85 citations · 427 across the 18 of their papers we have counts for
8 papers · 1 filter
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…
An implicit staggered hybrid finite volume/finite element solver for the incompressible Navier-Stokes equations
Alessia Lucca, Saray Busto, Michael Dumbser
We present a novel fully implicit hybrid finite volume/finite element method for incompressible flows. Following previous works on semi-implicit hybrid FV/FE schemes, the incompres…
Design and analysis of ADER-type schemes for model advection-diffusion-reaction equations
Saray Busto, Eleuterio F. Toro, Maria Elena Vazquez-Cendon
We construct, analyse and assess various schemes of second order of accuracy in space and time for model advection-diffusion-reaction differential equations. The constructed scheme…
A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers
Saray Busto, Michael Dumbser
We present a novel staggered semi-implicit hybrid FV/FE method for the numerical solution of the shallow water equations at all Froude numbers on unstructured meshes. A semi-discre…
A projection hybrid high order finite volume/finite element method for incompressible turbulent flows
Saray Busto, Jose Luis Ferrin, Eleuterio F. Toro +1
In this paper the projection hybrid FV/FE method presented in Busto et al. 2014 is extended to account for species transport equations. Furthermore, turbulent regimes are also cons…
On thermodynamically compatible finite volume schemes for continuum mechanics
Saray Busto, Michael Dumbser, Ilya Peshkov +1
In this paper we present a new family of semi-discrete and fully-discrete finite volume schemes for overdetermined, hyperbolic and thermodynamically compatible PDE systems. In the…
A semi-implicit hybrid finite volume / finite element scheme for all Mach number flows on staggered unstructured meshes
Saray Busto, Laura Río-Martín, María Elena Vázquez-Cendón +1
In this paper a new hybrid semi-implicit finite volume / finite element (FV/FE) scheme is presented for the numerical solution of the compressible Euler and Navier-Stokes equations…
A new thermodynamically compatible finite volume scheme for magnetohydrodynamics
Saray Busto, Michael Dumbser
In this paper we propose a novel thermodynamically compatible finite volume scheme for the numerical solution of the equations of magnetohydrodynamics (MHD) in one and two space di…