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Artículo
Multilayer shallow water models with locally variable number of layers and semi-implicit time discretization
(Elsevier Inc., 2018)
We propose an extension of the discretization approaches for multilayer shallow water models, aimed at making them more flexible and efficient for realistic applications to coastal flows. A novel discretization approach ...
Artículo
Artículo
Derivation of a Multilayer Approach to Model Suspended Sediment Transport: Application to Hyperpycnal and Hypopycnal Plumes
(Global-Science Press, 2017)
We propose a multi-layer approach to simulate hyperpycnal and hypopycnal plumes in flows with free surface. The model allows to compute the vertical profile of the horizontal and the vertical components of the velocity ...
Artículo
A well-balanced finite volume-augmented lagrangian method for an integrated Herschel-Bulkley model
(Plenum Press, 2012)
We are interested in the derivation of an integrated Herschel-Bulkley model for shallow flows, as well as in the design of a numerical algorithm to solve the resulting equations. The goal is to simulate the evolution of ...
Artículo
Numerical treatment of the loss of hyperbolicity of the two-layer shallow-water system
(Plenum Press, 2011)
In this work, a characterization of the hyperbolicity region for the two layer shallow-water system is proposed and checked. Next, some path-conservative finite volume schemes (see [11]) that can be used even if the system ...
Artículo
A second order pvm flux limiter method. Application to magnetohydrodynamics and shallow stratified flows
(Academic Press, 2014)
In this work we propose a second order flux limiter finite volume method, named PVM-2U-FL, that only uses information of the two external waves of the hyperbolic system. This method could be seen as a natural extension of ...
Artículo
An Efficient Two-Layer Non-hydrostatic Approach for Dispersive Water Waves
(Springer, 2019)
In this paper, we propose a two-layer depth-integrated non-hydrostatic system with improved dispersion relations. This improvement is obtained through three free parameters: two of them related to the representation of ...
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On an Intermediate Field Capturing Riemann solver based on a Parabolic viscosity matrix for the two-layer shallow water system
(Plenum Press, 2011)
The goal of this article is to design a new approximate Riemann solver for the two-layer shallow water system which is fast compared to Roe schemes and accurate compared to Lax-Friedrichs, FORCE, or GFORCE schemes ...
Artículo
On the influence of the thickness of the sediment moving layer in the definition of the bedload transport formula in Exner systems
(Elsevier, 2014)
In this paper we study Exner system and introduce a modified general definition for bedload transport flux. The new formulation has the advantage of taking into account the thickness of the sediment layer which avoids mass ...
Artículo
A multilayer shallow model for dry granular ows with the (I)-rheology: application to granular collapse on erodible beds
(Cambridge University Press, 2016)
In this work we present a multilayer shallow model to approximate the Navier–Stokes equations with the μ(I)μ(I)-rheology through an asymptotic analysis. The main advantages of this approximation are (i) the low cost ...