Abstract
The volume-averaged Navier-Stokes equations (VANSE) play a key role in simulating multiphase flow and fluidization. However, the lack of effective models for VANSE has hindered the integration of miscible methods into the lattice Boltzmann framework. To bridge this gap, a novel method named as the pressure-based lattice Boltzmann method for VANSE (PLBM-VANSE) has been proposed. PLBM-VANSE distinguishes itself by decoupling pressure from density, tackling two significant challenges: ensuring volume conservation under large pressure gradients and maintaining stability across discontinuities in void fractions. The numerical results show that PLBM-VANSE effectively eliminates spurious velocities and maintains second-order accuracy in both spatial and spatiotemporal changes of void fraction. The pattern of flow past fixed particle bed is successfully simulated, demonstrating its feasibility and practicality for accurate simulation of complex multiphase flows using the lattice Boltzmann method.
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