Multi-modal transport prediction for linear one-dimensional wave propagation problems

Abstract

Considering a linear one-dimensional wave propagation problem, a technique to predict wave transport across gaps between computational subdomains is proposed. The observed waves at the “source” domain are disassembled into a modal description, and their propagation into the “destination” domain is predicted using the system’s dispersion relation. This approach is extended into a multi-modal wave prediction functionality which enables efficient domain decomposition for time-critical computation problems. Simulation results on a railway catenary’s contact wire simulation highlights the attained high accuracy of the prediction. This technique can serve as a cornerstone for the development of real-time control tasks or any applications where domain decomposition is applied to reduce computational costs.