DIFFUSIVITY OF TWO-COMPONENT ISOTHERMAL FINITE DIFFERENCE LATTICE BOLTZMANN MODELS

Victor Sofonea () and Robert F. Sekerka ()
Additional contact information
Victor Sofonea: Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA;
Robert F. Sekerka: Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 07, 1075-1090

Abstract: Diffusion equations are derived for an isothermal lattice Boltzmann model with two components. The first-order upwind finite difference scheme is used to solve the evolution equations for the distribution functions. When using this scheme, the numerical diffusivity, which is a spurious diffusivity in addition to the physical diffusivity, is proportional to the lattice spacing and significantly exceeds the physical value of the diffusivity if the number of lattice nodes per unit length is too small. Flux limiter schemes are introduced to overcome this problem. Empirical analysis of the results of flux limiter schemes shows that the numerical diffusivity is very small and depends quadratically on the lattice spacing.

Keywords: Lattice Boltzmann; diffusivity; finite difference schemes; flux limiters (search for similar items in EconPapers)
Date: 2005
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183105007741
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:16:y:2005:i:07:n:s0129183105007741

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183105007741

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 ().