133 citations · 1.1k across the 49 of their papers we have counts for
7 papers · 1 filter
A geometrically and thermodynamically compatible finite volume scheme for continuum mechanics on unstructured polygonal meshes
Walter Boscheri, Raphael Loubére, Jean-Philippe Braeunig +1
We present a novel Finite Volume (FV) scheme on unstructured polygonal meshes that is provably compliant with the Second Law of Thermodynamics and the Geometric Conservation Law (G…
A high order accurate space-time trajectory reconstruction technique for quantitative particle trafficking analysis
Eloina Corradi, Maurizio Tavelli, Marie-Laure Baudet +1
The study of moving particles (e.g. molecules, virus, vesicles, organelles, or whole cells) is crucial to decipher a plethora of cellular mechanisms within physiological and pathol…
Nonconforming Virtual Element basis functions for space-time Discontinuous Galerkin schemes on unstructured Voronoi meshes
Walter Boscheri, Giulia Bertaglia
We introduce a new class of Discontinuous Galerkin (DG) methods for solving nonlinear conservation laws on unstructured Voronoi meshes that use a nonconforming Virtual Element basi…
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…
A well-balanced semi-implicit IMEX finite volume scheme for ideal Magnetohydrodynamics at all Mach numbers
Claudius Birke, Walter Boscheri, Christian Klingenberg
We propose a second-order accurate semi-implicit and well-balanced finite volume scheme for the equations of ideal magnetohydrodynamics (MHD) including gravitational source terms.…
A new thermodynamically compatible finite volume scheme for Lagrangian gas dynamics
Walter Boscheri, Michael Dumbser, Pierre-Henri Maire
The equations of Lagrangian gas dynamics fall into the larger class of overdetermined hyperbolic and thermodynamically compatible (HTC) systems of partial differential equations. T…
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…