1 citations · 1 across the 4 of their papers we have counts for
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Positivity-preserving Well-balanced PAMPA Schemes with Global Flux quadrature for One-dimensional Shallow Water Models
Remi Abgrall, Yongle Liu, Mario Ricchiuto
We present a novel hydrostatic and non-hydrostatic equilibria preserving Point-Average-Moment PolynomiAl-interpreted (PAMPA) method for solving the one-dimensional hyperbolic balan…
Shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes
Mirco Ciallella, Elena Gaburro, Marco Lorini +1
In this work we propose a simple but effective high order polynomial correction allowing to enhance the consistency of all kind of boundary conditions for the Euler equations (Diri…
Analytical travelling vortex solutions of hyperbolic equations for validating very high order schemes
Mario Ricchiuto, Davide Torlo
Testing the order of accuracy of (very) high order methods for shallow water (and Euler) equations is a delicate operation and the test cases are the crucial starting point of this…
Hyperbolic balance laws: residual distribution, local and global fluxes
Remi Abgrall, Mario Ricchiuto
This paper describes a class of scheme named "residual distribution schemes" or "fluctuation splitting schemes". They are a generalization of Roe's numerical flux in fluctuation fo…
and adaptation on simplicial meshes using MMG tools
Luca Arpaia, Heloise Beaugendre, Luca Cirrottola +4
We review some recent work on the enhancement and application of both r- and h- adaptation techniques, benefitting of the functionalities of the remeshing platform Mmg: www.mmgtool…