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An error indicator for finite difference methods using spectral techniques with application to aerofoil simulation

An error indicator for finite difference methods using spectral techniques with application to aerofoil simulation
An error indicator for finite difference methods using spectral techniques with application to aerofoil simulation
This work introduces a new error indicator which can be used to determine areas of insufficient numerical resolution in unfiltered finite difference simulations. The background behind the methodology is that smaller scales (i.e. the flow features with higher wave numbers) are physically characterised by a smaller energy content in comparison with larger scales. This energy should decrease with increasing wavenumber at a minimum rate; if this rate is not attained it likely means that the smaller scales are not being properly resolved on the computational grid of solution points. An approach using spectral techniques is used to formulate two varieties of the error indicator – one integer-valued and one floating point-valued. These values are computed at a finite number of ‘blocks’ which span the domain. The indicator is implemented within the OpenSBLI finite difference-based modelling framework, and evaluated in the context of a three-dimensional Taylor-Green vortex problem and flow past a V2C laminar flow aerofoil.
0045-7930
67-72
Jacobs, Christian T.
0ffde78b-6ae2-4b44-a916-666f6be2b92c
Zauner, Markus
c0207f79-62cc-4909-8aa0-6bb9d99e1ea3
De Tullio, Nicola
db4397b2-3fab-476c-a0f4-4caf9848d5f7
Jammy, Satya
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Lusher, David
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Sandham, Neil
0024d8cd-c788-4811-a470-57934fbdcf97
Jacobs, Christian T.
0ffde78b-6ae2-4b44-a916-666f6be2b92c
Zauner, Markus
c0207f79-62cc-4909-8aa0-6bb9d99e1ea3
De Tullio, Nicola
db4397b2-3fab-476c-a0f4-4caf9848d5f7
Jammy, Satya
5267fe44-6c22-473c-b9f0-8e1df884fada
Lusher, David
44ff9096-3c84-440a-9f64-946636aff985
Sandham, Neil
0024d8cd-c788-4811-a470-57934fbdcf97

Jacobs, Christian T., Zauner, Markus, De Tullio, Nicola, Jammy, Satya, Lusher, David and Sandham, Neil (2018) An error indicator for finite difference methods using spectral techniques with application to aerofoil simulation. Computers & Fluids, 168, 67-72. (doi:10.1016/j.compfluid.2018.03.065).

Record type: Article

Abstract

This work introduces a new error indicator which can be used to determine areas of insufficient numerical resolution in unfiltered finite difference simulations. The background behind the methodology is that smaller scales (i.e. the flow features with higher wave numbers) are physically characterised by a smaller energy content in comparison with larger scales. This energy should decrease with increasing wavenumber at a minimum rate; if this rate is not attained it likely means that the smaller scales are not being properly resolved on the computational grid of solution points. An approach using spectral techniques is used to formulate two varieties of the error indicator – one integer-valued and one floating point-valued. These values are computed at a finite number of ‘blocks’ which span the domain. The indicator is implemented within the OpenSBLI finite difference-based modelling framework, and evaluated in the context of a three-dimensional Taylor-Green vortex problem and flow past a V2C laminar flow aerofoil.

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More information

Accepted/In Press date: 20 March 2018
e-pub ahead of print date: 21 March 2018
Published date: 30 May 2018

Identifiers

Local EPrints ID: 419079
URI: http://eprints.soton.ac.uk/id/eprint/419079
ISSN: 0045-7930
PURE UUID: 05bab6c3-f242-4fab-82e4-961e87ce7f95
ORCID for Christian T. Jacobs: ORCID iD orcid.org/0000-0002-0034-4650
ORCID for Markus Zauner: ORCID iD orcid.org/0000-0002-6644-2990
ORCID for Satya Jammy: ORCID iD orcid.org/0000-0002-8099-8573
ORCID for Neil Sandham: ORCID iD orcid.org/0000-0002-5107-0944

Catalogue record

Date deposited: 29 Mar 2018 16:30
Last modified: 13 Apr 2021 01:37

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