Author(s): Tian Qi; Henk Schuttelaars; Tom De Mulder
Linked Author(s): Tom De Mulder
Keywords: FEM; Idealized model; Perturbation method; Shallow water equations; Tidal inlet
Abstract: This study addresses an idealized model of water motion in a rectangular tidal inlet with a fixed linearly sloping bed, forced by the principal semi-diurnal lunar (M2) tidal constituent at the seaward boundary. The one-dimensional (1D) shallow water equations are solved in the harmonic domain using a perturbation method and finite element method (FEM) for the spatial discretization. To optimize computational efficiency, an error analysis is conducted, applying -refinement (mesh refinement) and -refinement (increasing polynomial order), to identify an efficient combination of mesh size and polynomial order of trial functions for the leading order solution. Results demonstrate that -refinement is a more efficient strategy than -refinement for error reduction.
Year: 2024