Direct assessment of lattice Boltzmann hydrodynamics and boundary conditions for recirculating flows

David R. Noble, John G Georgiadis, Richard O. Buckius

Research output: Contribution to journalArticlepeer-review

Abstract

A hydrodynamic boundary condition is developed for lattice Boltzmann hydrodynamics using a square, orthogonal grid. A constraint based on energy considerations is developed to provide closure for the equations which govern the particle distribution at the boundaries. This boundary condition is applied to the two-dimensional, steady flow of an incompressible fluid behind a grid, known as Kovasznay flow. The results are compared to those using alternate boundary conditions using the known exact solution. The hydrodynamic boundary condition produces quadratic spatial convergence, while alternate techniques fail to maintain this second-order accuracy.

Original languageEnglish (US)
Pages (from-to)17-33
Number of pages17
JournalJournal of Statistical Physics
Volume81
Issue number1-2
DOIs
StatePublished - Oct 1 1995

Keywords

  • boundary condition
  • Lattice Boltzmann

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

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