• Title/Summary/Keyword: lattice method

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Study of Mass and Flow Resistance in a Square Ribbed Microchannel using Lattice Boltzmann Method

  • Taher, Mohammad Abu;Kim, Heuy-Dong;Lee, Yeon-Won
    • Journal of Power System Engineering
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    • v.18 no.6
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    • pp.207-214
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    • 2014
  • Mass and flow resistance in a square ribbed microchannel have been studied numerically using the Lattice Boltzmann Method. It has been build up on two dimensional nine velocity vectors model with single relaxation time method called the Lattice Bhatnagor-Gross-Krook model. To analyze the roughness effect on the flow resistance namely the friction factor and mass flow has been discussed at the slip flow regime, $0.01{\leq}Kn{\leq}0.10$, where Kn is the Knudsen number. The wall roughness is considered by square microelements with a relative roughness height up to maximum 10% of channel height. The velocity profiles in terms of streamlines near the riblets are demonstrated to be responsible for the roughness effect. It is found that the roughness effect leads to increase the flow resistance with roughness height but it is decreased significantly with increasing the space between two roughness elements as well as the Knudsen number. In addition, the mass flow decreased linearly with increasing both roughness height and gap but significantly changed at the slip flow regime.

On Implementation of the Finite Difference Lattice Boltzmann Method with Internal Degree of Freedom to Edgetone

  • Kang, Ho-Keun;Kim, Eun-Ra
    • Journal of Mechanical Science and Technology
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    • v.19 no.11
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    • pp.2032-2039
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    • 2005
  • The lattice Boltzman method (LBM) and the finite difference-based lattice Boltzmann method (FDLBM) are quite recent approaches for simulating fluid flow, which have been proven as valid and efficient tools in a variety of complex flow problems. They are considered attractive alternatives to conventional finite-difference schemes because they recover the Navier-Stokes equations and are computationally more stable, and easily parallelizable. However, most models of the LBM or FDLBM are for incompressible fluids because of the simplicity of the structure of the model. Although some models for compressible thermal fluids have been introduced, these models are for monatomic gases, and suffer from the instability in calculations. A lattice BGK model based on a finite difference scheme with an internal degree of freedom is employed and it is shown that a diatomic gas such as air is successfully simulated. In this research we present a 2-dimensional edge tone to predict the frequency characteristics of discrete oscillations of a jet-edge feedback cycle by the FDLBM in which any specific heat ratio $\gamma$ can be chosen freely. The jet is chosen long enough in order to guarantee the parabolic velocity profile of a jet at the outlet, and the edge is of an angle of $\alpha$=23$^{o}$. At a stand-off distance w, 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 exit and to propagate towards the downstream. We have succeeded in capturing very small pressure fluctuations resulting from periodic oscillation of the jet around the edge.

A Note on Computing the Crisp Order Context of a Fuzzy Formal Context for Knowledge Reduction

  • Singh, Prem Kumar;Kumar, Ch. Aswani
    • Journal of Information Processing Systems
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    • v.11 no.2
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    • pp.184-204
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    • 2015
  • Fuzzy Formal Concept Analysis (FCA) is a mathematical tool for the effective representation of imprecise and vague knowledge. However, with a large number of formal concepts from a fuzzy context, the task of knowledge representation becomes complex. Hence, knowledge reduction is an important issue in FCA with a fuzzy setting. The purpose of this current study is to address this issue by proposing a method that computes the corresponding crisp order for the fuzzy relation in a given fuzzy formal context. The obtained formal context using the proposed method provides a fewer number of concepts when compared to original fuzzy context. The resultant lattice structure is a reduced form of its corresponding fuzzy concept lattice and preserves the specialized and generalized concepts, as well as stability. This study also shows a step-by-step demonstration of the proposed method and its application.

NUMERICAL SIMULATION ON PHASE SEPARATION BY 2D LATTICE-BOLTZMANN METHOD (LBM을 이용한 2차원 상분리 시뮬레이션)

  • Jung, Rho-Taek
    • 한국전산유체공학회:학술대회논문집
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    • 2009.11a
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    • pp.109-114
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    • 2009
  • As one of the promising model on the multiphase fluid mixtures, the Lattice-Boltzmann Method(LBM) is being developed to simulate flows containing two immisible components which are different mass values. The equilibrium function in the LBM can have a nonideal gas model for the equation of state and use the interfacial energy for the phase separation effect. An example on the phase separation has been carried out through the time evolution. The LBM based on the statistic mechanics is appropriate to solve very complicated flow problems and this model gives comparative merits rather than the continuum mechanics model.

