Numerical weather prediction (NWP) is in a period of transition. As resolutions increase,
global models are moving towards fully nonhydrostatic dynamical cores, with the local and …

We present an implicit high-order hybridizable discontinuous Galerkin method for the steady-
state and time-dependent incompressible Navier–Stokes equations. The method is devised …

We present hybridizable discontinuous Galerkin methods for solving steady and time-
dependent partial differential equations (PDEs) in continuum mechanics. The essential …

We introduce a hybridizable discontinuous Galerkin method for the incompressible Navier–
Stokes equations for which the approximate velocity field is pointwise divergence-free. The …

Performing accurate numerical simulations of molten salt reactors is challenging, especially
in case of fast-spectrum designs, due to the unique physics phenomena characterizing …

In this paper we propose a novel arbitrary high order accurate semi-implicit space–time
discontinuous Galerkin method for the solution of the three-dimensional incompressible …

The paper presents an unsteady high order Discontinuous Galerkin (DG) solver that has
been developed, verified and validated for the solution of the two-dimensional …

This work discusses a discontinuous Galerkin (DG) discretization for two‐phase flows. The
fluid interface is represented by a level set, and the DG approximation space is adapted …

In this article we propose a new family of high order staggered semi-implicit discontinuous
Galerkin (DG) methods for the simulation of natural convection problems. Assuming small …

We present an efficient discontinuous Galerkin scheme for simulation of the incompressible
Navier–Stokes equations including laminar and turbulent flow. We consider a semi-explicit …