Model Reduction for Nanoscale Stick-Slip Friction Using Proper Orthogonal Decomposition

Abstract

Advances in computing hardware and algorithms have led to molecular dynamical models being able to model more realist cases. In this paper, we focus on a special case of molecular dynamics as a starting example. The molecular dynamical simulations that model slip-stick friction are often very large and complex, requiring a great deal of computational resources and time to run. In this paper, proper orthogonal decomposition (POD), a model reduction technique that has been successfully applied to a number of different application areas, is applied to the nanoscale slip-stick friction problem. The standard POD approach, and a modified version of the POD technique that is particularly aimed at the stick-slip problem, are presented.