Skip to main content

Research Repository

Advanced Search

Modeling swash zone hydrodynamics using discontinuous galerkin finite-element method

Aboulatta, W.; Dodd, N.; Briganti, R.; Kasem, T. H. M. A.; Zaki, M. A. F.

Modeling swash zone hydrodynamics using discontinuous galerkin finite-element method Thumbnail


Authors

W. Aboulatta

NICHOLAS DODD NICHOLAS.DODD@NOTTINGHAM.AC.UK
Professor of Coastal Dynamics

T. H. M. A. Kasem

M. A. F. Zaki



Abstract

A two-dimensional numerical model for the solution of the nonlinear shallow water equations (NSWEs) using the discontinuous Galerkin finite element method (DGFEM) is presented. A new adaptation of the thin-film approach is developed for the wetting/drying treatment. The model is applied to a number of test cases that can be characterized as swash flows, or as cases that are particularly useful for swash flow modeling. The DGFEM model shows robustness and provides accurate predictions of water depth, velocities, and shoreline movement. For the case of bore collapse on a plane beach the model performs well against a state-of-the-art finite volume swash code. The new wetting/drying algorithm is tested against a previous algorithm within the same framework for simulating a solitary wave propagating on a beach with bottom friction, showing a noticeable improvement in the shoreline prediction. The model is also tested against a more subtle test case, including generation of subharmonic edge waves, in order to test the effectiveness of DGFEM in reproducing second-order effects. The model simulates the excitation and development of the subharmonic edge waves when compared with the analytical solutions in the literature. Overall, it is shown here for the first time that the DGFEM technique can be used to simulate accurately a wide range of swash zone flows and therefore swash zone processes.

Citation

Aboulatta, W., Dodd, N., Briganti, R., Kasem, T. H. M. A., & Zaki, M. A. F. (2021). Modeling swash zone hydrodynamics using discontinuous galerkin finite-element method. Journal of Waterway, Port, Coastal, and Ocean Engineering, 147(2), Article 04020051. https://doi.org/10.1061/%28ASCE%29WW.1943-5460.0000618

Journal Article Type Article
Acceptance Date Sep 1, 2020
Online Publication Date Nov 19, 2020
Publication Date 2021-03
Deposit Date Sep 9, 2020
Publicly Available Date Nov 19, 2020
Journal Journal of Waterway, Port, Coastal and Ocean Engineering
Print ISSN 0733-950X
Electronic ISSN 1943-5460
Publisher American Society of Civil Engineers
Peer Reviewed Peer Reviewed
Volume 147
Issue 2
Article Number 04020051
DOI https://doi.org/10.1061/%28ASCE%29WW.1943-5460.0000618
Keywords Ocean Engineering; Water Science and Technology; Civil and Structural Engineering
Public URL https://nottingham-repository.worktribe.com/output/4892175
Publisher URL https://ascelibrary.org/journal/jwped5
Additional Information This material may be downloaded for personal use only. Any other use requires prior permission of the American Society of Civil Engineers. This material may be found at https://ascelibrary.org/doi/10.1061/%28ASCE%29WW.1943-5460.0000618.

Files





You might also like



Downloadable Citations