Assessment of low dissipative shock capturing schemes for the compressible Taylor Green vortex
Assessment of low dissipative shock capturing schemes for the compressible Taylor Green vortex
Interactions between shock-waves and turbulence are ubiquitous in high-speed flows of practical aeronautical interest. Recent advances in computational power have made Implicit Large Eddy Simulation (ILES) and Direct Numerical Simulation (DNS) feasible tools for investigating the underlying physical mechanisms involved. However, numerical methods for shock-capturing introduce high levels of numerical dissipation to the whole flow-field, making them a poor choice for resolving the small scales of turbulence. In this work the efficacy of a selection of low-dissipative and hybrid Weighted and Targeted Essentially Non-Oscillatory (WENO/TENO) shock-capturing methods is assessed. An extension of the classic subsonic Taylor-Green vortex problem is presented up to Mach 1.25, where compressibility and dilatational dissipation become important. The presence of strong shock-waves is demonstrated, which merge and interact with one another to form complex shock systems. A supersonic test case is then specified, using a Reynolds number of 1600 to ensure a wide range of scales are present to test the numerical schemes. Low-dissipative TENO schemes are found to offer substantial improvements in resolution over established WENO methods for a comparable computational cost.
533-545
Lusher, David
dd681c9e-ceae-409b-8153-8248c13a18e5
Sandham, Neil
0024d8cd-c788-4811-a470-57934fbdcf97
Lusher, David
dd681c9e-ceae-409b-8153-8248c13a18e5
Sandham, Neil
0024d8cd-c788-4811-a470-57934fbdcf97
Lusher, David and Sandham, Neil
(2020)
Assessment of low dissipative shock capturing schemes for the compressible Taylor Green vortex.
AIAA Journal, 59 (2), .
(doi:10.2514/1.J059672).
Abstract
Interactions between shock-waves and turbulence are ubiquitous in high-speed flows of practical aeronautical interest. Recent advances in computational power have made Implicit Large Eddy Simulation (ILES) and Direct Numerical Simulation (DNS) feasible tools for investigating the underlying physical mechanisms involved. However, numerical methods for shock-capturing introduce high levels of numerical dissipation to the whole flow-field, making them a poor choice for resolving the small scales of turbulence. In this work the efficacy of a selection of low-dissipative and hybrid Weighted and Targeted Essentially Non-Oscillatory (WENO/TENO) shock-capturing methods is assessed. An extension of the classic subsonic Taylor-Green vortex problem is presented up to Mach 1.25, where compressibility and dilatational dissipation become important. The presence of strong shock-waves is demonstrated, which merge and interact with one another to form complex shock systems. A supersonic test case is then specified, using a Reynolds number of 1600 to ensure a wide range of scales are present to test the numerical schemes. Low-dissipative TENO schemes are found to offer substantial improvements in resolution over established WENO methods for a comparable computational cost.
Text
Lusher AIAAJ 2020 TGV
- Accepted Manuscript
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Accepted/In Press date: 25 August 2020
e-pub ahead of print date: 21 December 2020
Identifiers
Local EPrints ID: 443466
URI: http://eprints.soton.ac.uk/id/eprint/443466
ISSN: 0001-1452
PURE UUID: f70c53c9-2ad1-4fb0-9d6b-a25dd76f922e
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Date deposited: 26 Aug 2020 16:35
Last modified: 17 Mar 2024 04:02
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Author:
David Lusher
Author:
Neil Sandham
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