On the eddy-resolving capability of high-order discontinuous Galerkin approaches to implicit LES / under-resolved DNS of Euler turbulence
File(s)
Published version
Author(s)
Moura, RC
Mengaldo, G
Peiro, J
Sherwin, S
Type
Journal Article
Abstract
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 linear dispersion–diffusion analysis introduced by Moura et al. (2015) [10] is here adapted for 3D energy spectra and validated through the inviscid Taylor–Green vortex problem. The 1% rule estimates the wavenumber beyond which numerical diffusion induces an artificial dissipation range on measured energy spectra. As the original rule relies on standard upwinding, different Riemann solvers are tested. Very good agreement is found for solvers which treat the different physical waves in a consistent manner. Relatively good agreement is still found for simpler solvers. The latter however displayed spurious features attributed to the inconsistent treatment of different physical waves. It is argued that, in the limit of vanishing viscosity, such features might have a significant impact on robustness and solution quality. The estimates proposed are regarded as useful guidelines for no-model DG-based simulations of free turbulence at very high Reynolds numbers.
Date Issued
2017-02-01
Date Acceptance
2016-10-25
Citation
Journal of Computational Physics, 2017, 330 (1), pp.615-623
ISSN
0021-9991
Publisher
Elsevier
Start Page
615
End Page
623
Journal / Book Title
Journal of Computational Physics
Volume
330
Issue
1
Copyright Statement
© 2016 The Authors. Published by Elsevier Inc. Open access article under a CC-BY license (https://creativecommons.org/licenses/by/4.0/)
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (E
Identifier
https://www.sciencedirect.com/science/article/pii/S0021999116305642
Grant Number
EP/L000407/1
EP/I037946/1
Subjects
Science & Technology
Technology
Physical Sciences
Computer Science, Interdisciplinary Applications
Physics, Mathematical
Computer Science
Physics
Implicit LES
Under-resolved DNS
Dispersion-diffusion analysis
High-order discontinuous Galerkin
Inviscid Taylor-Green vortex
Euler turbulence
SIMULATION
CONNECTIONS
DYNAMICS
SCHEMES
FLOWS
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Applied Mathematics
Publication Status
Published
Date Publish Online
2016-10-29