A 2D SWE meshless model with fictitious water level at dry nodes

Abstract

In this study, a two-dimensional shallow-water-equation numerical model is developed for simulating free surface water flows with internal moving wet/dry front boundaries. It is based on the Eulerian aspect and meshless approach. The predictor-corrector process is used for the time marching. The spatial derivatives of physical quantities are computed using the local polynomial approximation with the weighted-least-squares approach. A formula for specifying the fictitious water level, which does not exist physically, at dry nodes is proposed. This is the main novelty of the present study and it significantly reduces computation time compared with the authors’ previous work. Four dam break test cases are employed to validate the capability of the present model.

Keywords:

• Fictitious water level
• local polynomial approximation
• meshless
• shallow water equations
• weighted-least-squares
• wet/dry fronts

Acknowledgements

The authors are grateful to Professor Soares-Frazão for providing the topography of the Toce Valley and their observed data.

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.

Additional information

Funding

The authors would like to thank the financial support from the Ministry of Science and Technology, Taiwan (grant numbers: MOST-107-2221-E-415-005-MY2).