Zobrazeno 1 - 10
of 433
pro vyhledávání: '"Boscheri, A."'
In this paper, we explore the use of the Virtual Element Method concepts to solve scalar and system hyperbolic problems on general polygonal grids. The new schemes stem from the active flux approach \cite{AF1}, which combines the usage of point value
Externí odkaz:
http://arxiv.org/abs/2412.01341
This paper contributes to the recent investigations of Lagrangian methods based on Voronoi meshes. The aim is to design a new conservative numerical scheme that can simulate complex flows and multi-phase problems with more accuracy than SPH (Smoothed
Externí odkaz:
http://arxiv.org/abs/2410.14564
We present a novel quasi-conservative arbitrary high order accurate ADER discontinuous Galerkin (DG) method allowing to efficiently use a non-conservative form of the considered partial differential system, so that the governing equations can be solv
Externí odkaz:
http://arxiv.org/abs/2406.15644
We present a novel high order semi-implicit hybrid finite volume/virtual element numerical scheme for the solution of compressible flows on Voronoi tessellations. The method relies on the flux splitting of the compressible Navier-Stokes equations int
Externí odkaz:
http://arxiv.org/abs/2405.13441
We introduce Semi-Implicit Lagrangian Voronoi Approximation (SILVA), a novel numerical method for the solution of the incompressible Euler and Navier-Stokes equations, which combines the efficiency of semi-implicit time marching schemes with the robu
Externí odkaz:
http://arxiv.org/abs/2405.04116
Autor:
Boscheri, Walter, Thomann, Andrea
We present a divergence-free semi-implicit finite volume scheme for the simulation of the ideal magnetohydrodynamics (MHD) equations which is stable for large time steps controlled by the local transport speed at all Mach and Alfv\'en numbers. An ope
Externí odkaz:
http://arxiv.org/abs/2403.04517
Autor:
Tavelli, M., Boscheri, W.
In this paper we present a new high order semi-implicit DG scheme on two-dimensional staggered triangular meshes applied to different nonlinear systems of hyperbolic conservation laws such as advection-diffusion models, incompressible Navier-Stokes e
Externí odkaz:
http://arxiv.org/abs/2401.17806
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 (GCL) at the same time. The governing equations are provided by a subset
Externí odkaz:
http://arxiv.org/abs/2312.03136
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 pathological conditions. Powerful live-imaging approaches enable life scient
Externí odkaz:
http://arxiv.org/abs/2311.05735
Autor:
Boscheri, Walter, Bertaglia, Giulia
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 basis defined within each polygonal control volume. The basis functions ar
Externí odkaz:
http://arxiv.org/abs/2309.02882