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Comparative Study of Three High Order Schemes for LES of Temporally Evolving Mixing Layers

Published online by Cambridge University Press:  20 August 2015

Helen C. Yee*
Affiliation:
NASA-Ames Research Center, Moffett Field, CA, 94035, USA
Bjorn Sjögreen*
Affiliation:
Lawrence Livermore National Laboratory, Livermore, CA, 94551, USA
Abdellah Hadjadj*
Affiliation:
CORIA UMR 6614 & INSA de Rouen, 76800 St-Etienne du Rouvray, France
*
Corresponding author.Email address:Helen.M.Yee@nasa.gov
Email address:sjogreen2@llnl.gov
Email address:hadjadj@coria.fr
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Abstract

Three high order shock-capturing schemes are compared for large eddy simulations (LES) of temporally evolving mixing layers for different convective Mach numbers ranging from the quasi-incompressible regime to highly compressible supersonic regime. The considered high order schemes are fifth-order WENO (WENO5), seventh-order WENO (WENO7) and the associated eighth-order central spatial base scheme with the dissipative portion of WENO7 as a nonlinear post-processing filter step (WENO7fi). This high order nonlinear filter method of Yee & Sjögreen is designed for accurate and efficient simulations of shock-free compressible turbulence, turbulence with shocklets and turbulence with strong shocks with minimum tuning of scheme parameters. The LES results by WENO7fi using the same scheme parameter agree well with experimental results compiled by Barone et al., and published direct numerical simulations (DNS) work of Rogers & Moser and Pantano & Sarkar, whereas results by WENO5 and WENO7 compare poorly with experimental data and DNS computations.

Type
Research Article
Copyright
Copyright © Global Science Press Limited 2012

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