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Applied Numerical Mathematics, ISSN 0168-9274, 12/2016, Volume 110, pp. 26 - 40
This paper presents a finite volume scheme for a scalar one-dimensional fluid–particle interaction model. When devising a finite volume scheme for this model,... 
Solid–fluid interaction | Finite volume scheme | Moving mesh scheme | Moving interface | Well-balanced scheme | Singular source term | PDE-ODE coupling | Burgers equation | MATHEMATICS, APPLIED | Solid-fluid interaction | MODEL
Journal Article
SIAM JOURNAL ON SCIENTIFIC COMPUTING, ISSN 1064-8275, 2019, Volume 41, Issue 3, pp. A1500 - A1526
Journal Article
SIAM Journal of Scientific Computing, ISSN 1064-8275, 2004, Volume 25, Issue 6, pp. 2050 - 2065
We consider the Saint-Venant system for shallow water flows, with non. at bottom. It is a hyperbolic system of conservation laws that approximately describes... 
Shallow water equations | Well-balanced schemes | Finite volume schemes | SOURCE TERMS | MATHEMATICS, APPLIED | HYPERBOLIC SYSTEMS | SAINT-VENANT | well-balanced schemes | SCALAR CONSERVATION-LAWS | shallow water equations | EQUATIONS | finite volume schemes | KINETIC SCHEME
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2017, Volume 55, Issue 2, pp. 758 - 784
Journal Article
International Journal for Numerical Methods in Fluids, ISSN 0271-2091, 05/2016, Volume 81, Issue 2, pp. 104 - 127
This paper describes a numerical discretization of the compressible Euler equations with a gravitational potential. A pertinent feature of the solutions to... 
steady states | relaxation schemes | source terms | Euler flow | well‐balanced schemes | hyperbolic system | Source terms | Well-balanced schemes | Hyperbolic system | Relaxation schemes | Steady states | Gravitation | Hydrostatics | Approximation | Discretization | Mathematical analysis | Mathematical models | Entropy | Euler equations
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 02/2014, Volume 259, pp. 199 - 219
Journal Article
Numerical Methods for Partial Differential Equations, ISSN 0749-159X, 11/2011, Volume 27, Issue 6, pp. 1396 - 1422
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 02/2017, Volume 112, pp. 65 - 78
We investigate the performance of the high order well-balanced hybrid compact-weighted essentially non-oscillatory (WENO) finite difference scheme (Hybrid) for... 
Shallow water equations | Hybrid | Multi-resolution | WENO-Z | Compact | Well-balanced | MATHEMATICS, APPLIED | ENO | ESSENTIALLY NONOSCILLATORY SCHEMES | HIGH-ORDER | FINITE-DIFFERENCE SCHEME | SOURCE TERMS | LAWS | EXACT CONSERVATION PROPERTY | Marine geography | Analysis
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 06/2018, Volume 362, pp. 425 - 448
We present a novel high-order discontinuous Galerkin discretization for the spherical shallow water equations, able to handle wetting/drying and... 
Shallow water equations | Wetting and drying | Discontinuous Galerkin method | Non-conforming mesh | Well-balanced scheme | Curved mesh | GRIDS | PHYSICS, MATHEMATICAL | ORDER | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | CONSERVATION | FLOWS | EULER EQUATIONS | Tsunamis | Models | Numerical analysis
Journal Article