Imperial College London

ProfessorSpencerSherwin

Faculty of EngineeringDepartment of Aeronautics

Professor of Computational Fluid Mechanics
 
 
 
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Contact

 

+44 (0)20 7594 5052s.sherwin Website

 
 
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Location

 

313BCity and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Mengaldo:2018:10.1016/j.compfluid.2017.09.016,
author = {Mengaldo, G and Moura, RC and Giralda, B and Peiró, J and Sherwin, SJ},
doi = {10.1016/j.compfluid.2017.09.016},
journal = {Computers and Fluids},
pages = {349--364},
title = {Spatial eigensolution analysis of discontinuous Galerkin schemes with practical insights for under-resolved computations and implicit LES},
url = {http://dx.doi.org/10.1016/j.compfluid.2017.09.016},
volume = {169},
year = {2018}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - The study focusses on the dispersion and diffusion characteristics of discontinuous spectral element methods - specifically discontinuous Galerkin (DG) - via the spatial eigensolution analysis framework built around a one-dimensional linear problem, namely the linear advection equation. Dispersion and diffusion characteristics are of critical importance when dealing with under-resolved computations, as they affect both the numerical stability of the simulation and the solution accuracy. The spatial eigensolution analysis carried out in this paper complements previous analyses based on the temporal approach, which are more commonly found in the literature. While the latter assumes periodic boundary conditions, the spatial approach assumes inflow/outflow type boundary conditions and is therefore better suited for the investigation of open flows typical of aerodynamic problems, including transitional and fully turbulent flows and aeroacoustics. The influence of spurious/reflected eigenmodes is assessed with regard to the presence of upwind dissipation, naturally present in DG methods. This provides insights into the accuracy and robustness of these schemes for under-resolved computations, including under-resolved direct numerical simulation (uDNS) and implicit large-eddy simulation (iLES). The results estimated from the spatial eigensolution analysis are verified using the one-dimensional linear advection equation and successively by performing two-dimensional compressible Euler simulations that mimic (spatially developing) grid turbulence.
AU - Mengaldo,G
AU - Moura,RC
AU - Giralda,B
AU - Peiró,J
AU - Sherwin,SJ
DO - 10.1016/j.compfluid.2017.09.016
EP - 364
PY - 2018///
SN - 0045-7930
SP - 349
TI - Spatial eigensolution analysis of discontinuous Galerkin schemes with practical insights for under-resolved computations and implicit LES
T2 - Computers and Fluids
UR - http://dx.doi.org/10.1016/j.compfluid.2017.09.016
UR - http://hdl.handle.net/10044/1/53888
VL - 169
ER -