A flexible genuinely nonlinear approach for nonlinear wave propagation, breaking and run-up

Filippini, Andrea Gilberto; Καζολέα, Μαρία; Ricchiuto, Mario

doi:10.1016/j.jcp.2016.01.027

Cited by 42 publications

(94 citation statements)

References 66 publications

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“…This is a phase resolving model and up to now this treatment of breaking has only be tested on regular waves [15,22]. It is based on a hybrid BT/NSWE approach [22,46] meaning that when a wave breaking interface occurs, BTEs are turned into NSWE by switching off the dispersive terms.…”

Section: Wave Breakingmentioning

confidence: 99%

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Irregular wave propagation with a 2DH Boussinesq-type model and an unstructured finite volume scheme

Καζολέα¹,

Delis

2018

European Journal of Mechanics - B/Fluids

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HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. Project-Teams CardamomResearch Report n°9008 -December 2016 -24 pages Abstract:The application and validation, with respect to the transformation, breaking and run-up of irregular waves, of an unstructured high-resolution finite volume (FV) numerical solver for the 2D extended Boussinesq-type (BT) equations of Nwogu (1993) is presented. The numerical model is based on the combined FV approximate solution of the BT model and that of the nonlinear shallow water equations (NSWE) when wave breaking emerges. The FV numerical scheme satisfies the desired properties of wellbalancing, for flows over complex bathymetries and in presence of wet/dry fronts, and shock-capturing for an intrinsic representation of wave breaking, that is handled as a shock by the NSWE. Several simulations and comparisons with experimental data show that the model is able to simulate wave height variations, mean water level setup, wave run-up, swash zone oscillations and the generation of near-shore currents with satisfactory accuracy.

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Section: Wave Breakingmentioning

confidence: 99%

“…In previous works [15,22] which studied regular wave breaking over complex bathymetries the value of γ varies from 0.35 to 0.65 and it may be affected by the scale of the wave under consideration.…”

Section: Wave Breakingmentioning

confidence: 99%

Irregular wave propagation with a 2DH Boussinesq-type model and an unstructured finite volume scheme

Καζολέα¹,

Delis

2018

European Journal of Mechanics - B/Fluids

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“…A two steps solution procedure is applied to the system (1)-(3), as described in FILIPPINI et al (2016). It consists in: an elliptic phase (3) in which the source term ϕ is computed by inverting the coercive operator associated to the dispersive effects; an hyperbolic phase in which the flow variables are evolved by solving the Shallow Water equations (1)- (2), with all nonhydrostatic effects accounted for by the source ϕ computed in the elliptic phase.…”

Section: Physical Modelmentioning

confidence: 99%

“…The major challenges that need to be dealt with are the approximation of the complex higher order derivative terms, in respect of the accuracy requirements on the schemes in terms of low dispersion errors. Fully unstructured solvers, allowing for adaptive mesh refinement, have been proposed based either on a hybrid FV/FE approach (FILIPPINI et al, 2016) or on a discontinuous FE approach (DURAN & MARCHE, 2017). Inspired by these works, UHAINA is focused on the application of a FE discretization of the governing equations.…”

Section: Numerical Discretizationmentioning

confidence: 99%

“…Moreover discontinuous FE approach has a compact stencil; a XV èmes Journées Nationales Génie Côtier -Génie Civil La Rochelle, 29 au 31 mai 2018 property which makes it well-suited for parallel computing. Concerning the discretization of the elliptic phase, a second order FE approach is here used, leading for the fully coupled scheme to a phase accuracy very close to that of a fourth order FD method, as stated in the works of FILIPPINI et al (2016) and DURAN & MARCHE (2017).…”

Section: Numerical Discretizationmentioning

confidence: 99%

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UHAINA : A parallel high performance unstructured adaptive near-shore wave model

Filippini¹,

Brye²,

Perrier³

et al. 2018

XVèmes Journées, La Rochelle

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Abstract:UHAINA is a new phase-resolving free surface wave model for coastal engineering problems. It is based on the most advanced and recent contributions in coastal modelling from the french institutes EPOC, IMAG, IMB, and INRIA BSO. It solves a non-classical version of the depth-integrated fully-nonlinear and weakly-dispersive equations of Green-Naghdi, which allows an efficient numerical implementation. UHAINA relies on libraries developed at the INRIA BSO center, such as AeroSol for its hydrodynamic core, and PaMPA and SCOTCH to handle data management for distributed memory parallel computation. The use of these libraries, in particular AeroSol, offers a wide range of possibilities including arbitrary high-order finite element discretizations, hybrid meshes (structured and unstructured), as well as an advanced programming environment specially designed by the purpose of performance and HPC. These properties will lead in the coming years to the release of a new efficient and robust open source wave modelling platform, available for a large community of users and very suitable for practical coastal applications.

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High‐Order Methods for CFD

Abgrall

Ricchiuto²

2017

Encyclopedia of Computational Mechanics Second Edition

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We provide a review of high‐order methods for computational fluid dynamics (CFD). Besides recalling some classical methods, we show a framework that, on one hand, allows us to see and work with these methods under a different light, and, on the other, provides a different path to construct numerical methods for flow equations. In particular, we focus on residual‐based techniques and residual distribution methods as a framework to construct schemes of arbitrary order.

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A flexible genuinely nonlinear approach for nonlinear wave propagation, breaking and run-up

Cited by 42 publications

References 66 publications

Irregular wave propagation with a 2DH Boussinesq-type model and an unstructured finite volume scheme

Irregular wave propagation with a 2DH Boussinesq-type model and an unstructured finite volume scheme

UHAINA : A parallel high performance unstructured adaptive near-shore wave model

High‐Order Methods for CFD

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