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Eulerian description of high-order bounce-back scheme for lattice Boltzmann equation with curved boundary

  • T. LeeEmail author
  • G. K. Leaf
Article

Abstract

We propose an Eulerian description of the bounce-back boundary condition based on the high-order implicit time-marching schemes to improve the accuracy of lattice Boltzmann simulation in the vicinity of curved boundary. The Eulerian description requires only one grid spacing between fluid nodes when second-order accuracy in time and space is desired, although high-order accurate boundary conditions can be constructed on more grid-point support. The Eulerian description also provides an analytical framework for several different interpolation-based boundary conditions. For instance, the semi-Lagrangian, linear interpolation boundary condition is found to be a first-order upwind discretization that changes the time-marching schemes from implicit to explicit as the distance between the fluid boundary node and the solid boundary increases.

Keywords

European Physical Journal Special Topic Boundary Node Solid Boundary Linear Scheme Particle Distribution Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. X. He, Q. Zou, L.-S. Luo, M. Dembo, J. Stat. Phys. 87, 115 (1997)Google Scholar
  2. M. Bouzidi, M. Firdaouss, P. Lallemand, Phys. Fluids 13, 3452 (2001)Google Scholar
  3. R. Mei, L.-S. Luo, W. Shyy, J. Comput. Phys. 155, 307 (1999)Google Scholar
  4. I. Ginzburg, D. d'Humières, Phys. Rev. E 68, 066614 (2003)Google Scholar
  5. M. Junk, Z. Yang, Phys. Rev. E 72, 066701 (2005)Google Scholar
  6. H. Chen, S. Chen, W.H. Matthaeus, Phys. Rev. A 45, 5339 (1992)Google Scholar
  7. T. Lee, P.F. Fischer, Phys. Rev. E 74, 046709 (2006)Google Scholar
  8. T. Lee, C.-L. Lin, J. Comput. Phys. 185, 445 (2003)Google Scholar
  9. P.M. Gresho, R.L. Sani, Incompressible Flow and the Finite Element Method (Wiley, 1998)Google Scholar

Copyright information

© EDP Sciences and Springer 2009

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringCity College of City University of New YorkNew YorkUSA
  2. 2.Mathematics and Computer Science DivisionArgonne National LaboratoryArgonneUSA

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