Abstract
We develop a lattice Boltzmann (LB) model for immiscible two-phase flow simulations with central moments (CMs). This successfully combines a three-dimensional nonorthogonal CM-based LB scheme [De Rosis, Phys. Rev. E 95, 013310 (2017)2470-004510.1103/PhysRevE.95.013310] with our previous color-gradient LB model [Saito, Abe, and Koyama, Phys. Rev. E 96, 013317 (2017)2470-004510.1103/PhysRevE.96.013317]. Hydrodynamic melt-jet breakup simulations show that the proposed model is significantly more stable, even for flow with extremely high Reynolds numbers, up to O(10^{6}). This enables us to investigate the phenomena expected under actual reactor conditions.
Highlights
Multiphase and multicomponent flows appear in many natural and industrial processes
We develop a lattice Boltzmann (LB) model for immiscible two-phase flow simulations with central moments (CMs)
Even though the numerical conditions were somewhat extreme, numerical stability was maintained throughout the simulations These results show that using our CG LB model, based on nonorthogonal CMs, allowed Re to be increased significantly
Summary
Multiphase and multicomponent flows appear in many natural and industrial processes. A liquid jet injected into another fluid is an interesting example of such a flow, and understanding the breakup of liquid jets has been a topic of significant interest for more than a century. This paper focus on color-gradient (CG) models, as they have many strengths for simulating multiphase or multicomponent flows, including strict mass conservation for each fluid and flexibility in adjusting the interfacial tension [43]. They do not require us to use the static drop test to determine the interfacial tension, as this can be obtained directly without further analysis or assumptions. De Rosis has consistently adopted nonorthogonal CMs [62,63,64,65,66], which are characterized by straightforward derivation and easy practical implementation His analytical formulation is very general, as it can be extended to any lattice velocity space.
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