• Title/Summary/Keyword: fractional scheme

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The Effects of Nonequilibrium Condensation on Shock/Boundary Layer Interaction

  • Kim, Heuy-Dong;Lee, Kwon-Hee;Toshiaki. Setoguchi
    • Journal of Mechanical Science and Technology
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    • v.15 no.6
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    • pp.788-795
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    • 2001
  • The effects of nonequilibrium condensation on the shock boundary layer interaction over a transonic bump model were investigated experimentally and numerically. An experiment was conducted using a supersonic indraft wind tunnel. A droplet growth equation was incorporated into two-dimensional Navier-Stokes equation systems. Computations were carried out using a third-order MUSCL type TVD finite-difference scheme with a second-order fractional time step. Computation compared with the experimental results. Nonequilibirum condensation suppressed the boundary layer separation and the pressure fluctuations due to the shock boundary layer interaction. Especially the nonequilbrium condensation was helpful to suppress the high frequency components of the pressure fluctuations.

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IMPLEMENTATION OF IMMERSED BOUNDARY METHOD TO INCOMPRESSIBLE NAVIER-STOKES SOLVER USING SIMPLE ALGORITHM (SIMPLE Algorithm기반의 비압축성 Navier-Stokes Solver와 Immersed Boundary Method)

  • Kim, G.H.;Park, S.O.
    • 한국전산유체공학회:학술대회논문집
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    • 2010.05a
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    • pp.397-403
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    • 2010
  • The Immersed boundary method(IBM) is one of CFD techniques which can simulate flow field around complex objectives using simple Cartesian grid system. In the previous studies the IBM has mostly been implemented to fractional step method based Navier-Stokes solvers. In these cases, pressure buildup near IB was found to occur when linear interpolation and stadard mass conservation is used and the interpolation scheme became complicated when higher order of interpolation is adopted. In this study, we implement the IBM to an incompressible Navier-Stokes solver which uses SIMPLE algorithm. Bi-linear and quadratic interpolation equations were formulated by using only geometric information of boundary to reconstruct velocities near IB. Flow around 2D circular cylinder at Re=40 and 100 was solved by using these formulations. It was found that the pressure buildup was not observed even when the bi-linear interpolation was adopted. The use of quadratic interpolation made the predicted aerodynamic forces in good agreement with those of previous studies.

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The Effect of Nonequilibrium Condensation on Shock/Boundary Layer Interaction (비평형응축이 충격파와 경계층의 간섭에 미치는 영향)

  • Kim, H.D.;Lee, K.H.;Setoguchi, T.
    • Proceedings of the KSME Conference
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    • 2000.11b
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    • pp.544-549
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    • 2000
  • The effects of nonequilibrium condensation on the shock boundary layer interaction over a transonic bump model were investigated experimentally and numerically. An experiment was conducted using a supersonic indraft wind tunnel. A droplet growth equation was incorporated into two-dimensional Navier-Stokes equation systems. Computations were carried out using a third-order MUSCL type TVD finite-difference scheme with a second-order fractional time step. Computations compared with the experimental results. Nonequilibirum condensation suppressed the boundary layer separation and the pressure fluctuations due to the shock boundary layer interaction. Especially the nonequilibrium condensation was helpful to suppress the high frequency components of the pressure fluctuations.

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A method for incompressible free surface flow including surface tension using CSF model (CSF 모델을 이용한 자유표면 유동 해석)

  • Hong I. C.;Baek J. H.
    • 한국전산유체공학회:학술대회논문집
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    • 2004.10a
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    • pp.15-18
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    • 2004
  • A numerical method for simulating two-phase flows including surface force is presented. The method is based on fractional step method of finite volume formulation and the interface is tracked with PLIC VOF method. In the CSF model, as color function, f, representing the location of interface varies steeply in the interface region, we need to use smoothed function f to get accurate unit normal and the curvature. Peskin kernel is used to get smoothed function f. A spherical drop in static equilibrium and three-dimensional merging of gas bubble are tested, resulting in the validation of this method

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Active Noise Transmission Control Through a Panel Structure Using a Frequency Domain Identification Method (주파수 영역 모델 방법을 이용한 평판 구조물의 능동 소음전달 제어)

  • Kim, Yeung-Shik;Kim, In-Soo;Moon, Chan-Young
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.9
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    • pp.71-81
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    • 2001
  • This paper analyzes the effectiveness of minimizing vibration and sound transmission on/through a thin rectangular plate by both feedback control and hybrid control which combines adaptive feedforward control with a feedback loop. An experimental system identification technique using the matrix-fractional curve-fitting of the frequency response data is introduced for complex shaped structures. This identification technique reduces the model order o the MIMO(Multi-Input Multi-Output) system which simplifies the practical implementation. The adaptive feedforward control uses a Multiple filtered-x LMS(Least Mean Square) algorithm and the feedback control uses a multivariable digital LQG(Linear Quadratic Gaussian) algorithm. Experimental results show that an effective reduction of sound transmission is achieved by the hybrid control scheme when both vibration and noise measurement signals are incorporated in the controller.

