| 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 | |
A Meshless MQ-RBF Approach with Artificial Viscosity for Shock-Resolved Shallow Water Flow Simulation
LPTPME, Faculty of Sciences, University Mohammed the first, Oujda 60000, Morocco
* Corresponding author: marwan.19.bens@gmail.com
In this study, we introduce a meshless computational framework for simulating shallow water flows with shock phenomena using multiquadric radial basis functions (MQ-RBFs). The method approximates spatial derivatives through global collocation without relying on traditional mesh generation. To enhance stability and accurately resolve discontinuities such as hydraulic jumps and oblique shock waves, an artificial viscosity term is incorporated into the momentum equations. Time integration is performed using a second-order Runge-Kutta scheme, offering a balance between accuracy and computational efficiency. The model is validated through several benchmark test cases commonly encountered in hydraulic modeling. Results demonstrate strong agreement with analytical, experimental, and numerical reference solutions, highlighting the method’s robustness and precision in capturing complex flow behavior.
Key words: Meshless Numerical Scheme / Multiquadric Radial Basis Functions / Artificial Viscosity Stabilization / Shock Resolution / Shallow Water Flow Simulation / Runge-Kutta Time Integration / Hydraulic Discontinuities
© The Authors, published by EDP Sciences, 2025
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