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Computations of Flows and Acoustic Wave Emitted from Moving Body by ALE Formulation in Finite Difference Lattice Boltzmann Model (차분격자볼츠만법에 ALE모델을 적용한 이동물체 주위의 흐름 및 유동소음의 수치모사)

  • KANG HO-KEUN
    • Journal of Ocean Engineering and Technology
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    • v.20 no.1 s.68
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    • pp.48-54
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    • 2006
  • In this paper, flowfield and acoustic-field around moving bodies are simulated by the Arbitrary Lagrangian Eulerian (ALE) formulation in the finite difference lattice Boltzmann method. Some effects are checked by comparing flaw about a square cylinder in ALE formulation and that in the fixed coordinates, and both agree very well. Matching procedure between the moving grid and fixed grid is also considered. The applied method in which the both grids are connected through buffer region is shown to be superior to moving overlapped grid. Dipole-like emissions of sound wave from harmonically vibrating bodies in two- and three-dimensional cases are simulated.

Optimization of Passive Mixer for Enhanced Mixing in a Micro-channel by Using Lattice Bloltzmann Method (격자 볼츠만 방법을 이용한 미소 채널에서의 혼합효율 증가를 위한 수동형 믹서의 최적화)

  • Han Gyu suk;Byun Sung Joon;Yoon Joon Yong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.5 s.236
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    • pp.707-715
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    • 2005
  • In this work, Scalar Passive code in Lattice Boltzmann Method is employed to simulate two-phase flow of low Reynolds number in a micro-channel. The mixing characteristics in a micro-channel is a function of Peclet number. The mixing length increases with the Peclet number. It is found that with the inclusion of static elements at the channel, rapid mixing of two liquids can be achieved, as shown by the results of computer simulations. The enhancement in mixing performance is thought to be caused by the generation of eddies and by lateral velocity component when the mixture flows past static elements. The results indicate that the size of static element has more effect on the mixing than the number of static element.

Proposal for Improvement in Prediction of Marine Propeller Performance Using Vortex Lattice Method (와류격자법에 의한 프로펠러 성능추정 향상을 위한 제안)

  • Suh, Sung-Bu
    • Journal of Ocean Engineering and Technology
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    • v.25 no.4
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    • pp.48-53
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    • 2011
  • Current trends in propeller design have led to the need for extremely complex blade shapes, which place great demands on the accuracy of design and analysis methods. This paper presents a new proposal for improving the prediction of propeller performance with a vortex lattice method using the lifting surface theory. The paper presents a review of the theory and a description of the numerical methods employed. For 8 different propellers, the open water characteristics are calculated and compared with experimental data. The results are in good agreement in the region of a high advanced velocity, but there are differences in the other case. We have corrected the parameters for the trailing wake modeling in this paper, and repeated the calculation. The new calculation results are more in agreement with the experimental data.

A Study on the Performance of the Wing In Ground Effect by a Vortex Lattice Method (와류 격자법에 의한 지면효과익의 성능 연구)

  • Jeong, Gwang-Hyo;Jang, Jong-Hui;Jeon, Ho-Hwan
    • Journal of Ocean Engineering and Technology
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    • v.12 no.2 s.28
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    • pp.87-96
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    • 1998
  • A numerical simulation was done to investigate the performance of thin wings in close vicinity to ground. The simulation is based on Vortex Lattice Method(VLM) and freely deforming wake elements are taken into account for a sudden acceleration case. The parameters covered in the simulation are angle of attack, aspect ratio, ground clearance, sweep angle and taper ratio. In addition, the effect of the wing endplate on the ground effect is included. The wing sections used for present computations are uncambered, cambered and S-types. The present computational results are compared with other published computational results and experimental data.

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Direct Numerical Simulation of the Nucleate Pool Boiling Using the Multiphase Lattice Boltzmann Method : Preliminary Study (다상 격자 볼츠만 방법을 이용한 수조 핵비등 직접 수치 모사: 예비 연구)

  • Ryu, Seung-Yeob;Ko, Sung-Ho
    • The KSFM Journal of Fluid Machinery
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    • v.14 no.6
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    • pp.45-53
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    • 2011
  • Multiphase lattice Boltzmann method (LBM) has been used to simulate the nucleate pool boiling directly. For the phase change model, the thermal model and the Stefan boundary condition were introduced to the isothermal LBM. The phase change model was validated by the bubble growth in a superheated liquid under no gravity. The bubble growth on and departure from a superheated wall has been simulated successfully. The preliminary results showed that the detail process of nucleate pool boiling was in good agreement with the experimental results.

Consideration of Long and Middle Range Interaction on the Calculation of Activities for Binary Polymer Solutions

  • Lee, Seung-Seok;Bae, Young-Chan;Sun, Yang-Kook;Kim, Jae-Jun
    • Macromolecular Research
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    • v.16 no.4
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    • pp.320-328
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    • 2008
  • We established a thermodynamic framework of group contribution method based on modified double lattice (MDL) model. The proposed model included the long-range interaction contribution caused by the Coulomb electrostatic forces, the middle-range interaction contribution from the indirect effects of the charge interactions and the short-range interaction from modified double lattice model. The group contribution method explained the combinatorial energy contribution responsible for the revised Flory-Huggins entropy of mixing, the van der Waals energy contribution from dispersion, the polar force, and the specific energy contribution from hydrogen bonding. We showed the solvent activities of various polymer solution systems in comparison with theoretical predictions based on experimental data. The proposed model gave a very good agreement with the experimental data.