### Abstract

In this paper, a new lattice Boltzmann model, called the artificial interface lattice Boltzmann model (AILB model), is proposed for the simulation of two-phase dynamics. The model is based on the principle of free energy minimization and invokes the Gibbs-Duhem equation in the formulation of non-ideal forcing function. Bulk regions of the two phases are governed by a non-ideal equation of state (for example, the van der Waals equation of state), whereas an artificial near-critical equation of state is applied in the interfacial region. The interfacial equation of state is described by a double well density dependence of the free energy. The continuity of chemical potential is enforced at the interface boundaries. Using the AILB model, large density and viscosity ratios of the two phases can be simulated. The model is able to quantitatively capture the coexistence curve for the van der Waals equation of state for different temperatures. Moreover, spatially varying viscosities can be simulated by choosing the relaxation time as a function of local density.

Original language | English (US) |
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Title of host publication | 2010 1st International Nuclear and Renewable Energy Conference, INREC'10 |

DOIs | |

State | Published - 2010 |

Event | 2010 1st International Nuclear and Renewable Energy 2010 1st International Nuclear and Renewable Energy Conference, INREC'10 - Amman, Jordan |

### Other

Other | 2010 1st International Nuclear and Renewable Energy 2010 1st International Nuclear and Renewable Energy Conference, INREC'10 |
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Country | Jordan |

City | Amman |

Period | 3/21/10 → 3/24/10 |

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### ASJC Scopus subject areas

- Nuclear Energy and Engineering
- Renewable Energy, Sustainability and the Environment

### Cite this

*2010 1st International Nuclear and Renewable Energy Conference, INREC'10*[5462603] DOI: 10.1109/INREC.2010.5462603

**Advances in lattice Boltzmann modeling (LBM) to simulate two-phase dynamics.** / Jain, Prashant K.; Rizwan-uddin.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*2010 1st International Nuclear and Renewable Energy Conference, INREC'10.*, 5462603, 2010 1st International Nuclear and Renewable Energy 2010 1st International Nuclear and Renewable Energy Conference, INREC'10, Amman, Jordan, 21-24 March. DOI: 10.1109/INREC.2010.5462603

}

TY - CHAP

T1 - Advances in lattice Boltzmann modeling (LBM) to simulate two-phase dynamics

AU - Jain,Prashant K.

AU - Rizwan-uddin,

PY - 2010

Y1 - 2010

N2 - In this paper, a new lattice Boltzmann model, called the artificial interface lattice Boltzmann model (AILB model), is proposed for the simulation of two-phase dynamics. The model is based on the principle of free energy minimization and invokes the Gibbs-Duhem equation in the formulation of non-ideal forcing function. Bulk regions of the two phases are governed by a non-ideal equation of state (for example, the van der Waals equation of state), whereas an artificial near-critical equation of state is applied in the interfacial region. The interfacial equation of state is described by a double well density dependence of the free energy. The continuity of chemical potential is enforced at the interface boundaries. Using the AILB model, large density and viscosity ratios of the two phases can be simulated. The model is able to quantitatively capture the coexistence curve for the van der Waals equation of state for different temperatures. Moreover, spatially varying viscosities can be simulated by choosing the relaxation time as a function of local density.

AB - In this paper, a new lattice Boltzmann model, called the artificial interface lattice Boltzmann model (AILB model), is proposed for the simulation of two-phase dynamics. The model is based on the principle of free energy minimization and invokes the Gibbs-Duhem equation in the formulation of non-ideal forcing function. Bulk regions of the two phases are governed by a non-ideal equation of state (for example, the van der Waals equation of state), whereas an artificial near-critical equation of state is applied in the interfacial region. The interfacial equation of state is described by a double well density dependence of the free energy. The continuity of chemical potential is enforced at the interface boundaries. Using the AILB model, large density and viscosity ratios of the two phases can be simulated. The model is able to quantitatively capture the coexistence curve for the van der Waals equation of state for different temperatures. Moreover, spatially varying viscosities can be simulated by choosing the relaxation time as a function of local density.

UR - http://www.scopus.com/inward/record.url?scp=77953237004&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77953237004&partnerID=8YFLogxK

U2 - 10.1109/INREC.2010.5462603

DO - 10.1109/INREC.2010.5462603

M3 - Conference contribution

SN - 9781424452149

BT - 2010 1st International Nuclear and Renewable Energy Conference, INREC'10

ER -