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All issues Volume 680 (2025) E3S Web Conf., 680 (2025) 00021 References
Open Access
Issue
E3S Web Conf.
Volume 680, 2025
The 4th International Conference on Energy and Green Computing (ICEGC’2025)
Article Number 00021
Number of page(s) 15
DOI https://doi.org/10.1051/e3sconf/202568000021
Published online 19 December 2025
  1. P. Glaister, « A numerical scheme for two-dimensional, open channel flows with non-rectangular geometries », Int. J. Eng. Sci., vol. 31, no 7, p. 1003‑1011, juill. 1993, doi: 10.1016/0020-7225(93)90108-7. [Google Scholar]
  2. P. Glaister, « Prediction of steady, supercritical, free-surface flow », Int. J. Eng. Sci., vol. 33, no 6, p. 845‑854, mai 1995, doi: 10.1016/0020-7225(94)00095-2. [Google Scholar]
  3. K. S. Erduran, V. Kutija, et C. J. M. Hewett, « Performance of finite volume solutions to the shallow water equations with shock-capturing schemes », Int. J. Numer. Methods Fluids, vol. 40, no 10, p. 1237‑1273, déc. 2002, doi: 10.1002/fld.402. [Google Scholar]
  4. D. H. Zhao, H. W. Shen, G. Q. Tabios, J. S. Lai, et W. Y. Tan, « Finite‐Volume Two‐Dimensional Unsteady‐Flow Model for River Basins », J. Hydraul. Eng., vol. 120, no 7, p. 863‑883, juill. 1994, doi: 10.1061/(ASCE)0733-9429(1994)120:7(863). [Google Scholar]
  5. K. S. Erduran, V. Kutija, et C. R. Macalister, « Finite volume solution to integrated shallow surface-saturated groundwater flow », Int. J. Numer. Methods Fluids, vol. 49, no 7, p. 763‑783, nov. 2005, doi: 10.1002/fld.1030. [Google Scholar]
  6. S. Chippada, C. N. Dawson, M. L. Martinez, et M. F. Wheeler, « A Godunov-type finite volume method for the system of Shallow water equations », Comput. Methods Appl. Mech. Eng., vol. 151, no 1‑2, p. 105‑129, janv. 1998, doi: 10.1016/S0045-7825(97)00108-4. [Google Scholar]
  7. P.-W. Li, C.-M. Fan, et J. K. Grabski, « A meshless generalized finite difference method for solving shallow water equations with the flux limiter technique », Eng. Anal. Bound. Elem., vol. 131, p. 159‑173, oct. 2021, doi: 10.1016/j.enganabound.2021.06.022. [Google Scholar]
  8. K. Hu, C. G. Mingham, et D. M. Causon, « A bore-capturing finite volume method for open-channel flows », Int. J. Numer. Methods Fluids, vol. 28, no 8, p. 1241‑1261, nov. 1998, doi: 10.1002/(SICI)1097-0363(19981130)28:8<1241::AID-FLD772>3.0.CO;2-2. [Google Scholar]
  9. E. Chaabelasri, « Numerical Simulation of Dam Break Flows Using a Radial Basis Function Meshless Method with Artificial Viscosity », Model. Simul. Eng., vol. 2018, p. 1‑11, 2018, doi: 10.1155/2018/4245658. [CrossRef] [Google Scholar]
  10. P.-W. Li et C.-M. Fan, « Generalized finite difference method for two-dimensional shallow water equations », Eng. Anal. Bound. Elem., vol. 80, p. 58‑71, juill. 2017, doi: 10.1016/j.enganabound.2017.03.012. [Google Scholar]
  11. N.-J. Wu, C. Chen, et T.-K. Tsay, « Application of weighted-least-square local polynomial approximation to 2D shallow water equation problems », Eng. Anal. Bound. Elem., vol. 68, p. 124‑134, juill. 2016, doi: 10.1016/j.enganabound.2016.04.010. [Google Scholar]
  12. Y.-C. Hon, K. F. Cheung, X.-Z. Mao, et E. J. Kansa, « Multiquadric Solution for Shal-low Water Equations », J. Hydraul. Eng., vol. 125, no 5, p. 524‑533, mai 1999, doi: 10.1061/(ASCE)0733-9429(1999)125:5(524). [Google Scholar]
