output
20112022
most citedHigh order entropy preserving ADER scheme

33 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2021Show all

5 papers · 1 filter

math.NA2021★ 10 cited

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…

math.NA2021★ 23 cited

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…

math.NA2021★ 13 cited

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…

physics.flu-dyn2021★ 2 cited

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…

math.NA2021★ 1 cited

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…