An extrapolation-based boundary treatment for using the lattice Boltzmann method to simulate fluid-particle interaction near a wall

CH Lee and ZH Huang and YM Chiew, ENGINEERING APPLICATIONS OF COMPUTATIONAL FLUID MECHANICS, 9, 370-381 (2015).

DOI: 10.1080/19942060.2015.1061554

Two important issues need to be addressed when using lattice Boltzmann methods to simulate particulate flows: complex moving boundaries and near contact of two solid objects. This study introduces a new boundary treatment method for using lattice Boltzmann methods to study fluid- particle interaction problems in which solid objects are close to a wall or two solid objects are near contact. The new method does not need to use any additional lubrication correction to total hydrodynamic force, instead implementing the no-slip boundary condition by introducing an appropriate fictitious flow field outside the fluid domain. The new method was verified by simulating a spherical particle falling down in fluids with and without rebound. It is concluded that the proposed boundary treatment method can accurately simulate the fluid-particle interaction near a rigid wall and collision in fluid.

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