이영호
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 춘계학술대회
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    • pp.1915-1920
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    • 2004
  • An edge tone is the discrete tone or narrow-band sound produced by an oscillating free shear layer impinging on a rigid surface. In this paper we present a two-dimensional edge tone to predict the frequency characteristics of the discrete oscillations of a jet-edge feedback cycle by the finite difference lattice Boltzmann method. We use a new lattice BGK compressible fluid model that has an additional term and allow larger time increment comparing a conventional FDLB model, and also use a boundary fitted coordinates. The jet is chosen long enough in order to guarantee the parabolic velocity profile of the jet at the outlet, and the edge consists of a wedge with an angle of ${\alpha}=23^{\circ}$ . At a stand-off distance ${\omega}$ , the edge is inserted along the centreline of the jet, and a sinuous instability wave with real frequency f is assumed to be created in the vicinity of the nozzle and to propagate towards the downstream. We have succeeded in capturing very small pressure fluctuations result from periodically oscillation of jet around the edge. That pressure fluctuations propagate with the sound speed. Its interaction with the wedge produces an irrotational feedback field which, near the nozzle exit, is a periodic transverse flow producing the singularities at the nozzle lips.

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종횡비에 따른 공동형상 내부에서의 혼합특성에 관한 수치적 연구 (Numerical Investigation of Mixing Characteristics in Cavity Flow at Various Aspect Ratios)

  • 신명섭;양승덕;윤준용
    • 대한기계학회논문집B
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    • 제39권1호
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    • pp.79-88
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    • 2015
  • 본 연구에서는 유한차분법(FDM)을 적용한 혼성 격자볼츠만 방법(HLBM)을 이용하여 직사각 형태를 갖는 공동형상 내 혼합특성에 대하여 수치적으로 연구하였다. 유동장은 다중 완화시간을 적용한 격자볼츠만 방법(LB-MRT)을 사용하였으며, 농도장은 두 물질의 질량은 같고 두 물질 사이의 상호작용이 없다고 가정한 Passive Scalar 방법을 사용하였다. 먼저, 정사각형과 종횡비가 2인 직사각형의 공동형상 내 유동해석 결과를 기존의 신뢰성 있는 연구결과와 비교하여 HLBM의 신뢰성을 검토하였다. 이를 토대로 다양한 종횡비를 갖는 공동형상에서 Pe수를 변화시키며 공동형상 내부에서의 혼합특성과 물질전달 형태에 대하여 파악하였다.

ALE모델을 갖는 차분격자볼츠만법에 의한 이동물체 주위의 유동장 및 유동소음의 직접계산 (Direct Simulation of Flows and Flow Noise around Moving Body by FDLBM with ALE Model)

  • 강호근;;김명호;김유택;이영호
    • 한국마린엔지니어링학회:학술대회논문집
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    • 한국마린엔지니어링학회 2005년도 후기학술대회논문집
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    • pp.248-249
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    • 2005
  • In this paper, flowfield and acoustic-field around moving bodies are simulated by the Arbitrary Lagrangian Eulerian (ALE) formulation in FDLBM. The effect of the ALE is checked by comparing flow about a square cylinder in ALE formulation and that in the fixed coordinates, and the results show good agreement. Matching procedure between the moving grid and fixed grid is also considered. The applied method in which the both grids are connected through buffer zone is shown to be superior to moving overlapped grid. Dipole-like emissions of sound wave from harmonically vibrating bodies in 2- and 3-dimensional cases are simulated.

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차분격자볼츠만법을 이용한 압축성성층유체의 수치계산 (Simulation of Compressible Stratified Flow tty the Finite Difference Lattice Boltzmann Method)

  • 강호근;쯔타하라 미시히사;김정환;이영호
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2001년도 춘계 학술대회논문집
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    • pp.85-92
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    • 2001
  • 중력이 작용하는 압축성유체를 고려함에 있어, 밀도성층 뿐만 아니라 엔트로피 성층의 고려도 중요하다. 본 연구에서 압축성격자볼츠만 유체모델을 이용한 차분계산법을 이용하여 2차원 채널에서 성층류의 전형적인 형상인 선택취수현상을 시뮬레이션 하였으며, 본 모델의 유효성을 확인하였다. 또한 비점성, 비압축성유체의 선택취수흐름과의 차이에 관해서 압축성의 관점에서 고찰하였다.

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