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Second-Order Accurate Structure-Preserving Scheme for Solute Transport on Polygonal Meshes
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Proceedings of the Canadian Society of Civil Engineering Annual Conference 2021
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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
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An adaptive well-balanced positivity preserving central-upwind scheme on quadtree grids for shallow water equations
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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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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
One-Dimensional/Two-Dimensional Coupling Approach with Quadrilateral Confluence Region for Modeling River Systems
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Well-balanced open boundary condition in a lattice Boltzmann model for shallow water with arbitrary bathymetry
Well-balanced schemes for the shallow water equations with Coriolis forces
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A central-upwind geometry-preserving method for hyperbolic conservation laws on the sphere
Three-dimensional shallow water system: A relaxation approach
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
Numerical modeling of submarine turbidity currents over erodible beds using unstructured grids
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Application of positivity-preserving well-balanced discontinuous Galerkin method in computational hydrology
Well-balanced central-upwind scheme for a fully coupled shallow water system modeling flows over erodible bed
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A two‐dimensional numerical scheme of dry/wet fronts for the Saint‐Venant system of shallow water equations
Zsolt Horváth, Jürgen Waser, Rui A. P. Perdigão, Artem Konev and Günter Blöschl International Journal for Numerical Methods in Fluids 77(3) 159 (2015) https://doi.org/10.1002/fld.3983
An efficient splitting technique for two-layer shallow-water model
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A phase-resolved, depth-averaged non-hydrostatic numerical model for cross-shore wave propagation
Well‐balanced positivity preserving central‐upwind scheme for the shallow water system with friction terms
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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
Numerical model of currents generated by sources and sinks in a circular rotating channel
A robust well-balanced model on unstructured grids for shallow water flows with wetting and drying over complex topography
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Efficient well-balanced hydrostatic upwind schemes for shallow-water equations