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On the performance of WENO/TENO schemes to resolve turbulence in DNS/LES of high-speed compressible flows

On the performance of WENO/TENO schemes to resolve turbulence in DNS/LES of high-speed compressible flows
On the performance of WENO/TENO schemes to resolve turbulence in DNS/LES of high-speed compressible flows
High‐speed compressible turbulent flows typically contain discontinuities and have been widely modelled using Weighted Essentially Non‐Oscillatory (WENO) schemes due to their high‐order accuracy and sharp shock capturing capability. However, such schemes may damp the small scales of turbulence, and result in inaccurate solutions in the context of turbulence‐resolving simulations. In this connection, the recently‐developed Targeted Essentially Non‐Oscillatory (TENO) schemes, including adaptive variants, may offer significant improvements. The present study aims to quantify the potential of these new schemes for a fully‐turbulent supersonic flow. Specifically, DNS of a compressible turbulent channel flow with M = 1: 5 and Re τ = 222 is conducted using OpenSBLI, a high‐order finite difference CFD framework. This flow configuration is chosen to decouple the effect of flow discontinuities and turbulence and focus on the capability of the aforementioned high‐order schemes to resolve turbulent structures. The effect of the spatial resolution in different directions and coarse grid implicit LES are also evaluated against theWALE LES model. The TENO schemes are found to exhibit significant performance improvements over the WENO schemes in terms of the accuracy of the statistics and the resolution of the three‐dimensional vortical structures. The 6th order adaptive TENO scheme is found to produce comparable results to those obtained with non‐dissipative 4th and 6th order central schemes and reference data obtained with spectral methods. Although the most computationally expensive scheme, it is shown that this adaptive scheme can produce satisfactory results if used as an implicit LES model.
teno, high-order, channel flow, openSBLI, code generation, GPU
0271-2091
Hamzehloo, Arash
456b886d-3edb-4dd3-9512-0cb0fb5cf146
Lusher, David
dd681c9e-ceae-409b-8153-8248c13a18e5
Laizet, Sylvain
74f95ec1-e915-427c-a1a3-d13e8729d0fb
Sandham, Neil
0024d8cd-c788-4811-a470-57934fbdcf97
Hamzehloo, Arash
456b886d-3edb-4dd3-9512-0cb0fb5cf146
Lusher, David
dd681c9e-ceae-409b-8153-8248c13a18e5
Laizet, Sylvain
74f95ec1-e915-427c-a1a3-d13e8729d0fb
Sandham, Neil
0024d8cd-c788-4811-a470-57934fbdcf97

Hamzehloo, Arash, Lusher, David, Laizet, Sylvain and Sandham, Neil (2020) On the performance of WENO/TENO schemes to resolve turbulence in DNS/LES of high-speed compressible flows. International Journal for Numerical Methods in Fluids.

Record type: Article

Abstract

High‐speed compressible turbulent flows typically contain discontinuities and have been widely modelled using Weighted Essentially Non‐Oscillatory (WENO) schemes due to their high‐order accuracy and sharp shock capturing capability. However, such schemes may damp the small scales of turbulence, and result in inaccurate solutions in the context of turbulence‐resolving simulations. In this connection, the recently‐developed Targeted Essentially Non‐Oscillatory (TENO) schemes, including adaptive variants, may offer significant improvements. The present study aims to quantify the potential of these new schemes for a fully‐turbulent supersonic flow. Specifically, DNS of a compressible turbulent channel flow with M = 1: 5 and Re τ = 222 is conducted using OpenSBLI, a high‐order finite difference CFD framework. This flow configuration is chosen to decouple the effect of flow discontinuities and turbulence and focus on the capability of the aforementioned high‐order schemes to resolve turbulent structures. The effect of the spatial resolution in different directions and coarse grid implicit LES are also evaluated against theWALE LES model. The TENO schemes are found to exhibit significant performance improvements over the WENO schemes in terms of the accuracy of the statistics and the resolution of the three‐dimensional vortical structures. The 6th order adaptive TENO scheme is found to produce comparable results to those obtained with non‐dissipative 4th and 6th order central schemes and reference data obtained with spectral methods. Although the most computationally expensive scheme, it is shown that this adaptive scheme can produce satisfactory results if used as an implicit LES model.

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2020_IJNMF_accepted - Accepted Manuscript
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Accepted/In Press date: 9 June 2020
Published date: 17 June 2020
Keywords: teno, high-order, channel flow, openSBLI, code generation, GPU

Identifiers

Local EPrints ID: 441657
URI: http://eprints.soton.ac.uk/id/eprint/441657
ISSN: 0271-2091
PURE UUID: cf83cb08-a58f-45c3-842d-cb4ae3ce73a5
ORCID for David Lusher: ORCID iD orcid.org/0000-0001-8874-5290
ORCID for Neil Sandham: ORCID iD orcid.org/0000-0002-5107-0944

Catalogue record

Date deposited: 23 Jun 2020 16:31
Last modified: 29 Jul 2020 01:54

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