Collision of Viscoelastic Spheres: Compact Expressions for the Coefficient of Normal Restitution
Patric Mueller, Thorsten Poeschel
TL;DR
This paper derives simplified expressions for the coefficient of restitution of colliding viscoelastic spheres, enabling efficient simulations in granular systems by approximating an analytically exact series expansion.
Contribution
It provides compact, practical formulas derived from the exact series expansion, suitable for use in event-driven molecular dynamics and Monte Carlo simulations.
Findings
Derived expressions facilitate efficient simulations
Approximate formulas closely match the exact series
Enables practical modeling of granular collisions
Abstract
The coefficient of restitution of colliding viscoelastic spheres is analytically known as a complete series expansion in terms of the impact velocity where all (infinitely many) coefficients are known. While beeing analytically exact, this result is not suitable for applications in efficient event-driven Molecular Dynamics (eMD) or Monte Carlo (MC) simulations. Based on the analytic result, here we derive expressions for the coefficient of restitution which allow for an application in efficient eMD and MC simulations of granular Systems.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.