… relaxation time (MRT) method the cascaded LBM introduces additional relaxation times into
… Here the cascaded LBM is further developed to include multiphase flow. For this the force …

… Since we know the relaxation time from [88], we may conclude that, as soon as the curves
in figure 4 become parallel (we remark that the number of bubbles per unit volume, Ni,", stays …

… tool for simulating multiphase and multicomponent flows [1–3]. … CFD methods in modeling
multiphase flows. For example, in … However, in the LB method, the multiphase interface can be …

… Generally speaking, the LBM is convenient for multiphase flows, as the interface can be
implicitly tracked with multiple distribution functions [33]. Though being beyond the scope of this …

… a multi-phase fluid system with Peng-Robinson (PR) equation of state (EOS). The mathematical
model of the multi-phase fluid flow … The nonideal force in the multi-phase flow is directly …

… way for simulating multiphase flows by … multiphase flows in the past decades, ranging from
single-component to multicomponent fluids. Several types of LBE models for multiphase flows …

… tive computational scheme for simulating multiphase flows involving free interfaces, such as
… in the literature for simulation of multiphase flows. The first multiphase LBM, called the color …

… relaxation time between components in multi-phase flow since fluids with shorter longitudinal
relaxation times … than components with longer longitudinal relaxation times. Therefore, the …

… The relaxation time τ l is(3) τ l = 3 ν c 2 + 1 2 Δ t l , where ν is the kinematic viscosity. The
parameters s a , s b , s c , s d and s e can be freely chosen in the range [−2, 0] and tuned to …

… The elasto-capillary number and the Deborah number, defined by: (25) E l = λ σ η 0 l , D e
= λ ρ l 3 σ , where λ is the characteristic relaxation time of the fluid, η 0 is the dynamic viscosity …