Effective evaluation of permeability for interdendritic fluid flow using adaptive mesh refinement: Phase-field lattice Boltzmann study

An effective permeability prediction method was developed by applying an adaptive mesh refinement (AMR) scheme to the lattice Boltzmann (LB) simulations to compute interdendritic liquid flow. The developed method can automatically create adaptive meshes for LB simulations based on dendrite morphologies obtained by phase-field (PF) simulations. The AMR scheme drastically reduces the number of grid points and accurately computes the liquid flow around dendrites. We found that the reduction rate of the number of meshes was remarkable when using coarser meshes compared to those used in the PF simulation. This method will enable the systematic evaluation of the permeability for liquid flow in various dendritic structures.