27 citations · 96 across the 15 of their papers we have counts for
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math.NA2024★ 21 cited
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,…
math.NA2024★ 6 cited
A high-order, fully well-balanced, unconditionally positivity-preserving finite volume framework for flood simulations
Mirco Ciallella, Lorenzo Micalizzi, Victor Michel-Dansac +2
In this work, we present a high-order finite volume framework for the numerical simulation of shallow water flows. The method is designed to accurately capture complex dynamics inh…