Skip to main content
Article thumbnail
Location of Repository

Matrix lattice Boltzmann reloaded

By I.V. Karlin, P. Asinari and S. Succi

Abstract

The lattice Boltzmann equation has been introduced about twenty years ago as a new paradigm for computational fluid dynamics. In this paper, we revisit the main formulation of the lattice Boltzmann collision integral (matrix model) and introduce a new two-parametric family of collision operators which permits to combine enhanced stability and accuracy of matrix models with the outstanding simplicity of the most popular single-relaxation time schemes. The option of the revised lattice Boltzmann equation is demonstrated through numerical simulations of a three-dimensional lid driven cavity

Topics: QC
Year: 2011
OAI identifier: oai:eprints.soton.ac.uk:173275
Provided by: e-Prints Soton

Suggested articles

Citations

  1. (2007). A general multiple-relaxation-time Boltzmann collision model. doi
  2. (2001). Bulk and shear viscosities in lattice Boltzmann equations. doi
  3. (2006). Cascaded digital lattice Boltzmann automata for high Reynolds number flow. doi
  4. (2005). Equilibrium-type and link-type lattice Boltzmann models for generic advection and anisotropic-dispersion equation. doi
  5. (1994). General approach to constructing models of the Boltzmann equation. doi
  6. (1992). Generalized lattice Boltzmann equations. In Rarefied gas dynamics: theory and simulations, doi
  7. (2009). Generalized Maxwell state and H theorem for computing fluid flows using the lattice Boltzmann method. doi
  8. (1992). Lattice BGK models for Navier–Stokes equation. doi
  9. (1989). Lattice gas dynamics with enhanced collisions. doi
  10. (2010). Lattice–Boltzmann method for complex flows. doi
  11. (2002). Multiplerelaxation-time lattice Boltzmann models in three dimensions. doi
  12. (1999). Perfect entropy functions of the lattice Boltzmann method. doi
  13. (2010). Quasiequilibrium lattice Boltzmann models with tunable bulk viscosity for enhancing stability. doi
  14. (1992). Recovery of the Navier–Stokes equation using a lattice gas Boltzmann method. doi
  15. (1992). The lattice Boltzmann-equation-theory and applications. doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.