Effects of molecular mass on the diffusion coefficient in a multiphase lattice Boltzmann model

Elizabeth B. Liu, Markus Hilpert

Research output: Contribution to journalArticle

Abstract

We introduce a simplified expression for the diffusion coefficient (D) of a multicomponent Lattice Boltzmann model. For dilute solutions, this expression is reduced to have dependence only on the molecular mass and relaxation time of the solute. By altering the molecular mass, the value of D can be varied by several orders of magnitude, thus, providing an additional parameter for use in tuning LB model values to physical systems. The ability to adjust the values of molecular mass can also be used to decrease simulation times. This is advantageous as it allows application of the LB model to solve problems that previously required prohibitive computational resources. The capability to model a wide range of diffusion coefficients and decrease simulation times is illustrated in a simple case study.

Original languageEnglish (US)
Pages (from-to)379-384
Number of pages6
JournalComputational Geosciences
Volume15
Issue number3
DOIs
StatePublished - Jun 2011

Fingerprint

Lattice Boltzmann Model
Molecular mass
Diffusion Coefficient
Decrease
Relaxation Time
Tuning
Simulation
Model
Relaxation time
simulation
solute
Resources
Range of data
effect
resource

Keywords

  • Advection-Diffusion equation
  • Computational modeling and simulation
  • Diffusion coefficient
  • Diffusion in dilute solutions
  • Lattice Boltzmann method
  • Molecular mass

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Computer Science Applications
  • Computers in Earth Sciences
  • Computational Mathematics

Cite this

Effects of molecular mass on the diffusion coefficient in a multiphase lattice Boltzmann model. / Liu, Elizabeth B.; Hilpert, Markus.

In: Computational Geosciences, Vol. 15, No. 3, 06.2011, p. 379-384.

Research output: Contribution to journalArticle

Liu, Elizabeth B. ; Hilpert, Markus. / Effects of molecular mass on the diffusion coefficient in a multiphase lattice Boltzmann model. In: Computational Geosciences. 2011 ; Vol. 15, No. 3. pp. 379-384.
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