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physics.flu-dyn2026
A semi-implicit two dimensional solver for a covariant formulation of the shallow water equations
Maurizio Tavelli, Olindo Zanotti
In this paper we combine a flexible covariant formulation of the shallow water equations with the semi-implicit numerical scheme developed over the years by Casulli and collaborato…
physics.flu-dyn2016★ 79 cited
High order ADER schemes for a unified first order hyperbolic formulation of Newtonian continuum mechanics coupled with electro-dynamics
Michael Dumbser, Ilya Peshkov, Evgeniy Romenski +1
In this paper, we propose a new unified first order hyperbolic model of Newtonian continuum mechanics coupled with electro-dynamics. The model is able to describe the behavior of m…
physics.flu-dyn2014
High order numerical simulations of the Richtmyer Meshkov instability in a relativistic fluid
Olindo Zanotti, Michael Dumbser
We study the Richtmyer--Meshkov (RM) instability of a relativistic perfect fluid by means of high order numerical simulations with adaptive mesh refinement (AMR). The numerical sch…