Journal of Scientific Computing

, Volume 68, Issue 3, pp 1101–1123 | Cite as

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

Article

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.

Keywords

Canal network Shallow-water simulations Fluvial condition Runge–Kutta discontinuous Galerkin 

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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Istituto per le Applicazioni del Calcolo “M. Picone”Consiglio Nazionale delle RicercheRomeItaly
  2. 2.Rutgers University–CamdenCamdenUSA
  3. 3.Department of MathematicsUniversity of HoustonHoustonUSA

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