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Kwak, Sang Kyu
Kyu’s MolSim Lab @ UNIST
Research Interests
  • Molecular modeling and simulation, statistical thermodynamics, molecular physics

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Higher-order Galilean-invariant lattice Boltzmann model for microflows: Single-component gas

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Title
Higher-order Galilean-invariant lattice Boltzmann model for microflows: Single-component gas
Author
Yudistiawan, Wahyu PerdanaKwak, Sang KyuPatil, D. V.Ansumali, Santosh
Issue Date
2010-10
Publisher
AMER PHYSICAL SOC
Citation
PHYSICAL REVIEW E, v.82, no.4, pp.1 - 18
Abstract
We introduce a scheme which gives rise to additional degree of freedom for the same number of discrete velocities in the context of the lattice Boltzmann model. We show that an off-lattice D3Q27 model exists with correct equilibrium to recover Galilean-invariant form of Navier-Stokes equation (without any cubic error). In the first part of this work, we show that the present model can capture two important features of the microflow in a single component gas: Knudsen boundary layer and Knudsen Paradox. Finally, we present numerical results corresponding to Couette flow for two representative Knudsen numbers. We show that the off-lattice D3Q27 model exhibits better accuracy as compared to more widely used on-lattice D3Q19 or D3Q27 model. Finally, our construction of discrete velocity model shows that there is no contradiction between entropic construction and quadrature-based procedure for the construction of the lattice Boltzmann model.
URI
https://scholarworks.unist.ac.kr/handle/201301/6809
URL
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=78651315779
DOI
10.1103/PhysRevE.82.046701
ISSN
2470-0045
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ECHE_Journal Papers
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