TY - GEN
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
U2 - 10.1109/INREC.2010.5462603
DO - 10.1109/INREC.2010.5462603
M3 - Conference contribution
AN - SCOPUS:77953237004
SN - 9781424452149
T3 - 2010 1st International Nuclear and Renewable Energy Conference, INREC'10
BT - 2010 1st International Nuclear and Renewable Energy Conference, INREC'10
T2 - 2010 1st International Nuclear and Renewable Energy 2010 1st International Nuclear and Renewable Energy Conference, INREC'10
Y2 - 21 March 2010 through 24 March 2010
ER -