33 citations
- Centre National de la Recherche ScientifiqueFR6 papers
- Institut de Mathématiques de BordeauxFR6 papers
- Institut Polytechnique de BordeauxFR6 papers
- Université de BordeauxFR6 papers
- Institut national de recherche en sciences et technologies du numériqueFR5 papers
- Scuola Internazionale Superiore di Studi AvanzatiIT5 papers
- Centre Inria de l'université de BordeauxFR2 papers
- Johannes Gutenberg University MainzDE2 papers
- Sapienza University of RomeIT2 papers
- University of BasilicataIT2 papers
- University of ZurichCH2 papers
- Arts et MétiersFR1 paper
8 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…