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

Maya Briani, Benedetto Piccoli, Jing Mei Qiu

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1101-1123
Number of pages23
JournalJournal of Scientific Computing
Volume68
Issue number3
DOIs
StatePublished - Sep 1 2016

All Science Journal Classification (ASJC) codes

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • Engineering(all)
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

Keywords

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

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