A Performant High-Accuracy lattice Boltzmann Boundary Condition for Fluid-Structure Interaction
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The gravitational settling of crystals in magmas plays a major role in their chemical differentiation. The overall reduction in segregation velocity between the crystals or bubbles and the melt with increasing particle volume fraction is commonly referred to as hindered settling. Hindered settling is generally parameterized empirically through separation velocities that are power-law functions of the particle volume fraction. This is especially true because particle settling, in general, is known to develop wave instabilities, leading to heterogeneous distributions of fluid and particle volume fractions. For the investigation of this phenomenon and recovery of the fluid-structure interaction (FSI) behavior, we use a composition of two numerical models for fully resolved purposes: the lattice Boltzmann Method (LBM) and the Discrete Element Method (DEM). In terms of coupling between these two methods, it is essential to observe that depending on the approach, it is not possible to compute accurately and performantly some significant FSI parameters like drag and lift coefficients. For this problem, we propose to apply and extend the Enhanced Linear (ELI) boundary condition to moving immersed particles.
