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Research Article

Comparison of different numerical schemes for 1D conservation laws

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Pages 537-552 | Received 01 Mar 2020, Published online: 30 Aug 2020

References

  • Alexander Kurganov. Central schemes: A powerful black-box solver for nonlinear hyperbolic PDEs. In Handbook of Numerical Analysis, volume 17, pages 525-548. Elsevier, 2016.
  • Felix M Exner. Zur physik der dÜnen. HÖlder, 1920.
  • AJ Grass. Sediment transport by waves and currents. University College, London, Department of Civil Engineering, 1981.
  • C. Nwaigwe. Coupling Methods for 2D/1D Shallow Water Flow Models for Flood Simulations. PhD thesis, University of Warwick, United Kingdom, 2016.
  • F. Bouchut. Nonlinear stability of finite Volume Methods for hyperbolic conservation laws: And Well-Balanced schemes for sources. Springer Science & Business Media, 2004.
  • S. Mungkasi. A study of well-balanced finite volume methods and refinement indicators for the shallow water equations. PhD thesis, The Australian National University, 2012.
  • E. F. Toro. Riemann solvers and numerical methods for fluid dynamics: a practical introduction. Springer Science & Business Media, 1999.
  • E. F. Toro. Shock Capturing Methods For Free-surface Flows. Wiley, 2001.
  • R. J. Leveque. Numerical Methods for Conservation Laws. Birkhäuser verlag, 1992.
  • Katate Masatsuka. I do Like CFD, vol. 1, volume 1. Lulu. com, 2013.
  • E. Audusse, F. Bouchut, M.O. Bristeau, R. Klein, and B. Perthame. A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. SIAM Journal Scientific Computing, 25:2050- 2065, 2004. doi: 10.1137/S1064827503431090
  • Fabio Baronio, Amin Chabchoub, Gavin Esler, Joe Field, Jennifer Gaskell, Ian Hewitt, Sara Lombardo, Scott Marquis, Chinedu Nwaigwe, Alexandra Tzella, et al. Hydraulic modelling of collection networks study group 2: Maths foresees project report. 2018.
  • F. Bouchut. Efficient Numerical Finite Volume Schemes for Shallow Water Models. Elsevier, 2007.

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