A flux-differencing formulation with Gauss nodes
Numerical Analysis
2023-06-26 v2 Numerical Analysis
Fluid Dynamics
Abstract
In this work, we propose an extension of telescopic derivative operators for the DGSEM with Gauss nodes, and we prove that this formulation is equivalent to its usual matrix counterpart. Among other possible applications, this allows extending the stabilization methods already developed for Gauss-Lobatto nodes to Gauss nodes, also ensuring properties such as entropy stability while retaining their improved accuracy.
Cite
@article{arxiv.2211.05066,
title = {A flux-differencing formulation with Gauss nodes},
author = {Andrés Mateo-Gabín and Andrés M. Rueda-Ramírez and Eusebio Valero and Gonzalo Rubio},
journal= {arXiv preprint arXiv:2211.05066},
year = {2023}
}
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