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Grid refinement using spectral error indicators with application to airfoil DNS

Grid refinement using spectral error indicators with application to airfoil DNS
Grid refinement using spectral error indicators with application to airfoil DNS
High-order direct numerical simulations of transitional and turbulent fluid flows require smooth grids with continuous metric terms across block boundaries. In this contribution we present an approach to generate and evaluate structured grids around airfoils with a blunt trailing edge that are continuous up to the second order of derivatives. Dassault Aviation's V2C airfoil is used as a case study, involving 3D as well as 2D simulations that solve the Navier-Stokes equations directly. The reference grid consists of more than one billion points to resolve the transonic flow at a Mach number and Reynolds number of M=0.7 and Re=500,000, respectively. A spectral error indicator uses the Fourier spectrum of cube-shaped subdomains to identify critical regions of the grid, where refinement is needed. If the spectral energy of small-scale fluctuations in the flowfield does not decay faster than a certain minimum rate, it is assumed to be caused by the under-resolution of flow features. This methodology leads to a reduction in computational effort when designing and validating large complex grids. The contribution concludes by describing a best-practice procedure for the full grid generation process, including the refinement strategy.
Structured grids, Error indicator, Direct numerical simulation, Airfoil
1-12
Zauner, Markus
c0207f79-62cc-4909-8aa0-6bb9d99e1ea3
Jacobs, Christian T
0ffde78b-6ae2-4b44-a916-666f6be2b92c
Sandham, Neil
0024d8cd-c788-4811-a470-57934fbdcf97
Zauner, Markus
c0207f79-62cc-4909-8aa0-6bb9d99e1ea3
Jacobs, Christian T
0ffde78b-6ae2-4b44-a916-666f6be2b92c
Sandham, Neil
0024d8cd-c788-4811-a470-57934fbdcf97

Zauner, Markus, Jacobs, Christian T and Sandham, Neil (2018) Grid refinement using spectral error indicators with application to airfoil DNS. 7th European Conference on Computational Fluid Dynamics, , Glasgow, United Kingdom. 11 - 15 Jun 2018. pp. 1-12 .

Record type: Conference or Workshop Item (Paper)

Abstract

High-order direct numerical simulations of transitional and turbulent fluid flows require smooth grids with continuous metric terms across block boundaries. In this contribution we present an approach to generate and evaluate structured grids around airfoils with a blunt trailing edge that are continuous up to the second order of derivatives. Dassault Aviation's V2C airfoil is used as a case study, involving 3D as well as 2D simulations that solve the Navier-Stokes equations directly. The reference grid consists of more than one billion points to resolve the transonic flow at a Mach number and Reynolds number of M=0.7 and Re=500,000, respectively. A spectral error indicator uses the Fourier spectrum of cube-shaped subdomains to identify critical regions of the grid, where refinement is needed. If the spectral energy of small-scale fluctuations in the flowfield does not decay faster than a certain minimum rate, it is assumed to be caused by the under-resolution of flow features. This methodology leads to a reduction in computational effort when designing and validating large complex grids. The contribution concludes by describing a best-practice procedure for the full grid generation process, including the refinement strategy.

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More information

Published date: 2018
Venue - Dates: 7th European Conference on Computational Fluid Dynamics, , Glasgow, United Kingdom, 2018-06-11 - 2018-06-15
Keywords: Structured grids, Error indicator, Direct numerical simulation, Airfoil

Identifiers

Local EPrints ID: 421173
URI: http://eprints.soton.ac.uk/id/eprint/421173
PURE UUID: a98821c1-20fb-40b7-be3a-c5f7963be8f1
ORCID for Markus Zauner: ORCID iD orcid.org/0000-0002-6644-2990
ORCID for Christian T Jacobs: ORCID iD orcid.org/0000-0002-0034-4650
ORCID for Neil Sandham: ORCID iD orcid.org/0000-0002-5107-0944

Catalogue record

Date deposited: 24 May 2018 16:30
Last modified: 26 Nov 2021 02:41

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Contributors

Author: Markus Zauner ORCID iD
Author: Christian T Jacobs ORCID iD
Author: Neil Sandham ORCID iD

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