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Direct numerical simulation of roll waves on landslide mudflow
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Well-Balanced conservative central upwind scheme for solving the dam-break flow problem over erodible bed
Abdelhafid Serguini, Sanae Jelti and Abdelmajid El Hajaji Boletim da Sociedade Paranaense de Matemática 42 1 (2024) https://doi.org/10.5269/bspm.66942
A Well-Balanced Active Flux Method for the Shallow Water Equations with Wetting and Drying
Second-Order Accurate Structure-Preserving Scheme for Solute Transport on Polygonal Meshes
Naren Vohra, Konstantin Lipnikov and Svetlana Tokareva Communications on Applied Mathematics and Computation 6(3) 1600 (2024) https://doi.org/10.1007/s42967-023-00289-3
Tsunami Inundation Modelling in a Built-In Coastal Environment with Adaptive Mesh Refinement: The Onagawa Benchmark Test
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A multi-algorithm approach for modeling coastal wetland eco-geomorphology
Zeli Tan, L. Ruby Leung, Chang Liao, Luca Carniello, José F. Rodríguez, Patricia M. Saco and Steven G. Sandi Frontiers in Earth Science 12 (2024) https://doi.org/10.3389/feart.2024.1421265
Roll waves on laminar sheet flow of Newtonian fluid with negligible surface tension
A structure-preserving algorithm for surface water flows with transport processes
Hasan Karjoun, Abdelaziz Beljadid and Philippe G. LeFloch Advances in Computational Mathematics 48(1) (2022) https://doi.org/10.1007/s10444-021-09918-y
Zied Amama, Nicolas Branco, Cheikh Mangara, Kevis Mbonyinshuti, Qiyu Yu, Thibaut Cottancin, Sarah Vigoureux, Pierre Brigode, Olivier Delestre and Pierre-Yves Lagrée 121 (2022) https://doi.org/10.1007/978-981-19-1600-7_8
Investigation of the Ripa Model via NHRS Scheme with Its Wide-Ranging Applications
A semi-discrete Lagrangian–Eulerian scheme for hyperbolic-transport models
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Well-balanced positivity preserving adaptive moving mesh central-upwind schemes for the Saint-Venant system
Alexander Kurganov, Zhuolin Qu and Tong Wu ESAIM: Mathematical Modelling and Numerical Analysis 56(4) 1327 (2022) https://doi.org/10.1051/m2an/2022041
Propagation of diffusing pollutant by kinetic flux-vector splitting method
Saqib Zia, Omar Rabbani, Asad Rehman and Munshoor Ahmed International Journal of Nonlinear Sciences and Numerical Simulation 23(3-4) 433 (2022) https://doi.org/10.1515/ijnsns-2019-0169
Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Models
An adaptive central‐upwind scheme on quadtree grids for variable density shallow water equations
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Improved Modeling of Flows in Sewer Pipes with a Novel, Well-Balanced MUSCL Scheme
A well‐balanced positivity‐preserving central‐upwind scheme for one‐dimensional blood flow models
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Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Shallow Water Equations
Dihan Dai, Yekaterina Epshteyn and Akil Narayan SIAM Journal on Scientific Computing 43(2) A929 (2021) https://doi.org/10.1137/20M1360736
A Well-Balanced SPH-ALE Scheme for Shallow Water Applications
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A central-upwind scheme for two-layer shallow-water flows with friction and entrainment along channels
Gerardo Hernandez-Duenas and Jorge Balbás ESAIM: Mathematical Modelling and Numerical Analysis 55(5) 2185 (2021) https://doi.org/10.1051/m2an/2021052
A well-balanced ADER discontinuous Galerkin method based on differential transformation procedure for shallow water equations
Moving-Water Equilibria Preserving Partial Relaxation Scheme for the Saint-Venant System
Xin Liu, Xi Chen, Shi Jin, Alexander Kurganov, Tong Wu and Hui Yu SIAM Journal on Scientific Computing 42(4) A2206 (2020) https://doi.org/10.1137/19M1258098
Open Water Flow in a Wet/Dry Multiply-Connected Channel Network: A Robust Numerical Modeling Algorithm
Hind Talbi, El Miloud Chaabelasri, Najim Salhi and Imad Elmahi Advances in Intelligent Systems and Computing, Embedded Systems and Artificial Intelligence 1076 75 (2020) https://doi.org/10.1007/978-981-15-0947-6_8
Fourth-order accurate finite-volume CWENO scheme for astrophysical MHD problems
Prabal Singh Verma, Jean-Mathieu Teissier, Oliver Henze and Wolf-Christian Müller Monthly Notices of the Royal Astronomical Society 482(1) 416 (2019) https://doi.org/10.1093/mnras/sty2641
A modified central discontinuous Galerkin method with positivity-preserving and well-balanced properties for the one-dimensional nonlinear shallow water equations
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
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
Central-upwind scheme for 2D turbulent shallow flows using high-resolution meshes with scalable wall functions