Euler-Lagrange framework for deformation of granular media coupled with the ambient fluid flow

A full-scale continuum framework for modeling fluid interaction with granular media is computationally exhaustive due to the diverse range of length and time scales. Given the nature of these processes, the computational burden aggravates the problem of real-time simulation for large-scale scenarios. In the current study, the interaction between Newtonian fluid and deformable granular media is modeled through a coupled framework comprising of a two-dimensional divergence-free Incompressible Smoothed Particle Hydrodynamics and a depth-integrated Finite Volume Method, respectively. The coupling is based on the interaction force pair tailored for each module appropriately. The formulation has been validated against a variety of test-cases comprising of a diverse configuration of initial conditions for both fluid and granular modules. The proposed framework is in consonance with experimental data and may be extended to real-time scenarios owing to lower computational overhead.

Automated summary

In this study, a coupled framework was used to model the interaction between Newtonian fluid and deformable granular media, reducing the computational burden for real-time simulation in large-scale scenarios. The interaction force pair tailored for each module was validated against a variety of test-cases, showing consistency with experimental data and suitability for extending to real-time scenarios.