Well-Balanced Second-Order Finite Element Approximation of the Shallow Water Equations with Friction
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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.
SIAM Journal on Scientific Computing
author list (cited authors)
Guermond, J., de Luna, M. Q., Popov, B., Kees, C. E., & Farthing, M. W.
complete list of authors
Guermond, Jean-Luc||de Luna, Manuel Quezada||Popov, Bojan||Kees, Christopher E||Farthing, Matthew W