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An ALE Finite Element Method for Baffled Fuel Container in Yawing Motion

  • Cho, Jin-Rae;Lee, Hong-Woo;Yoo, Wan-Suk;Kim, Min-Jeong
    • Journal of Mechanical Science and Technology
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    • v.18 no.3
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    • pp.460-470
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    • 2004
  • A computational analysis of engineering problems with moving domain or/and boundary according to either Lagrangian or Eulerian approach may encounter inherent numerical difficulties, the extreme mesh distortion in the former and the material boundary indistinctness in the latter. In order to overcome such defects in classical numerical approaches, the ALE(arbitrary Lagrangian Eulerian) method is widely being adopted in which the finite element mesh moves with arbitrary velocity. This paper is concerned with the ALE finite element formulation, aiming at the dynamic response analysis of baffled fuel-storage container in yawing motion, for which the coupled time integration scheme, the remeshing and smoothing algorithm and the mesh velocity determination are addressed. Numerical simulation illustrating theoretical works is also presented.

An implicit decoupling method for unsteady RANS computation (비정상 RAMS 계산을 위한 내재적 분리 방법)

  • Rhee, Gwang-Hoon;Sung, Hyung-Jin
    • Proceedings of the KSME Conference
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    • 2000.04b
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    • pp.704-708
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    • 2000
  • A new efficient numerical method for computing unsteady, incompressible flows, DRANS (Decoupled Reynolds-Averaged Navier-Stokes), is presented. To eliminate the restriction of CFL condition, a fully-implicit time advancement in which the Crank-Nicolson method is used fer both the diffusion and convection terms. is adopted. Based on decomposition method, the velocity-turbulent quantity decoupling is achieved. The additional decoupling of the intermediate velocity components in the convection term is made for the fully-implicit time advancement scheme. Since the iterative procedures for the momentum, ${\kappa}\;and\;{\varepsilon}$ equations are not required, the components decouplings bring fourth the reduction of computational cost. The second-order accuracy in time of the present numerical algorithm is ascertained by computing decaying vortices. The present decoupling method is applied to turbulent boundary layer with local forcing.

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Direct Numerical Simulation of Flow Characteristics of the Fluid Laden with Many Particles (입자가 포함된 유체의 유동특성에 대한 직접수치해석)

  • Cho, Sang-Ho;Choi, Hyoung-Gwon;Yoo, Jung-Yul
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.9
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    • pp.1327-1334
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    • 2003
  • Flow characteristics of the fluid laden with many particles in the two-dimensional channel are investigated using the Navier-Stokes equations coupled with the equation of motion of particles by direct numerical simulation. A four-step fractional step method with Crank-Nicolson scheme and ALE technique is used for P2P1 mixed finite element method. The motion and distribution of particles in the fluid is virtually described as a result of direct numerical simulation and the increase of viscosity is compared with theoretical equations. The effect of channel height on the relative viscosity and the tubular pinch effect are discussed.

Development of a Solver for 3-D Flows with Free Surface using the Finite Volume Method on Unstructured Grids (비정렬 격자 유한체적법을 이용한 삼차원 자유표면 유동 해석 코드의 개발)

  • Yim, Joong-Hyuck;Baek, Je-Hyun
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.910-915
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    • 2003
  • A Navier-Stokes equation solver for incompressible viscous flows with free surface is developed and tested. This is based upon a fractional time step method and a non-staggered finite volume formulation for unstructured meshes. For time advancement scheme, Adams -Bashforth method for convective term and Crank-Nicolson method for diffusive term are applied. The interface between two fluids with different fluid properties is tracked with Piecewise Linear Interface Calculation(PLIC) Volume-of-Fluid(VOF) methods. Computational results are presented for some test problems: the broken dam, the sloshing in a rectangular tank, the filling of a cylindrical tank.

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A robust frequency offset estimation scheme for an OFDM system (OFDM 수신기를 위한 강인한 주파수 옵셋 보정 기법)

  • Wui, Jung-Hwa;Hwang, Hu-Mor;Song, Jin-Ho
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.3100-3102
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    • 2000
  • In this paper, we propose to a robust frequency offset estimation method of OFDM signals. A carrier frequency offset may be decomposed into an integer multiple of the subcarrier spacing and a residual frequency offset. Fractional part of frequency offset is obtained by using the maximum likelihood estimation(MLE) method. And we use the correlation of the samples at the output of the discrete Fourier transform(DFT) to estimate integer part of frequency offset. The result shows that the estimation frequency offset is almost linear to frequency offset. We propose to an improved estimation error variance of the carrier frequency offset estimation. The proposed estimator has better performance than the conventional ones in terms of error variance and tracking range.

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