Bound preserving Point-Average-Moment PolynomiAl-interpreted (PAMPA) on polygonal meshes

2025/02/14 by Abgrall, Rémi, Liu, Yongle, Boscheri, Walter · 2 citations
#65M06 #65M08 #65M60 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2502.10069

Abstract

We present a novel discretisation strategy, strongly inspired from Roe's Active Flux scheme. It can use polygonal meshes and is provably bound preserving for scalar problems and the Euler equations. Several cases demonstrates the quality of the method, and improvements with respect to previous work of the authors. This paper is a summary of \citeBPPampa.

Cited by

• Construction of entropy satisfying Active Flux-type methods
• A Fully Discrete Truly Multidimensional Active Flux Method For The Two-Dimensional Euler Equations

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