Available onlin Scie Procedia Comp 1877-0509© 2019 The Authors. Published by Elsevier B This is an open access article under the CC BY-NC-ND Peer-review under responsibility of the scientific committee o Second International Conferenc Explicit radial basis fun sh Elmiloud Chaabelasri a,b* , a LME, Faculté des sc b ENSA, BP 03, Ajdi c School of Engineering, The Univ Abstract A simple Explicit Radial Basis Function (RBF) frictional topography involving wetting and dry derivative operators. Next, we obtain numerica approximate the spatial derivative of the differen temporal derivative of the differential equation. T experiments including dam-break and open chann wet-dry fronts over irregular bed topography. Prom © 2019 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-N Peer-review under responsibility of the scientific Data Sciences (ICDS 2018). Keywords: Radial basis function, Shallow water equatio 1. Introduction In the past two decades, many numerical the solution of the shallow water equations difference, finite element, and finite volu computational cells and minimize the comp example, significant developments have occ Roe, HLL, or HLLC schemes see e.g. [1,2 SWEs. However, node connectivity is an ne at www.sciencedirect.com enceDirect puter Science 00 (2019) 000–000 www.elsevier. B.V. D license (http://creativecommons.org/licenses/by-nc-nd/3.0/) of the Second International Conference on Intelligent Computing in Data S ce on Intelligent Computing in Data Sciences (ICDS nction collocation method for com hallow water flows , Mohammed Jeyar a , Alistair G.L. Borthw ciences,Univertsité Mohamed premier, Oujda, Morocco ir Al-Hoceima,Univertsité Mohamed premier, Morocco versity of Edinburgh, The King’s Buildings, Edinburgh EH9 3JL, UK is used to solve the shallow water equations (SWEs) for f ying. At first we construct the MQ-RBF interpolation cor al schemes to solve the SWEs, by using the gradient o ntial equation and a third-order explicit Runge-Kutta scheme Then, we verify our scheme against several idealized one-dim nel flows over non-uniform beds (involving shock wave be omising results are obtained. NC-ND license(http://creativecommons.org/licenses/by-nc-nd committee of the Second International Conference on Intel ons, Friction, Irregular bed, Wetting and drying; schemes have been proposed based on non-linear con s (SWEs). High-order, mesh-based numerical schem ume discretizations, have been developed to reduc putational time required to achieve results of suffici curred in the implementation of approximate Rieman 2,3,4,5 and 6]. Such solvers have become very popul n important issue when applying mesh-based nume .com/locate/procedia Sciences (ICDS 2018). S 2018) mputing wick c K flows over irregular, rresponding to space of the interpolant to e to approximate the mensional numerical ehavior), and moving d/3.0/) lligent Computing in nservation laws for mes, utilizing finite ce the number of ient accuracy. For nn solvers, such as lar for solving the erical schemes to