The paper presents a numerical model of the two-dimensional enhanced Boussinesq equations to simulate wave transformations in the near-shore region. The finite element-based discretisation over unstructured mesh with triangular elements uses mixed linear and quadratic shape functions. The domain integrals are calculated analytically. The model is extended to study flow through porous structures using Darcy velocity, with the energy dissipation within the porous medium modelled through additional laminar and turbulent resistance terms. A single set of empirical constants gives accurate prediction for various stone sizes and porosity. This paper reports the model development and its validation using existing experimental studies. Application of the model is demonstrated by studying the interaction between ship-generated waves in a narrow channel and the porous walls of the channel.
Boussinesq-FEM for large-domains
Publications
Three-dimensional coupling between Boussinesq (FEM) and Navier-Stokes (particle based) models for wave structure interaction
3D coupling between mesh-based potential and particle-based viscous flow models.
Waves in waterways generated by moving pressure field in Boussinesq equations using unstructured finite element model
Simulation of waves generated by moving pressure field using unstructured FEM.
Modelling Wave Interaction with Porous Structures Using Boussinesq Equations
Presenting a FEM model for Madsen form of Boussinesq equations for modelling transformation of ocean waves over variable bathymetry. …
Talks
PhD Seminar I
Problem statement for PhD presented with literature review and research gap.