We present a general family of subcell limiting strategies to construct robust high-order
accurate nodal discontinuous Galerkin (DG) schemes. The main strategy is to construct …

The second paper of this series presents two robust entropy stable shock-capturing methods
for discontinuous Galerkin spectral element (DGSEM) discretizations of the compressible …

Dealing with strong shocks while retaining low numerical dissipation traditionally has been
one of the major challenges for high order methods like discontinuous Galerkin (DG). In the …

A direct numerical simulation is performed for a supersonic turbulent boundary layer
interacting with a compression/expansion ramp at an angle, matching the same operating …

Shock capturing procedures are required to stabilise numerical simulations of gas dynamics
problems featuring non-isentropic discontinuities. In the present work, particular attention is …

We present the recent development of hybridizable and embedded discontinuous Galerkin
(DG) methods for wave propagation problems in fluids, solids, and electromagnetism. In …

In the second paper of this three part series, we focus on the simulation of transonic test
cases for turbomachinery applications using a high-order discontinuous Galerkin spectral …

High-order entropy stable schemes are a popular method used in simulations with the
compressible Euler and Navier-Stokes equations. The strength of these methods is that they …

Wall-resolved large eddy simulation on a supersonic turbulent boundary layer over a 24
compression ramp is performed under the framework of high order discontinuous methods …

A high-order low dissipative numerical framework is discussed to tackle simultaneously the
modeling of unresolved sub-grid scale flow turbulence and the capturing of shock waves …