356 citations · 4.2k across the 89 of their papers we have counts for
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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…
High-order ADER Discontinuous Galerkin schemes for a symmetric hyperbolic model of compressible barotropic two-fluid flows
Laura Río-Martín, Michael Dumbser
This paper presents a high-order discontinuous Galerkin finite element method to solve the barotropic version of the conservative symmetric hyperbolic and thermodynamically compati…
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…
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…
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…