International Journal of Emerging Multidisciplinaries: Mathematics

Corresponding Author

Kamran Usman

Document Type

Research Article

Subject Areas

Applied Mathematics and Computations; Numerical Analysis and Differential Equations


Fictitious Boundary Method; Finite Element Method; Multigrid; Particulate Flow, Sedimentation; Twin particles.


The objective of this study is to examine the performance of two adjacent solid particles as they settle in close nearness, with a focus on comprehending the intricate interactions between the particles and the surrounding fluid during the process of sediment transport. Simulations are conducted with different initial horizontal spacing between particles and Reynolds numbers (Re). The findings of the simulations highlight the impact of the initial spacing between particles and Reynolds numbers (Re) as key factors influencing the ultimate settling velocity and separation distance. In general, when the initial spacing between particles is small and the Reynolds number (Re) is large, it results in a notable repulsive interaction between the particles. The behavior of solid particles in particulate flows has been studied, focusing on their interactions with each other and the surrounding fluid. A computational mesh is employed to enable the particles to move within it, employing an Eulerian approach. To address the interaction between the particles and the fluid, a method called the fictitious boundary method (FBM) is utilized. By employing an explicit volume integral approach, the hydrodynamic forces exerted on the particles' surfaces are calculated.

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