activity
20182023
most citedWell balanced finite volume schemes for shallow water equations on manifolds

8 citations · 16 across the 4 of their papers we have counts for

collaborators

5 papers

math.NA2023

Arbitrary-Lagrangian-Eulerian finite volume IMEX schemes for the incompressible Navier-Stokes equations on evolving Chimera meshes

Michele Giuliano Carlino, Walter Boscheri

In this article we design a finite volume semi-implicit IMEX scheme for the incompressible Navier-Stokes equations on evolving Chimera meshes. We employ a time discretization techn…

math.NA2023★ 8 cited

A new family of semi-implicit Finite Volume / Virtual Element methods for incompressible flows on unstructured meshes

Walter Boscheri, Andrea Chiozzi, Michele Giuliano Carlino +1

We introduce a new family of high order accurate semi-implicit schemes for the solution of non-linear hyperbolic partial differential equations on unstructured polygonal meshes. Th…

math.NA2022

Second Order Finite Volume Scheme for Shallow Water Equations on Manifolds

Michele Giuliano Carlino, Elena Gaburro

In this work, we propose a second-order accurate scheme for shallow water equations in general covariant coordinates over manifolds. In particular, the covariant parametrization in…

math.NA2022★ 8 cited

Well balanced finite volume schemes for shallow water equations on manifolds

Michele Giuliano Carlino, Elena Gaburro

In this paper we propose a novel second-order accurate well balanced scheme for shallow water equations in general covariant coordinates over manifolds. In our approach, once the g…

math.NA2018

Model reduction by separation of variables: a comparison between Hierarchical Model reduction and Proper Generalized Decomposition

Simona Perotto, Michele Giuliano Carlino, Francesco Ballarin

Hierarchical Model reduction and Proper Generalized Decomposition both exploit separation of variables to perform a model reduction. After setting the basics, we exemplify these te…