### 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 language | English (US) |
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Pages (from-to) | 379-384 |

Number of pages | 6 |

Journal | Computational Geosciences |

Volume | 15 |

Issue number | 3 |

DOIs | |

State | Published - Jun 2011 |

### Fingerprint

### 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

*Computational Geosciences*,

*15*(3), 379-384. https://doi.org/10.1007/s10596-010-9208-0

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

Research output: Contribution to journal › Article

*Computational Geosciences*, vol. 15, no. 3, pp. 379-384. https://doi.org/10.1007/s10596-010-9208-0

}

TY - JOUR

T1 - Effects of molecular mass on the diffusion coefficient in a multiphase lattice Boltzmann model

AU - Liu, Elizabeth B.

AU - Hilpert, Markus

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

UR - http://www.scopus.com/inward/record.url?scp=79957871522&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79957871522&partnerID=8YFLogxK

U2 - 10.1007/s10596-010-9208-0

DO - 10.1007/s10596-010-9208-0

M3 - Article

AN - SCOPUS:79957871522

VL - 15

SP - 379

EP - 384

JO - Computational Geosciences

JF - Computational Geosciences

SN - 1420-0597

IS - 3

ER -