An unstructured FEM model based on Boussinesq equations and its application to the calculation of multidirectional wave run-up in a cylinder group

DOI10.1016/j.apm.2011.11.044zbMath1252.76047OpenAlexW2064334066MaRDI QIDQ693544

Jin-Xuan Li, Zhong-Bin Sun, Shu-Xue Liu

Publication date: 7 December 2012

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.11.044

zbMATH Keywords

Boussinesq equationsFEMcylinder groupmultidirectional wave

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (5)

Combined hybridizable discontinuous Galerkin (HDG) and Runge-Kutta discontinuous Galerkin (RK-DG) formulations for Green-Naghdi equations on unstructured meshes ⋮ Celeris: a GPU-accelerated open source software with a Boussinesq-type wave solver for real-time interactive simulation and visualization ⋮ Three-dimensional simulations of offshore oil platform in square and diamond arrangements ⋮ Numerical simulation of oblique and multidirectional wave propagation and breaking on steep slope based on FEM model of Boussinesq equations ⋮ A nonlinear rotational, quasi-2DH, numerical model for spilling wave propagation

Cites Work

• Non-hydrostatic finite volume model for non-linear waves interacting with structures
• Modeling fully nonlinear shallow-water waves and their interactions with cylindrical structures
• Wave generation in a computation domain
• Water wave diffraction by a cylinder array. Part 1. Regular waves
• Random Seas and Design of Maritime Structures
• The interaction of waves with arrays of vertical circular cylinders
• A double-layer Boussinesq-type model for highly nonlinear and dispersive waves
• Nonlinear refraction–diffraction of waves in shallow water
• The implementation of normal and/or tangential boundary conditions in finite element codes for incompressible fluid flow
• Higher–order Boussinesq–type equations for surface gravity waves: derivation and analysis
• Wave diffraction by a long array of cylinders
• Trapped modes about multiple cylinders in a channel
• A fully nonlinear Boussinesq model for surface waves. Part 2. Extension to O(kh)⁴
• Boussinesq-type formulations for fully nonlinear and extremely dispersive water waves: derivation and analysis
• A new Boussinesq method for fully nonlinear waves from shallow to deep water
• A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves
• A new approach to high-order Boussinesq models
• Long waves on a beach
• Numerical modelling of multi-directional irregular waves through breakwaters

This page was built for publication: An unstructured FEM model based on Boussinesq equations and its application to the calculation of multidirectional wave run-up in a cylinder group