A high-order explicit Runge-Kutta approximation technique for the Shallow Water Equations

Autor:	Guermond, Jean-Luc, Maier, Matthias, Tovar, Eric
Rok vydání:	2024
Předmět:	Mathematics - Numerical Analysis 65M60 65M12 35L50 35L65 76M10
Druh dokumentu:	Working Paper
Popis:	We introduce a high-order space-time approximation of the Shallow Water Equations with sources that is invariant-domain preserving (IDP) and well-balanced with respect to rest states. The employed time-stepping technique is a novel explicit Runge-Kutta (ERK) approach which is an extension of the class of ERK-IDP methods introduced by Ern and Guermond (SIAM J. Sci. Comput. 44(5), A3366--A3392, 2022) for systems of non-linear conservation equations. The resulting method is then numerically illustrated through verification and validation. Comment: 29 pages, 9 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2403.17123 Zobrazit plný text záznamu View this record from Arxiv