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Numerical Stability Analysis for a Stationary and Translating Droplet at Extremely Low Viscosity Values Using the Lattice Boltzmann Method Color-Gradient Multi-Component Model with Central Moments Formulation
Authors:Karun P. N. Datadien  Gianluca Di Staso & Federico Toschi
Abstract:Multicomponent models based on the Lattice Boltzmann Method (LBM)have clear advantages with respect to other approaches, such as good parallel performances and scalability and the automatic resolution of breakup and coalescenceevents. Multicomponent flow simulations are useful for a wide range of applications,yet many multicomponent models for LBM are limited in their numerical stability andtherefore do not allow exploration of physically relevant low viscosity regimes. Herewe perform a quantitative study and validations, varying parameters such as viscosity,droplet radius, domain size and acceleration for stationary and translating droplet simulations for the color-gradient method with central moments (CG-CM) formulation, asthis method promises increased numerical stability with respect to the non-CM formulation. We focus on numerical stability and on the effect of decreasing grid-spacing,i.e. increasing resolution, in the extremely low viscosity regime for stationary dropletsimulations. The effects of small- and large-scale anisotropy, due to grid-spacing anddomain-size, respectively, are investigated for a stationary droplet. The effects on numerical stability of applying a uniform acceleration in one direction on the domain,i.e. on both the droplet and the ambient, is explored into the low viscosity regime, toprobe the numerical stability of the method under dynamical conditions.
Keywords:Lattice Boltzmann method   multicomponent flow   numerical stability   low viscosity.
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