Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 216
Modelling wave agitation in harbors using high order Bernstein-Bézier finite elements
Saloua El Marri, Abdellah El Kacimi, Nawfel Benatia, Nabil El Moçayd
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 26, 2022
March 03, 2190
April 15, 2190

Abstract: This work deals with a high-order Bernstein-Bézier finite element (FE) discretisation to accurately eval- uate the wave agitation for harbor models based on the linear elliptic mild-slope equation. Unbounded or partially unbounded domains should be dealt with by truncation of the (partially) infinite domain and prescription of an appropriate boundary condition allowing outgoing waves to leave the computa- tional domain without spurious reflection. Due to bathymetric effects, the wave far field is generally not known a priori, and a standard radiation condition can not be applied, ...