Efficient nonlinear hydrodynamic models for wave energy converter design—A scoping study

J Davidson, R Costello - Journal of Marine Science and Engineering, 2020 - mdpi.com
This review focuses on the most suitable form of hydrodynamic modeling for the next
generation wave energy converter (WEC) design tools. To design and optimize a WEC, it is …

A reasoned overview on Boussinesq-type models: the interplay between physics, mathematics and numerics

M Brocchini - Proceedings of the Royal Society A …, 2013 - royalsocietypublishing.org
This paper, which is largely the fruit of an invited talk on the topic at the latest International
Conference on Coastal Engineering, describes the state of the art of modelling by means of …

Nektar++: An open-source spectral/hp element framework

CD Cantwell, D Moxey, A Comerford, A Bolis… - Computer physics …, 2015 - Elsevier
Nektar++ is an open-source software framework designed to support the development of
high-performance scalable solvers for partial differential equations using the spectral/hp …

Boussinesq-type model for energetic breaking waves in fringing reef environments

V Roeber, KF Cheung - Coastal Engineering, 2012 - Elsevier
The steep offshore slope and abrupt transition to a shallow lagoon are conducive to
formation of energetic breaking waves in fringing reef environments. This paper describes …

[PDF][PDF] Local discontinuous Galerkin methods for high-order time-dependent partial differential equations

Y Xu, CW Shu - Communications in Computational Physics, 2010 - global-sci.com
Discontinuous Galerkin (DG) methods are a class of finite element methods using
discontinuous basis functions, which are usually chosen as piecewise polynomials. Since …

Shock-capturing Boussinesq-type model for nearshore wave processes

V Roeber, KF Cheung, MH Kobayashi - Coastal Engineering, 2010 - Elsevier
This paper describes the formulation and validation of a nearshore wave model for tropical
coastal environment. The governing Boussinesq-type equations include the conservative …

On high order ADER discontinuous Galerkin schemes for first order hyperbolic reformulations of nonlinear dispersive systems

S Busto, M Dumbser, C Escalante, N Favrie… - Journal of Scientific …, 2021 - Springer
This paper is on arbitrary high order fully discrete one-step ADER discontinuous Galerkin
schemes with subcell finite volume limiters applied to a new class of first order hyperbolic …

Spectral/hp element methods: Recent developments, applications, and perspectives

H Xu, CD Cantwell, C Monteserin, C Eskilsson… - Journal of …, 2018 - Springer
The spectral/hp element method combines the geometric flexibility of the classical h-type
finite element technique with the desirable numerical properties of spectral methods …

On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows

S Busto, M Dumbser, S Gavrilyuk, K Ivanova - Journal of Scientific …, 2021 - Springer
In this paper we propose a new reformulation of the first order hyperbolic model for unsteady
turbulent shallow water flows recently proposed in Gavrilyuk et al.(J Comput Phys 366: 252 …

A new class of fully nonlinear and weakly dispersive Green–Naghdi models for efficient 2D simulations

D Lannes, F Marche - Journal of Computational Physics, 2015 - Elsevier
We introduce a new class of two-dimensional fully nonlinear and weakly dispersive Green–
Naghdi equations over varying topography. These new Green–Naghdi systems share the …