Abstract
This article attempts to solve shallow water equations based on the natural element method (NEM). The foundation of the NEM method is based on the natural neighbour interpolation, and, in this article, the Sibson interpolation is used. Moreover, the nodal integration is applied for discretising the governing equations. The proposed method is validated by three 2D shallow water test cases, including (1) supercritical flow in converged channel, (2) subcritical flow in sudden expansion and (3) inflow jet into the main channel, and then compared with the experimental data. In addition, in order to evaluate the obtained results, the outcomes of the models are compared with the results of the conventional finite volume method (FVM). The results are evaluated by NRMSE and relative error criteria. In general, results indicate that the proposed NEM method is slightly superior to the FVM.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: European Journal of Environmental and Civil Engineering
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
