372 citations · 457 across the 10 of their papers we have counts for
11 papers
A HHO formulation for variable density incompressible flows where the density is purely advected
Lorenzo Botti, Francesco Carlo Massa
We propose a Hybrid High-Order (HHO) formulation of the incompressible Navier-Stokes equations with variable density that provides exact conservation of volume and, accordingly, pu…
Hybrid High-Order formulations with turbulence modelling capabilities for incompressible flow problems
Lorenzo Botti, Daniele Antonio Di Pietro, Francesco Carlo Massa
We propose a Hybrid High-Order (HHO) formulation of the incompressible Navier--Stokes equations, that is well suited to be employed for the simulation of turbulent flows. The spati…
Stability, convergence, and pressure-robustness of numerical schemes for incompressible flows with hybrid velocity and pressure
Lorenzo Botti, Michele Botti, Daniele Antonio Di Pietro +1
In this work we study the stability, convergence, and pressure-robustness of discretization methods for incompressible flows with hybrid velocity and pressure. Specifically, focusi…
BR2 discontinuous Galerkin methods for finite hyperelastic deformations
Lorenzo Botti, Luca Verzeroli
In this work we introduce a dG framework for nonlinear elasticity based on a Bassi-Rebay (BR2) formulation. The framework encompasses compressible and incompressible hyperelastic m…
HHO methods for the incompressible Navier-Stokes and the incompressible Euler equations
Lorenzo Botti, Francesco Carlo Massa
We propose two Hybrid High-Order (HHO) methods for the incompressible Navier-Stokes equations and investigate their robustness with respect to the Reynolds number. While both metho…
-Multilevel preconditioners for HHO discretizations of the Stokes equations with static condensation
Lorenzo Botti, Daniele Antonio Di Pietro
We propose a -multilevel preconditioner for Hybrid High-Order discretizations (HHO) of the Stokes equation, numerically assess its performance on two variants of the method, and…
An abstract analysis framework for monolithic discretisations of poroelasticity with application to Hybrid High-Order methods
Lorenzo Botti, Michele Botti, Daniele A. Di Pietro
In this work, we introduce a novel abstract framework for the stability and convergence analysis of fully coupled discretisations of the poroelasticity problem and apply it to the…
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…
h-multigrid agglomeration based solution strategies for discontinuous Galerkin discretizations of incompressible flow problems
Lorenzo Botti, Alessandro Colombo, Francesco Bassi
In this work we exploit agglomeration based -multigrid preconditioners to speed-up the iterative solution of discontinuous Galerkin discretizations of the Stokes and Navier-Stok…