### 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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Pages (from-to) | 969-971 |

Number of pages | 3 |

Journal | Transactions of the American Nuclear Society |

Volume | 103 |

State | Published - Dec 1 2010 |

Event | 2010 ANS Annual Meeting and Embedded Topical Meeting: Isotopes for Medicine and Industry - Las Vegas, NV, United States Duration: Nov 7 2010 → Nov 11 2010 |

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### ASJC Scopus subject areas

- Nuclear Energy and Engineering
- Safety, Risk, Reliability and Quality

### Cite this

*Transactions of the American Nuclear Society*,

*103*, 969-971.

**Artificial interface lattice Boltzmann (AILB) model for simulation of two-phase dynamics.** / Jain, Prashant K.; Rizwan-Uddin.

Research output: Contribution to journal › Conference article

*Transactions of the American Nuclear Society*, vol. 103, pp. 969-971.

}

TY - JOUR

T1 - Artificial interface lattice Boltzmann (AILB) model for simulation of two-phase dynamics

AU - Jain, Prashant K.

AU - Rizwan-Uddin,

PY - 2010/12/1

Y1 - 2010/12/1

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=84875655432&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84875655432&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:84875655432

VL - 103

SP - 969

EP - 971

JO - Transactions of the American Nuclear Society

JF - Transactions of the American Nuclear Society

SN - 0003-018X

ER -