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Angle dependence in coupling conditions for shallow water equations at canal junctions

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  • Additional Information
    • Contributors:
      Istituto per le Applicazioni del Calcolo "Mauro Picone" (IAC); National Research Council of Italy; Dipartimento di Matematica "Guido Castelnuovo" Roma I (Sapienza University of Rome); Università degli Studi di Roma "La Sapienza" = Sapienza University Rome (UNIROMA); Institut Denis Poisson (IDP); Université d'Orléans (UO)-Université de Tours (UT)-Centre National de la Recherche Scientifique (CNRS); This work was partly supported by MIUR (Ministry of University and Research) PRIN2017 project number 2017KKJP4X.
    • Publication Information:
      HAL CCSD
      Elsevier
    • Publication Date:
      2022
    • Collection:
      Université François-Rabelais de Tours: HAL
    • Abstract:
      32 pages, 14 figures, 33 ref. ; International audience ; In this paper we propose a numerical Riemann problem solver at the junction of one dimensional shallow-water canal networks. The junction conditions take into account the angles with which the channels intersect and include the possibility of canals with different sections. The solver is illustrated with several numerical tests which underline the importance of the angle dependence to obtain reliable solutions.
    • Relation:
      info:eu-repo/semantics/altIdentifier/arxiv/2105.01741; hal-03196295; https://hal.science/hal-03196295; https://hal.science/hal-03196295/document; https://hal.science/hal-03196295/file/Junction_v4.pdf; ARXIV: 2105.01741
    • Accession Number:
      10.1016/j.camwa.2021.12.021
    • Online Access:
      https://doi.org/10.1016/j.camwa.2021.12.021
      https://hal.science/hal-03196295
      https://hal.science/hal-03196295/document
      https://hal.science/hal-03196295/file/Junction_v4.pdf
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • Accession Number:
      edsbas.37FC3E7C