@inproceedings{9a0cb7f08d6241a69bd4e8ad73a83829,
title = "Roll waves revisited from a contemporary perspective",
abstract = "Roll waves propagating without deformation are non-trivial unsteady solutions to the shallow water equations governing open channel flows. Those solutions are continuously differentiable almost everywhere but contain discontinuities elsewhere. We present a concise review of the roll waves as weak solutions of the shallow water equations and conduct numerical experiments using two approaches, implicating the consistency of the theory with real-world phenomena.",
author = "Koichi Unami and Dia Zeidan and Rania Saadeh and Batiha, \{Iqbal M.\} and Ahmad Qazza and Osama Mohawesh",
note = "Publisher Copyright: {\textcopyright} 2026 Author(s).; International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2024 ; Conference date: 11-09-2024 Through 17-09-2024",
year = "2026",
month = may,
day = "7",
doi = "10.1063/5.0328289",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics",
number = "1",
editor = "Simos, \{Theodore E.\} and Charalambos Tsitouras",
booktitle = "AIP Conference Proceedings",
address = "United States",
edition = "1",
}