The Maxey-Riley-Gatignol equations (MRGE) describe the motion of a finite-sized, spherical particle in a fluid. Daniel Ruprecht, along with his team members Julio Urizarna, Vamika Rathi, Finn Sommer and Sebastian Götschel, developed an innovative numerical approach that enhances the MRGE by utilizing finite difference techniques. This method, compared to existing polynomial expansions and multi-step integrators, improves computational efficiency for various particle sizes and densities.
Check out their open access publication here.