  13. B. Marwane et C. Elmiloud, « Numerical solution by meshless method of a fully-coupled bed load and shallow water flows », E3S Web Conf., vol. 336, p. 00003, 2022, doi: 10.1051/e3sconf/202233600003. [CrossRef] [EDP Sciences] [PubMed] [Google Scholar]
  14. E. J. Kansa, « Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—I surface approximations and partial derivative estimates », Comput. Math. Appl., vol. 19, no 8‑9, p. 127‑145, 1990, doi: 10.1016/0898-1221(90)90270-T. [Google Scholar]
  15. M. Al Nuwairan et E. Chaabelasri, « Balanced Meshless Method for Numerical Simulation of Pollutant Transport by Shallow Water Flow over Irregular Bed: Application in the Strait of Gibraltar », Appl. Sci., vol. 12, no 14, p. 6849, juill. 2022, doi: 10.3390/app12146849. [Google Scholar]
  16. E. Chaabelasri, M. Jeyar, et A. G. L. Borthwick, « Explicit radial basis function collocation method for computing shallow water flows », Procedia Comput. Sci., vol. 148, p. 361‑370, 2019, doi: 10.1016/j.procs.2019.01.044. [Google Scholar]
  17. B. Fornberg et E. Lehto, « Stabilization of RBF-generated finite difference methods for convective PDEs », J. Comput. Phys., vol. 230, no 6, p. 2270‑2285, mars 2011, doi: 10.1016/j.jcp.2010.12.014. [Google Scholar]
  18. N. Flyer, E. Lehto, S. Blaise, G. B. Wright, et A. St-Cyr, « A guide to RBF-generated finite differences for nonlinear transport: Shallow water simulations on a sphere », J. Comput. Phys., vol. 231, no 11, p. 4078‑4095, juin 2012, doi: 10.1016/j.jcp.2012.01.028. [Google Scholar]
  19. S. N. Kuiry, K. Pramanik, et D. Sen, « Finite Volume Model for Shallow Water Equations with Improved Treatment of Source Terms », J. Hydraul. Eng., vol. 134, no 2, p. 231‑242, févr. 2008, doi: 10.1061/(ASCE)0733-9429(2008)134:2(231). [Google Scholar]
  20. S. Murty Bhallamudi et M. Hanif Chaudhry, « Computation of flows in open-channel transitions », J. Hydraul. Res., vol. 30, no 1, p. 77‑93, janv. 1992, doi: 10.1080/00221689209498948. [Google Scholar]
  21. T. Molls et M. H. Chaudhry, « Depth-Averaged Open-Channel Flow Model », J. Hydraul. Eng., vol. 121, no 6, p. 453‑465, juin 1995, doi: 10.1061/(ASCE)0733-9429(1995)121:6(453). [Google Scholar]
  22. X. Ying et S. S. Y. Wang, « Improved implementation of the HLL approximate Riemann solver for one-dimensional open channel flows », J. Hydraul. Res., vol. 46, no 1, p. 21‑34, janv. 2008, doi: 10.1080/00221686.2008.9521840. [Google Scholar]
  23. Y. Xing, « High order finite volume WENO schemes for the shallow water flows through channels with irregular geometry », J. Comput. Appl. Math., vol. 299, p. 229‑244, juin 2016, doi: 10.1016/j.cam.2015.11.042. [Google Scholar]
  24. G. Yao, C. S. Chen, W. Li, et D. L. Young, « The localized method of approximated particular solutions for near-singular two-and three-dimensional problems », Comput. Math. Appl., vol. 70, no 12, p. 2883‑2894, déc. 2015, doi: 10.1016/j.camwa.2015.09.028. [Google Scholar]
  25. S. A. Sarra, « A local radial basis function method for advection–diffusion–reaction equations on complexly shaped domains », Appl. Math. Comput., vol. 218, no 19, p. 9853‑9865, juin 2012, doi: 10.1016/j.amc.2012.03.062. [Google Scholar]

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