33 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Université de BordeauxFR8 papers
- Centre National de la Recherche ScientifiqueFR7 papers
- Institut de Mathématiques de BordeauxFR7 papers
- Institut Polytechnique de BordeauxFR7 papers
- Institut national de recherche en sciences et technologies du numériqueFR6 papers
- Scuola Internazionale Superiore di Studi AvanzatiIT5 papers
- Centre Inria de l'université de BordeauxFR3 papers
- University of ZurichCH3 papers
- Johannes Gutenberg University MainzDE2 papers
- Sapienza University of RomeIT2 papers
- University of BasilicataIT2 papers
- Arts et MétiersFR1 paper
10 papers
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…
An Arbitrary High Order and Positivity Preserving Method for the Shallow Water Equations
Mirco Ciallella, Lorenzo Micalizzi, Philipp Öffner +1
In this paper, we develop and present an arbitrary high order well-balanced finite volume WENO method combined with the modified Patankar Deferred Correction (mPDeC) time integrati…
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…
UnDiFi-2D: an Unstructured Discontinuity Fitting code for 2D grids
L. Campoli, A. Assonitis, M. Ciallella +3
UnDiFi-2D, an open source (free software) Unstructured-grid, Discontinuity Fitting code, is presented. The aim of UnDiFi-2D is to model gas-dynamic discontinuities in two-dimension…
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,…
Bifurcation from semi-trivial standing waves and ground states for a system of nonlinear Schrödinger equations
Mathieu Colin, Masahito Ohta
We consider a system of nonlinear Schrödinger equations related to the Raman amplification in a plasma. We study the orbital stability and instability of standing waves bifurcating…