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Proceedings of the Canadian Society of Civil Engineering Annual Conference 2021
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A new well-balanced finite-volume scheme on unstructured triangular grids for two-dimensional two-layer shallow water flows with wet-dry fronts
Path-conservative central-upwind schemes for nonconservative hyperbolic systems
Manuel Jesús Castro Díaz, Alexander Kurganov and Tomás Morales de Luna ESAIM: Mathematical Modelling and Numerical Analysis 53(3) 959 (2019) https://doi.org/10.1051/m2an/2018077
A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations
Yuanzhen Cheng, Alina Chertock, Michael Herty, Alexander Kurganov and Tong Wu Journal of Scientific Computing 80(1) 538 (2019) https://doi.org/10.1007/s10915-019-00947-w
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Theory, Numerics and Applications of Hyperbolic Problems I
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A numerical model for three-dimensional shallow water flows with sharp gradients over mobile topography
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Xin Liu, Abdolmajid Mohammadian, Julio Ángel Infante Sedano and Alexander Kurganov Journal of Computational Physics 333 160 (2017) https://doi.org/10.1016/j.jcp.2016.12.030
The MOOD method for the non-conservative shallow-water system
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Application of positivity-preserving well-balanced discontinuous Galerkin method in computational hydrology
A robust coupled 2-D model for rapidly varying flows over erodible bed using central-upwind method with wetting and drying
Xin Liu, Julio Angel Infante Sedano and Abdolmajid Mohammadian Canadian Journal of Civil Engineering 42(8) 530 (2015) https://doi.org/10.1139/cjce-2014-0524
A robust and well-balanced numerical model for solving the two-layer shallow water equations over uneven topography
A two‐dimensional numerical scheme of dry/wet fronts for the Saint‐Venant system of shallow water equations
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A robust and well‐balanced scheme for the 2D Saint‐Venant system on unstructured meshes with friction source term
Well‐balanced positivity preserving central‐upwind scheme for the shallow water system with friction terms
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Well-balanced central-upwind scheme for a fully coupled shallow water system modeling flows over erodible bed
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An efficient splitting technique for two-layer shallow-water model
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Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms
A robust well-balanced model on unstructured grids for shallow water flows with wetting and drying over complex topography
Jingming Hou, Franz Simons, Mohamed Mahgoub and Reinhard Hinkelmann Computer Methods in Applied Mechanics and Engineering 257 126 (2013) https://doi.org/10.1016/j.cma.2013.01.015
A kinetic scheme for the one-dimensional open channel flow equations with applications on networks