High-order well-balanced central WENO scheme for pre-balanced shallow water equations

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

Balancing Source Terms and Flux Gradients in High-Resolution Godunov Methods: The Quasi-Steady Wave-Propagation Algorithm

Randall J. LeVeque · Journal of Computational Physics · 1998 · 801 citations

Natural Sciences, Computational Engineering, Earth Sciences +10

A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations

J. M. Greenberg, Alain Leroux · SIAM Journal on Numerical Analysis · 1996 · 669 citations

Natural Sciences, Mathematics, Physics +17

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

Improved Treatment of Source Terms in Upwind Schemes for the Shallow Water Equations in Channels with Irregular Geometry

M. Elena Vázquez-Cendón · Journal of Computational Physics · 1999 · 463 citations

Engineering, Hydrology, Ocean Engineering +13