Simone Chiocchetti
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View article: Discontinuous Galerkin schemes for hyperbolic systems in non-conservative variables: quasi-conservative formulation with subcell finite volume corrections
Discontinuous Galerkin schemes for hyperbolic systems in non-conservative variables: quasi-conservative formulation with subcell finite volume corrections Open
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 …
View article: High order well-balanced Arbitrary-Lagrangian-Eulerian ADER discontinuous Galerkin schemes on general polygonal moving meshes
High order well-balanced Arbitrary-Lagrangian-Eulerian ADER discontinuous Galerkin schemes on general polygonal moving meshes Open
In this work, we present a novel family of high order accurate numerical schemes for the solution of hyperbolic partial differential equations (PDEs) which combines several geometrical and physical structure preserving properties. First, w…
View article: Numerical Simulation of Phase Transition with the Hyperbolic Godunov-Peshkov-Romenski Model
Numerical Simulation of Phase Transition with the Hyperbolic Godunov-Peshkov-Romenski Model Open
In this paper, a thermodynamically consistent solution of the interfacial Riemann problem for the first-order hyperbolic continuum model of Godunov, Peshkov and Romenski (GPR model) is presented. In the presence of phase transition, interf…
View article: A Reinforcement Learning Based Slope Limiter for Second‐Order Finite Volume Schemes
A Reinforcement Learning Based Slope Limiter for Second‐Order Finite Volume Schemes Open
Hyperbolic equations admit discontinuities in the solution and thus adequate and physically sound numerical schemes are necessary for their discretization. Second‐order finite volume schemes are a popular choice for the discretization of h…
View article: An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous flow with surface tension
An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous flow with surface tension Open
In this paper, we present a semi-implicit numerical solver for a first order hyperbolic formulation of two-phase flow with surface tension and viscosity. The numerical method addresses several complexities presented by the PDE system in co…
View article: High-order Arbitrary-Lagrangian-Eulerian schemes on crazy moving Voronoi meshes
High-order Arbitrary-Lagrangian-Eulerian schemes on crazy moving Voronoi meshes Open
Hyperbolic partial differential equations (PDEs) cover a wide range of interesting phenomena, from human and hearth-sciences up to astrophysics: this unavoidably requires the treatment of many space and time scales in order to describe at …
View article: A unified model for thermally-activated fault weakening during nonlinear dynamic earthquake rupture and off-fault fracturing in 3D diffuse fault zones
A unified model for thermally-activated fault weakening during nonlinear dynamic earthquake rupture and off-fault fracturing in 3D diffuse fault zones Open
<div> <div> <div> <div> <p>Earthquake fault zones are more complex, both geometrically and rheologically, than an idealized infinitely thin plane embedded in linear elastic material. Field and laboratory measu…
View article: A cell-centered implicit-explicit Lagrangian scheme for a unified model\n of nonlinear continuum mechanics on unstructured meshes
A cell-centered implicit-explicit Lagrangian scheme for a unified model\n of nonlinear continuum mechanics on unstructured meshes Open
A cell-centered implicit-explicit updated Lagrangian finite volume scheme on\nunstructured grids is proposed for a unified first order hyperbolic formulation\nof continuum fluid and solid mechanics. The scheme provably respects the stiff\n…
View article: Simulation of non-Newtonian viscoplastic flows with a unified first order hyperbolic model and a structure-preserving semi-implicit scheme
Simulation of non-Newtonian viscoplastic flows with a unified first order hyperbolic model and a structure-preserving semi-implicit scheme Open
We discuss the applicability of a unified hyperbolic model for continuum fluid and solid mechanics to modeling non-Newtonian flows and in particular to modeling the stress-driven solid-fluid transformations in flows of viscoplastic fluids,…
View article: A unified first-order hyperbolic model for nonlinear dynamic rupture processes in diffuse fracture zones
A unified first-order hyperbolic model for nonlinear dynamic rupture processes in diffuse fracture zones Open
Earthquake fault zones are more complex, both geometrically and rheologically, than an idealized infinitely thin plane embedded in linear elastic material. To incorporate nonlinear material behaviour, natural complexities and multi-physics…
View article: A unified first order hyperbolic model for nonlinear dynamic rupture processes in diffuse fracture zones
A unified first order hyperbolic model for nonlinear dynamic rupture processes in diffuse fracture zones Open
<p>Earthquake fault zones are more complex, both geometrically and rheologically, than an idealised infinitely thin plane embedded in linear elastic material. &#160;Field and laboratory measurements reveal complex fault zone stru…
View article: Modeling solid-fluid transformations in non-Newtonian viscoplastic flows with a unified flow theory.
Modeling solid-fluid transformations in non-Newtonian viscoplastic flows with a unified flow theory. Open
We discuss the applicability of a unified hyperbolic model for continuum fluid and solid mechanics to modeling non-Newtonian flows and in particular to modeling the stress-driven solid-fluid transformations in flows of viscoplastic fluids,…
View article: High Order ADER Schemes for Continuum Mechanics
High Order ADER Schemes for Continuum Mechanics Open
In this paper we first review the development of high order ADER finite volume and ADER discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in 1999 by Toro et al. We show the modern variant of ADER based on …