A Newton multigrid method for steady-state shallow water equations with topography and dry areas

A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes

(2014) Maurizio Tavelli et al.   APPLIED MATHEMATICS AND COMPUTATION

A staggered semi-implicit spectral discontinuous Galerkin scheme for the shallow water equations

(2013) Michael Dumbser et al.   APPLIED MATHEMATICS AND COMPUTATION

Unconditionally stable space–time discontinuous residual distribution for shallow-water flows

(2013) D. Sármány et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Linearized implicit time advancing and defect correction applied to sediment transport simulations

(2012) Marco Bilanceri et al.   COMPUTERS & FLUIDS

SWASHES: a compilation of shallow water analytic solutions for hydraulic and environmental studies

(2012) Olivier Delestre et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations

(2010) Yulong Xing et al.   ADVANCES IN WATER RESOURCES

A conservative high-order discontinuous Galerkin method for the shallow water equations with arbitrary topography

(2010) Georges Kesserwani et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A robust high-order residual distribution type scheme for steady Euler equations on unstructured grids

(2009) Guanghui Hu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Adaptive quadtree simulation of shallow flows with wet–dry fronts over complex topography

(2008) Qiuhua Liang et al.   COMPUTERS & FLUIDS