Well-Balanced Second-Order Finite Element Approximation of the Shallow Water Equations with Friction Academic Article uri icon

abstract

  • 2018 Society for Industrial and Applied Mathematics. This paper investigates the approximation of the shallow water equations with topography and friction, using continuous fnite elements. A new, second-order, parameter-free, wellbalanced and positivity preserving explicit approximation technique is introduced. The novelties of the method are the explicit treatment of the friction term, the robust approximation of dry states, a commutator-based, high-order, entropy viscosity, and a local limiting procedure. The computational method is illustrated on various benchmark tests.

published proceedings

  • SIAM Journal on Scientific Computing

author list (cited authors)

  • Guermond, J., de Luna, M. Q., Popov, B., Kees, C. E., & Farthing, M. W.

citation count

  • 17

complete list of authors

  • Guermond, Jean-Luc||de Luna, Manuel Quezada||Popov, Bojan||Kees, Christopher E||Farthing, Matthew W

publication date

  • January 1, 2018 11:11 AM