25 citations · 41 across the 5 of their papers we have counts for
15 papers
Structure preserving hybrid Finite Volume Finite Element method for compressible MHD
Francesco Fambri, Eric Sonnendrücker
In this manuscript we present a novel and efficient numerical method for the compressible viscous and resistive MHD equations for all Mach number regimes. The time-integration stra…
Mass, momentum and energy preserving FEEC and broken-FEEC schemes for the incompressible Navier-Stokes equations
Valentin Carlier, Martin Campos Pinto, Francesco Fambri
In this article we propose two finite element schemes for the Navier-Stokes equations, based on a reformulation that involves differential operators from the de Rham sequence and a…
A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume/finite element scheme for the incompressible MHD equations
F. Fambri, E. Zampa, S. Busto +4
We present a new divergence-free and well-balanced hybrid FV/FE scheme for the incompressible viscous and resistive MHD equations on unstructured mixed-element meshes in 2 and 3 sp…
A novel structure preserving semi-implicit finite volume method for viscous and resistive magnetohydrodynamics
Francesco Fambri
In this work we introduce a novel semi-implicit structure-preserving finite-volume/finite-difference scheme for the viscous and resistive equations of magnetohydrodynamics (MHD) ba…
A new causal general relativistic formulation for dissipative continuum fluid and solid mechanics and its solution with high-order ADER schemes
Ilya Peshkov, Evgeniy Romenski, Francesco Fambri +1
We present a unified causal general relativistic formulation of dissipative and non-dissipative continuum mechanics. The presented theory is the first general relativistic theory t…
On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations
Michael Dumbser, Francesco Fambri, Elena Gaburro +1
In this paper we propose an extension of the generalized Lagrangian multiplier method (GLM) of Munz et al. (JCP 2000, JCP 2002), which was originally conceived for the numerical so…