TY - JOUR
T1 - Effects of molecular mass on the diffusion coefficient in a multiphase lattice Boltzmann model
AU - Liu, Elizabeth B.
AU - Hilpert, Markus
N1 - Funding Information:
Acknowledgements This work was funded by NSF Grant EAR-0335766 and by the United States Environmental Protection Agency (EPA) under the Science to Achieve Results (STAR) Graduate Fellowship Program. This paper has not been officially endorsed by EPA and the views expressed herein may not reflect the views of the EPA. We would also like to thank Navy DoD Supercomputing Resources Center for the use of super computing resources and Roland Glantz for stimulating discussions and suggestions.
PY - 2011/6
Y1 - 2011/6
N2 - 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.
AB - 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.
KW - Advection-Diffusion equation
KW - Computational modeling and simulation
KW - Diffusion coefficient
KW - Diffusion in dilute solutions
KW - Lattice Boltzmann method
KW - Molecular mass
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U2 - 10.1007/s10596-010-9208-0
DO - 10.1007/s10596-010-9208-0
M3 - Article
AN - SCOPUS:79957871522
SN - 1420-0597
VL - 15
SP - 379
EP - 384
JO - Computational Geosciences
JF - Computational Geosciences
IS - 3
ER -