International Journal of Emerging Multidisciplinaries: Mathematics

Corresponding Author

Kamran Usman

Authors ORCID


Document Type

Research Article

Subject Areas

Applied Mathematics and Computations


Direct Numerical Simulation, Fictitious Boundary Method, Finite Element Method, Particulate Flow, Multigrid


We have examined the effects on fluid and particle motion due to solid particles passing around circular obstacles in particulate flows. Particle interaction with internal obstacles, outer boundary and with the fluid is inspected. Eulerian approach using a fixed computational mesh is used across which the solid particles move freely in fluid. Treatment of fluid and particle interaction inside the whole domain is carried using Fictitious boundary method (FBM). A collision model is presented to handle particle-cylinder interactions. The particulate flow is computed using multigrid finite element solver FEATFLOW. Numerical experiments are performed considering different particle positions and different alignment of cylinders (obstacles). Effects on the motion of the particle and on the physical behavior of the fluid-particle system due to the particle-wall, particle-cylinder and particle-fluid interactions has been analyzed.

Receive Date

2022-01-02 18:09:18

Publication Date