Result: Finite Boltzmann schemes

Title:
Finite Boltzmann schemes
Authors:
VAN DER SMAN, R. G. M
Source:
Proceedings of the First International Conference for Mesoscopic Methods in Engineering and Science (ICMMES), Braunschweig, Germany, July 25-30, 2004Computers & fluids. 35(8-9):849-854
Publisher Information:
Oxford: Elsevier Science, 2006.
Publication Year:
2006
Physical Description:
print, 14 ref
Original Material:
INIST-CNRS
Subject Terms:
Mechanics acoustics, Mécanique et acoustique, Sciences exactes et technologie, Exact sciences and technology, Physique, Physics, Domaines classiques de la physique (y compris les applications), Fundamental areas of phenomenology (including applications), Mécanique des fluides, Fluid dynamics, Méthodes de calcul en mécanique des fluides, Computational methods in fluid dynamics, Convection naturelle, Natural convection, Ecoulement cavité, Cavity flow, Flujo cavidad, Equation Boltzmann, Boltzmann equation, Equation convection diffusion, Convection diffusion equation, Ecuación convección difusión, Modèle réticulaire, Lattice model, Modelo reticular, Modélisation, Modelling, Mécanique fluide numérique, Computational fluid dynamics, Méthode différence finie, Finite difference method, Simulation numérique, Digital simulation, Système mésoscopique, Mesoscopic systems, Transfert chaleur, Heat transfer
Document Type:
Conference Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Agrotechnology and Food Sciences, Wageningen University, Agrotechnological Research Institute (ATO), P.O. Box 17, 6700 Wageningen, Netherlands
ISSN:
0045-7930
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=17868478
Rights:
Copyright 2006 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Physics: fluid mechanics
Accession Number:
edscal.17868478
Database:
PASCAL Archive

Further Information

In the special case of relaxation parameter ω = 1 lattice Boltzmann schemes for (convection) diffusion and fluid flow are equivalent to finite difference/volume (FD) schemes, and are thus coined finite Boltzmann (FB) schemes. We show that the equivalence is inherent to the homology of the Maxwell-Boltzmann constraints for the equilibrium distribution, and the constraints for finite difference stencils as derived from Taylor series expansion. For convection-diffusion we analyse the equivalence between FB and the Lax-Wendroff FD scheme in detail. It follows that the Lax-Wendroff procedure is performed automatically in the finite Boltzmann schemes via the imposed Maxwell-Boltzmann constraints. Furthermore, we make some remarks on FB schemes for fluid flows, and show that an earlier related study can be extended to rectangular grids. Finally, our findings are briefly checked with simulations of natural convection in a differentially heated square cavity.