The European Physical Journal Special Topics

, Volume 171, Issue 1, pp 173–179 | Cite as

Bubble functions for the lattice Boltzmann method and their application to grid refinement

  • M. GeierEmail author
  • A. Greiner
  • J. G. Korvink


We present a new methodology of velocity field interpolation for the lattice Boltzmann method. The local information on spatial velocity gradients stored in the nodal momentum distribution function is exploited. We achieve quadratic interpolation order between neighboring nodes. Second-order bubble functions are derived from which the off-grid velocity field can be computed. A simple grid-refinement technique based on the bubble functions is introduced.


Navier Stokes Equation European Physical Journal Special Topic Neighboring Node Coarse Grid Lattice Boltzmann Method 
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© EDP Sciences and Springer 2009

Authors and Affiliations

  1. 1.Imtek – Department of Microsystems EngineeringLaboratory for Simulation, University of FreiburgFreiburgGermany

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