356 citations · 4.2k across the 89 of their papers we have counts for
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Semi-implicit discontinuous Galerkin methods for the incompressible Navier-Stokes equations on adaptive staggered Cartesian grids
Francesco Fambri, Michael Dumbser
In this paper a new high order semi-implicit discontinuous Galerkin method (SI-DG) is presented for the solution of the incompressible Navier-Stokes equations on staggered space-ti…
Central WENO schemes for hyperbolic conservation laws on fixed and moving unstructured meshes
Michael Dumbser, Walter Boscheri, Matteo Semplice +1
We present a novel arbitrary high order accurate central WENO spatial reconstruction procedure (CWENO) for the solution of nonlinear systems of hyperbolic conservation laws on fixe…
A pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers
Maurizio Tavelli, Michael Dumbser
We propose a new arbitrary high order accurate semi-implicit space-time discontinuous Galerkin (DG) method for the solution of the two and three dimensional compressible Euler and…
A square entropy stable flux limiter for schemes
Claus R. Goetz, Michael Dumbser
We study some theoretical aspects of schemes, which are a novel class of high order accurate reconstruction based discontinuous Galerkin (DG) schemes for hyperbolic conser…
Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: spectral analysis and computational results
M. Dumbser, F. Fambri, I. Furci +3
The goal of this paper is to create a fruitful bridge between the numerical methods for approximating partial differential equations (PDEs) in fluid dynamics and the (iterative) nu…
Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes
Walter Boscheri, Michael Dumbser
We present a new family of high order accurate fully discrete one-step Discontinuous Galerkin (DG) finite element schemes on moving unstructured meshes for the solution of nonlinea…