Book ChapterDOI
Modelling Wave Interaction with Porous Structures Using Boussinesq Equations
Shagun Agarwal,V. Sriram,K. Murali +2 more
- pp 573-583
TLDR
In this article, a numerical model of the two-dimensional enhanced Boussinesq equations is presented to simulate wave transformations in the near-shore region, where the finite element-based discretisation over unstructured mesh with triangular elements uses mixed linear and quadratic shape functions.Abstract:
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.read more
Citations
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Journal ArticleDOI
Waves in waterways generated by moving pressure field in Boussinesq equations using unstructured finite element model
TL;DR: In this paper , a finite element model for depth integrated form of Boussinesq equations is presented, where the equations are solved on an unstructured triangular mesh using standard Galerkin method with mixed interpolation scheme.
Journal ArticleDOI
Three-dimensional coupling between Boussinesq (FEM) and Navier–Stokes (particle based) models for wave structure interaction
TL;DR: Agarwal et al. as mentioned in this paper presented coupling between a mesh-based finite element model for Boussinesq equations and a meshless local Petrov-Galerkin model for the Navier-Stokes equations in 3D.
References
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Journal ArticleDOI
Verification of numerical wave propagation models for simple harmonic linear water waves
TL;DR: In this article, three models, indicated as the refraction model, the parabolic refraction-diffraction model and the full refractiondiffraction models, are briefly described, together with a comparison of the computational results of these models with measurements in a hydraulic scale model.
Journal ArticleDOI
On the one-dimensional steady and unsteady porous flow equations
Hans F. Burcharth,Ove Andersen +1 more
TL;DR: In this article, the Navier-Stokes equation is applied as a basis for the derivations of porosity in coarse granular media with special concern given to the variation of the flow resistance with the porosity.
Funwave 1.0: Fully Nonlinear Boussinesq Wave Model - Documentation and User's Manual
TL;DR: The documentation provides a description of the governing equations and the numerical scheme used to solve the fully nonlinear Boussinesq model of Wei et al. (1995).
Journal ArticleDOI
Boussinesq-type modelling using an unstructured finite element technique
TL;DR: In this article, a model for solving the two-dimensional enhanced Boussinesq equations is presented, where the model equations are discretised in space using an unstructured finite element technique.
Journal ArticleDOI
Verification of a parabolic equation for propagation of weakly-nonlinear waves
TL;DR: In this paper, the authors used a parabolic equation model for the combined refraction-diffraction of weakly-nonlinear wave propagating through a refractive focus and showed that linear wave propagation models overpredict peak amplitudes in the vicinity of the focus.
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