Collisional SPH: a method to model frictional collisions with SPH

Dhairya R. Vyas, Sharen J. Cummins, Murray Rudman, Paul W. Cleary, Gary W. Delaney, Devang V. Khakhar

Research output: Contribution to journalArticleResearchpeer-review

12 Citations (Scopus)


Accurate modeling of rebound kinematics in particle-substrate collisions is essential in a wide range of applications like milling and mixing. To accurately model these real-world collisions the forces arising due to elastoplastic deformation and friction need to be modelled accurately. In this study the use of frictional boundary conditions in modeling elastic collisions with Smooth Particle Hydrodynamics (SPH) is explored. The collision dynamics for an oblique impact of a 3D spherical granule on an elastic substrate is assessed for SPH (a) without any special treatment for friction and (b) using Coulomb's friction model, and it is identified that these approaches are inaccurate in some instances. To resolve this, spring-based contact models are incorporated in SPH to develop a new method for improved contact modeling. We call this method Collisional SPH. This Collisional SPH method predicts both rebound kinematics and surface deformation accurately. This method opens new avenues for further development in modeling collisional deformations and collision dynamics in granular systems using SPH.

Original languageEnglish
Pages (from-to)13-35
Number of pages23
JournalApplied Mathematical Modelling
Publication statusPublished - Jun 2021


  • Collision
  • Contact models
  • Friction
  • Low velocity impact
  • SPH

Cite this