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 …

In this work, we design an arbitrary high order accurate nodal discontinuous Galerkin
spectral element type method for the one dimensional shallow water equations. The novel …

We design an arbitrary high-order accurate nodal discontinuous Galerkin spectral element
approximation for the non-linear two dimensional shallow water equations with non …

We present a novel staggered semi-implicit hybrid finite volume/finite element method for the
numerical solution of the shallow water equations at all Froude numbers on unstructured …

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 …

In this paper, we present h-and hp-adaptive strategies suited for the discontinuous Galerkin
formulation of the compressible laminar and Reynolds-averaged Navier–Stokes equations …

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 introduce a new family of high order accurate semi-implicit schemes for the solution of
nonlinear time-dependent systems of partial differential equations (PDE) on unstructured …

We propose a new high order accurate nodal discontinuous Galerkin (DG) method for the
solution of nonlinear hyperbolic systems of partial differential equations (PDE) on …

Abstract This work presents IMplicit-EXplicit (IMEX) formulations for discontinuous Galerkin
(DG) discretizations of the compressible Euler equations governing non-hydrostatic …