DOI: 10.1007/s10915-015-0119-z/fulltext.html
This paper investigates the connections between many popular variants of the well-established discontinuous Galerkin method and the recently developed high-order flux reconstruction approach on irregular tensor-product grids.

DOI: 10.1016/j.jcp.2015.06.032
In this work we detail two dealiasing strategies based on the concept of consistent integration. The first uses a localised approach, which is useful when the nonlinearities only arise in parts of the problem. The second is based on the more traditional approach of using a higher quadrature.

DOI: 10.1016/j.jcp.2015.06.020
We investigate the potential of linear dispersion–diffusion analysis in providing direct guidelines for turbulence simulations through the under-resolved DNS (sometimes called implicit LES) approach via spectral/hp methods. The discontinuous Galerkin (DG) formulation is assessed in particular as a representative of these methods.

DOI: 10.1017/jfm.2015.281
This paper is concerned with the boundary-layer separation in subsonic and transonic flows caused by a two-dimensional isolated wall roughness. The process of the separation is analysed by means of two approaches: the direct numerical simulation (DNS) of the flow using the Navier–Stokes equations, and the numerical solution of the triple-deck equations.

DOI: 10.1016/j.cpc.2015.02.008
Nektar++ is an open-source software framework designed to support the development of high-performance scalable solvers for partial differential equations using the spectral/hp element method.

The ​ARCHER national supercomputer is intended for very large-scale computations and is the successor to ​HECToR. These instructions are preliminary in nature and an up-to-date version of the master branch is required as support for the compilation environment has only been added recently.

DOI: 10.2514/6.2014-2923
The nature of boundary conditions, and how they are implemented, can have a significant impact on the stability and accuracy of a Computational Fluid Dynamics (CFD) solver. The objective of this paper is to assess how different boundary conditions impact the performance of compact discontinuous high-order spectral element methods (such as the discontinuous Galerkin method and the Flux Reconstruction approach), when these schemes are used to solve the Euler and compressible Navier-Stokes equations on unstructured grids.

The following is the script used to configure Nektar++ 3.4 on IDRIS (large HPC cluster in France). This script must be lauched from a directory containing nektar++-3.4.0.tar.gz and ThirdParty-3.4.0.tar.gz. ThirdParty In order to build ThirdParty-3.4.0.tar.gz, follow these steps from an internet-enabled computer: Nektar++ Then do the following: