On the Properties of Energy Stable Flux Reconstruction Schemes for Implicit Large Eddy Simulation

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Title: On the Properties of Energy Stable Flux Reconstruction Schemes for Implicit Large Eddy Simulation
Authors: Vermeire, BC
Vincent, PE
Item Type: Journal Article
Abstract: We begin by investigating the stability, order of accuracy, and dispersion and dissipation characteristics of the extended range of energy stable flux reconstruction (E-ESFR) schemes in the context of implicit large eddy simulation (ILES). We proceed to demonstrate that subsets of the E-ESFR schemes are more stable than collocation nodal discontinuous Galerkin methods recovered with the flux reconstruction approach (FRDG) for marginally-resolved ILES simulations of the Taylor-Green vortex. These schemes are shown to have reduced dissipation and dispersion errors relative to FRDG schemes of the same polynomial degree and, simultaneously, have increased CourantFriedrichs-Lewy (CFL) limits. Finally, we simulate turbulent flow over an SD7003 aerofoil using two of the most stable E-ESFR schemes identified by the aforementioned Taylor-Green vortex experiments. Results demonstrate that subsets of E-ESFR schemes appear more stable than the commonly used FRDG method, have increased CFL limits, and are suitable for ILES of complex turbulent flows on unstructured grids.
Issue Date: 21-Sep-2016
Date of Acceptance: 14-Sep-2016
URI: http://hdl.handle.net/10044/1/40346
DOI: https://dx.doi.org/10.1016/j.jcp.2016.09.034
ISSN: 0021-9991
Publisher: Elsevier
Start Page: 368
End Page: 388
Journal / Book Title: Journal of Computational Physics
Volume: 327
Copyright Statement: © 2016 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/ ).
Sponsor/Funder: Engineering & Physical Science Research Council (E
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Commission of the European Communities
Funder's Grant Number: EP/L000407/1
EP/K027379/1
EP/M50676X/1
635962
Keywords: Science & Technology
Technology
Physical Sciences
Computer Science, Interdisciplinary Applications
Physics, Mathematical
Computer Science
Physics
Flux
Reconstruction
Large
Eddy
Simulation
Stability
NAVIER-STOKES EQUATIONS
TAYLOR-GREEN VORTEX
GRIDS
PYFR
Applied Mathematics
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Publication Status: Published
Appears in Collections:Faculty of Engineering
Aeronautics



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