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Journal of Scientific Computing

Erschienen in:

17.02.2016

Notes on RKDG Methods for Shallow-Water Equations in Canal Networks

verfasst von: Maya Briani, Benedetto Piccoli, Jing-Mei Qiu

Erschienen in: Journal of Scientific Computing | Ausgabe 3/2016

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Abstract

PDE models for network flows are used in a number of different applications, including modeling of water channel networks. While the theory and first-order numerics are well developed, high-order schemes are not well developed. We propose a Runge–Kutta discontinuous Galerkin method as an efficient, effective and compact numerical approach for numerical simulations of 1-D models for water flow in open canals. Our numerical tests show the advantages of RKDG over first-order schemes.

Vorheriger Artikel Point Source Super-resolution Via Non-convex Based Methods

Nächster Artikel Fast Computing of Conformal Mapping and Its Inverse of Bounded Multiply Connected Regions onto Second, Third and Fourth Categories of Koebe’s Canonical Slit Regions

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Titel: Notes on RKDG Methods for Shallow-Water Equations in Canal Networks
verfasst von: Maya Briani
Benedetto Piccoli
Jing-Mei Qiu
Publikationsdatum: 17.02.2016
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 3/2016
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-016-0172-2

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