33 citations · 113 across the 14 of their papers we have counts for
15 papers
On the involution preserving properties of semi-discrete Active Flux methods on simplex
Remi Abgrall, Yongle Liu, Mario Ricchiuto
We study the involution-preserving properties of the Active Flux method on unstructured triangular meshes. Two model problems are considered: the two-dimensional linear acoustic sy…
Positivity-preserving Well-balanced PAMPA Schemes with Global Flux quadrature for One-dimensional Shallow Water Models
Remi Abgrall, Yongle Liu, Mario Ricchiuto
We present a novel hydrostatic and non-hydrostatic equilibria preserving Point-Average-Moment PolynomiAl-interpreted (PAMPA) method for solving the one-dimensional hyperbolic balan…
Extrapolated Shock Tracking: Bridging shock-fitting and embedded boundary methods
Mirco Ciallella, Mario Ricchiuto, Renato Paciorri +1
We propose a novel approach to approximate numerically shock waves. The method combines the unstructured shock-fitting approach developed in the last decade by some of the authors,…
Novel well-balanced continuous interior penalty stabilizations
Lorenzo Micalizzi, Mario Ricchiuto, Rémi Abgrall
In this work, the high order accuracy and the well-balanced (WB) properties of some novel continuous interior penalty (CIP) stabilizations for the Shallow Water (SW) equations are…
Shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes
Mirco Ciallella, Elena Gaburro, Marco Lorini +1
In this work we propose a simple but effective high order polynomial correction allowing to enhance the consistency of all kind of boundary conditions for the Euler equations (Diri…
Spectral analysis of high order continuous FEM for hyperbolic PDEs on triangular meshes: influence of approximation, stabilization, and time-stepping
Sixtine Michel, Davide Torlo, Mario Ricchiuto +1
In this work we study various continuous finite element discretization for two dimensional hyperbolic partial differential equations, varying the polynomial space (Lagrangian on eq…
High order entropy preserving ADER scheme
Elena Gaburro, Philipp Öffner, Mario Ricchiuto +1
In this paper, we develop a fully discrete entropy preserving ADER-Discontinuous Galerkin (ADER-DG) method. To obtain this desired result, we equip the space part of the method wit…
Arbitrary High Order WENO Finite Volume Scheme with Flux Globalization for Moving Equilibria Preservation
Mirco Ciallella, Davide Torlo, Mario Ricchiuto
In the context of preserving stationary states, e.g. lake at rest and moving equilibria, a new formulation of the shallow water system, called Flux Globalization has been introduce…
Model order reduction strategies for weakly dispersive waves
Davide Torlo, Mario Ricchiuto
We focus on the numerical modelling of water waves by means of depth averaged models. We consider in particular PDE systems which consist in a nonlinear hyperbolic model plus a lin…
Analytical travelling vortex solutions of hyperbolic equations for validating very high order schemes
Mario Ricchiuto, Davide Torlo
Testing the order of accuracy of (very) high order methods for shallow water (and Euler) equations is a delicate operation and the test cases are the crucial starting point of this…
Hyperbolic balance laws: residual distribution, local and global fluxes
Remi Abgrall, Mario Ricchiuto
This paper describes a class of scheme named "residual distribution schemes" or "fluctuation splitting schemes". They are a generalization of Roe's numerical flux in fluctuation fo…
and adaptation on simplicial meshes using MMG tools
Luca Arpaia, Heloise Beaugendre, Luca Cirrottola +4
We review some recent work on the enhancement and application of both r- and h- adaptation techniques, benefitting of the functionalities of the remeshing platform Mmg: www.mmgtool…
Extrapolated DIscontinuity Tracking for complex 2D shock interactions
Mirco Ciallella, Mario Ricchiuto, Renato Paciorri +1
A new shock-tracking technique that avoids re-meshing the computational grid around the moving shock-front was recently proposed by the authors (Ciallella et al., 2020). The method…
Spectral analysis of continuous FEM for hyperbolic PDEs: influence of approximation, stabilization, and time-stepping
Sixtine Michel, Davide Torlo, Mario Ricchiuto +1
We study continuous finite element dicretizations for one dimensional hyperbolic partial differential equations. The main contribution of the paper is to provide a fully discrete s…
Implementation and Evaluation of Breaking Detection Criteria for a Hybrid Boussinesq Model
Paola Bacigaluppi, Mario Ricchiuto, Philippe Bonneton
The aim of the present work is to develop a model able to represent the propagation and transformation of waves in nearshore areas. The focus is on the phenomena of wave breaking,…