A positivity preserving central scheme for shallow water flows in channels with wet-dry states
ESAIM: M2AN, 48 3 (2014) 665-696
Published online: 2014-01-20
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Nonstaggered central scheme with steady-state discretization for solving the open channel flows via the flux globalization
Zhen LiApplied Numerical Mathematics 207 58 (2025)
https://doi.org/10.1016/j.apnum.2024.08.022
Weakly Compressible Two-Layer Shallow-Water Flows Along Channels
Sarswati Shah and Gerardo Hernández-DueñasJournal of Scientific Computing 100 (3) (2024)
https://doi.org/10.1007/s10915-024-02608-z
Moving water equilibria preserving nonstaggered central scheme for open‐channel flows
Zhen Li, Jian Dong, Yiming Luo, Min Liu and Dingfang LiMathematical Methods in the Applied Sciences 46 (6) 7391 (2023)
https://doi.org/10.1002/mma.8976
The momentum-conserving simulation for shallow water flows in channels with arbitrary cross-sections
Revi Nurfathhiyah Hadiarti, Sri Redjeki Pudjaprasetya and Putu Veri SwastikaEuropean Journal of Mechanics - B/Fluids 99 74 (2023)
https://doi.org/10.1016/j.euromechflu.2023.01.001
A central-upwind scheme for two-layer shallow-water flows with friction and entrainment along channels
Gerardo Hernandez-Duenas and Jorge BalbásESAIM: Mathematical Modelling and Numerical Analysis 55 (5) 2185 (2021)
https://doi.org/10.1051/m2an/2021052
Exactly well‐balanced positivity preserving nonstaggered central scheme for open‐channel flows
Jian Dong and Ding Fang LiInternational Journal for Numerical Methods in Fluids 93 (1) 273 (2021)
https://doi.org/10.1002/fld.4871
A steady-state-preserving scheme for shallow water flows in channels
Xin LiuJournal of Computational Physics 423 109803 (2020)
https://doi.org/10.1016/j.jcp.2020.109803
A Well-Balanced and Positivity-Preserving Numerical Model for Shallow Water Flows in Channels with Wet–Dry Fronts
Xin LiuJournal of Scientific Computing 85 (3) (2020)
https://doi.org/10.1007/s10915-020-01362-2
Open Water Flow in a Wet/Dry Multiply-Connected Channel Network: A Robust Numerical Modeling Algorithm
Sergii Kivva, Mark Zheleznyak, Oleksandr Pylypenko and Vasyl YoschenkoPure and Applied Geophysics 177 (7) 3421 (2020)
https://doi.org/10.1007/s00024-020-02416-0
High order well-balanced finite difference WENO schemes for shallow water flows along channels with irregular geometry
Xiufang Wang, Gang Li, Shouguo Qian, Jiaojiao Li and Zhen WangApplied Mathematics and Computation 363 124587 (2019)
https://doi.org/10.1016/j.amc.2019.124587
A difference scheme for a degenerating convection-diffusion-reaction system modelling continuous sedimentation
Raimund Bürger, Stefan Diehl and Camilo MejíasESAIM: Mathematical Modelling and Numerical Analysis 52 (2) 365 (2018)
https://doi.org/10.1051/m2an/2017038
Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water flows in open channels
Shouguo Qian, Gang Li, Fengjing Shao and Yulong XingAdvances in Water Resources 115 172 (2018)
https://doi.org/10.1016/j.advwatres.2018.03.001
Finite volume method with reconstruction and bottom modification for open channel flows: An application to Yom River, Thailand
Thida Pongsanguansin, Montri Maleewong and Khamron MekchayInternational Journal for Computational Methods in Engineering Science and Mechanics 19 (4) 227 (2018)
https://doi.org/10.1080/15502287.2018.1454540
A central-upwind scheme with artificial viscosity for shallow-water flows in channels
Gerardo Hernandez-Duenas and Abdelaziz BeljadidAdvances in Water Resources 96 323 (2016)
https://doi.org/10.1016/j.advwatres.2016.07.021