A meso-scale model for fluid-microstructure interactions

Particle-fluid and fluid-structure interactions are important areas in particle technology. Typical processes where such interactions are prevalent include fluidized beds, filtration and sedimentation. In addition, fluid-structure interactions are significant in applications such as nuclear waste management, for example in the cementation process used to store radioactive materials, as well as in carbon capture and storage applications where the leakage of gas injected in underground geological reservoirs must be considered in hazard and risk assessments. Given the difficulties in directly measuring the propagation of cracks in solid structures, their permeability or the internal build-up of any gases, for example, numerical techniques in conjunction with non-destructive measurements are important tools of value in assessing and predicting the behavior of fluid-structure interactions. In this work, coupling between the lattice Boltzmann method and a digital packing algorithm based on the discrete element method is used to provide a basis for predicting such coupled interactions. The development of the coupled algorithm is described, with the calculations performed on a regular lattice grid and based on the momentum exchange method to evaluate the force exerted by the fluid on a solid boundary. A number of test cases are reported to allow assessment of the coupled model’s capabilities. Overall, these test cases demonstrate reasonable quantitative agreement with available analytical and experimental results for the case of a sphere settling in a liquid, and the expected qualitative behavior for the case of different orientation cylinders settling in a fluid, and for three dynamic packing processes.