A novel algorithm of immersed moving boundary scheme for fluid–particle interactions in DEM–LBM

D.R.J. Owen, M. Wang, T. M. Qu, Y.T. Feng
Computer Methods in Applied Mechanics and Engineering
Boundary tracing, Discrete element method, fluid–solid interaction, immersed boundary method, Immersed Moving Boundary, Lattice Boltzmann Method

This paper presents an efficient and accurate Immersed Moving Boundary (IMB) algorithm for solving fluid–particle interactions in the framework of the Lattice Boltzmann Method (LBM). Although the IMB scheme has been widely employed in many fluid–particle coupling problems in a wide range of applications, the algorithm of its implementation, especially in identifying both fluid and solid boundary nodes for particles, is seldom reported. Besides, the computational cost of handling fluid–particle coupling is very expensive. To provide a bridge between theory and application and improve the computing efficiency of IMB, a novel boundary tracing procedure and an efficient method for computing the solid nodal ratio using Gaussian quadrature are proposed in this paper. Both accuracy and efficiency of the proposed algorithm are examined by two benchmark tests. It is also found that the IMB scheme are more efficient and stable compared to another widely used Immersed Boundary Method (IBM) in LBM.

Keywords:  Fluid–solid interaction, Lattice Boltzmann method, Discrete element method, Immersed moving boundary, Immersed boundary method, Boundary tracing, 

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