A Petrov–Galerkin scheme for modeling 1D channel flow with varying width and topography

A new finite element formulation for computational fluid dynamics: II. Beyond SUPG

Thomas J.R. Hughes, Michel Mallet, Akira Mizukami · Computer Methods in Applied Mechanics and Engineering · 1986 · 1.1K citations

Computing, Computational Engineering, Mechanical Engineering +14

Upwind methods for hyperbolic conservation laws with source terms

Alfredo Bermúdez, Ma Elena Vazquez · Computers & Fluids · 1994 · 1K citations

Natural Sciences, Physics, Computational Fluid Dynamics +12

A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows

Emmanuel Audusse, François Bouchut, Marie-Odile Bristeau et al. · SIAM Journal on Scientific Computing · 2004 · 981 citations

Natural Sciences, Earth Sciences, Oceanography +17

A new finite element formulation for computational fluid dynamics: III. The generalized streamline operator for multidimensional advective-diffusive systems

Thomas J.R. Hughes, Michel Mallet · Computer Methods in Applied Mechanics and Engineering · 1986 · 565 citations

Engineering, Computational Engineering, Mechanical Engineering +8

The Surface Gradient Method for the Treatment of Source Terms in the Shallow-Water Equations

Jian Zhou, D. M. Causon, C. G. Mingham et al. · Journal of Computational Physics · 2001 · 542 citations

Natural Sciences, Earth Sciences, Oceanography +9