372 citations · 457 across the 10 of their papers we have counts for
3 papers · 1 filter
p-Multigrid matrix-free discontinuous Galerkin solution strategies for the under-resolved simulation of incompressible turbulent flows
Matteo Franciolini, Lorenzo Botti, Alessandro Colombo +1
In recent years several research efforts focused on the development of high-order discontinuous Galerkin (dG) methods for scale resolving simulations of turbulent flows. Neverthele…
A Hybrid High-Order method for the incompressible Navier--Stokes equations based on Temam's device
Lorenzo Botti, Daniele Di Pietro, Jérôme Droniou
In this work we propose a novel Hybrid High-Order method for the incompressible Navier--Stokes equations based on a formulation of the convective term including Temam's device for…
A Hybrid High-Order discretisation of the Brinkman problem robust in the Darcy and Stokes limits
Lorenzo Botti, Daniele A. Di Pietro, Jérôme Droniou
In this work, we develop and analyse a novel Hybrid High-Order discretisation of the Brinkman problem. The method hinges on hybrid discrete velocity unknowns at faces and elements…