Application of Numerical time Integration Schemes to Continuously Variable Transmission Dynamics Analysis

Numerical analysis of large-scale and multidisciplinary problems on high-performance computer (HPC) systems is one of the main computational challenges of the 21st century. Modelling the dynamics of a continuously variable transmission (CVT) is one of such problems. CVT has been used in the automotive industry for last decades. The complexity of physical interactions in CVT does not allow engineers to use any of the general purpose commercial software packages for CVT design. Our project aims to develop a mathematical model, computational algorithms and problem oriented in- house software for simulating CVT dynamics. One of the important steps in this project is the study of explicit and implicit time integration schemes for the stiff system of ordinary differential equations, as well as implementations of these schemes on HPC systems.