A Lattice-Boltzmann Model for Visco-Elasticity

Laurent Giraud (), Dominique d'HumièRes () and Pierre Lallemand ()
Additional contact information
Laurent Giraud: Laboratoire C.N.R.S.–A.S.C.I., Bât.506, 91405 Orsay Cedex, France;
Dominique d'HumièRes: Laboratoire C.N.R.S.–A.S.C.I., Bât.506, 91405 Orsay Cedex, France;
Pierre Lallemand: Laboratoire C.N.R.S.–A.S.C.I., Bât.506, 91405 Orsay Cedex, France

International Journal of Modern Physics C (IJMPC), 1997, vol. 08, issue 04, 805-815

Abstract: The classical lattice-Boltzmann scheme is extended in an attempt to represent visco-elastic fluids in two dimensions. At each lattice site, two new quantities are added. A suitable coupling of these quantities with the viscous stress tensor leads to a nonzero shear modulus and visco-elastic effects. A Chapman–Enskog expansion gives us the equilibrium populations and conditions for isotropy of the model. A finite wave vector analysis is needed to study the relaxation of sound waves and to determine the dependence of the transport coefficients upon the frequency.

Keywords: Visco-Elasticity; Lattice-Boltzmann; Jeffreys Model (search for similar items in EconPapers)
Date: 1997
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183197000692
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:08:y:1997:i:04:n:s0129183197000692

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183197000692

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().