The spectral/hp element method combines the geometric flexibility of the classical h-type
finite element technique with the desirable numerical properties of spectral methods …

Abstract Fisher and Carpenter (2013)[12] found a remarkable equivalence of general
diagonal norm high-order summation-by-parts operators to a subcell based high-order finite …

In this paper we will review a recent emerging paradigm shift in the construction and
analysis of high order Discontinuous Galerkin methods applied to approximate solutions of …

The main result in this paper is a provably entropy stable shock capturing approach for the
high order entropy stable Discontinuous Galerkin Spectral Element Method (DGSEM) based …

Nektar++ is an open-source framework that provides a flexible, high-performance and
scalable platform for the development of solvers for partial differential equations using the …

We present estimates of spectral resolution power for under-resolved turbulent Euler flows
obtained with high-order discontinuous Galerkin (DG) methods. The '1% rule'based on …

In this work we prove that the original (Bassi and Rebay in J Comput Phys 131: 267–279,
1997) scheme (BR1) for the discretization of second order viscous terms within the …

This work focuses on the accuracy and stability of high-order nodal discontinuous Galerkin
(DG) methods for under-resolved turbulence computations. In particular we consider the …

Recently, element based high order methods such as Discontinuous Galerkin (DG) methods
and the closely related flux reconstruction (FR) schemes have become popular for …

In this article, recent developments in numerical methods for performing a large-eddy
simulation of the formation and evolution of a wingtip vortex are presented. The …