Spectral/hp element methods: Recent developments, applications, and perspectives

H Xu, CD Cantwell, C Monteserin, C Eskilsson… - Journal of …, 2018 - Springer
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 …

Large-eddy simulation of flow past a circular cylinder for Reynolds numbers 400 to 3900

H Jiang, L Cheng - Physics of Fluids, 2021 - pubs.aip.org
The benchmarking case of flow past a circular cylinder at the Reynolds number (Re) of 3900
is computed with two open-source codes, OpenFOAM and Nektar++, which are based on …

[HTML][HTML] A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations

AR Winters, RC Moura, G Mengaldo… - Journal of …, 2018 - Elsevier
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 …

High-order large-eddy simulation of flow over the “Ahmed body” car model

M Minguez, R Pasquetti, E Serre - Physics of fluids, 2008 - pubs.aip.org
The structure of the turbulent flow over a simplified automotive model, the Ahmed body (SR
Ahmed and G. Ramm, SAE Paper No. 8403001, 1984) with a 25 slanted back face, is …

Numerical dissipation vs. subgrid-scale modelling for large eddy simulation

T Dairay, E Lamballais, S Laizet… - Journal of Computational …, 2017 - Elsevier
This study presents an alternative way to perform large eddy simulation based on a targeted
numerical dissipation introduced by the discretization of the viscous term. It is shown that this …

Implicit large-eddy simulation of a wingtip vortex

JEW Lombard, D Moxey, SJ Sherwin, JFA Hoessler… - AIAA Journal, 2016 - arc.aiaa.org
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 …

[HTML][HTML] Eigensolution analysis of spectral/hp continuous Galerkin approximations to advection–diffusion problems: Insights into spectral vanishing viscosity

RC Moura, SJ Sherwin, J Peiró - Journal of Computational Physics, 2016 - Elsevier
This study addresses linear dispersion–diffusion analysis for the spectral/hp continuous
Galerkin (CG) formulation in one dimension. First, numerical dispersion and diffusion curves …

Simulation of the Taylor–Green vortex using high-order flux reconstruction schemes

JR Bull, A Jameson - AIAA Journal, 2015 - arc.aiaa.org
In this paper, the ability of high-order flux reconstruction numerical schemes to perform
accurate and stable computations of compressible turbulent flows on coarse meshes is …

An interior penalty stabilised incompressible discontinuous Galerkin–Fourier solver for implicit large eddy simulations

E Ferrer - Journal of Computational Physics, 2017 - Elsevier
We present an implicit Large Eddy Simulation (iLES) h/p high order (≥ 2) unstructured
Discontinuous Galerkin–Fourier solver with sliding meshes. The solver extends the laminar …

A unified Quasi-Spectral Viscosity (QSV) approach to shock capturing and large-eddy simulation

VCB Sousa, C Scalo - Journal of Computational Physics, 2022 - Elsevier
Abstract The Quasi-Spectral Viscosity (QSV) method is a novel closure for a high-order finite-
difference discretization of the filtered compressible Navier-Stokes equations capable of …