2010/01/01 by Y. Alhuri, Ahmed Naji, Driss Ouazar +1 · 1 citation
Engineering · Mathematics · #Numerical methods in engineering #Fluid Dynamics Simulations and Interactions #Geotechnical Engineering and Underground Structures #Collocation (remote sensing) #Computation #Grid #Scale (ratio) #Radial basis function #Regularized meshless method #Collocation method #Waves and shallow water #Mathematics #Applied mathematics #Singular boundary method #Mathematical optimization #Computer science #Mathematical analysis #Geology #Geometry #Algorithm #Engineering #Physics #Structural engineering #Differential equation #Remote sensing
paper · pdf · doi:10.1051/mmnp/20105701
openalex publication_date 2010/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
2D shallow water equations with depth-averaged k−ε model is considered. A meshless method based on multiquadric radial basis functions is described. This methods is based on the collocation formulation and does not require the generation of a grid and any integral evaluation. The application of this method to a flow in horizontal channel, taken as an experimental device, is presented. The results of computations are compared with experimental data and are found to be satisfactory