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Scalar flux modeling in turbulent flames using iterative deconvolution

Z. M. Nikolaou1,*, R. S. Cant2,†, and L. Vervisch3,‡

  • 1Department of Chemical and Process Engineering, University of Strathclyde, 75 Montrose str. G1 1XJ, Glasgow, United Kingdom
  • 2Department of Engineering, University of Cambridge, Cambridge CB2 1PZ, United Kingdom
  • 3CORIA, CNRS, Normandie Université, INSA de Rouen Normandie, France

  • *Present address: Computation-based Science and Technology Research Centre (CaSToRC), The Cyprus Institute, Nicosia 2121, Cyprus; z.nicolaou@cyi.ac.cy
  • †rsc10@eng.cam.ac.uk
  • ‡vervisch@coria.fr
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Phys. Rev. Fluids 3, 043201 – Published 23 April, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.043201

Abstract

In the context of large eddy simulations, deconvolution is an attractive alternative for modeling the unclosed terms appearing in the filtered governing equations. Such methods have been used in a number of studies for non-reacting and incompressible flows; however, their application in reacting flows is limited in comparison. Deconvolution methods originate from clearly defined operations, and in theory they can be used in order to model any unclosed term in the filtered equations including the scalar flux. In this study, an iterative deconvolution algorithm is used in order to provide a closure for the scalar flux term in a turbulent premixed flame by explicitly filtering the deconvoluted fields. The assessment of the method is conducted a priori using a three-dimensional direct numerical simulation database of a turbulent freely propagating premixed flame in a canonical configuration. In contrast to most classical a priori studies, the assessment is more stringent as it is performed on a much coarser mesh which is constructed using the filtered fields as obtained from the direct simulations. For the conditions tested in this study, deconvolution is found to provide good estimates both of the scalar flux and of its divergence.

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Phys. Rev. Fluids 3, 043201– Published 23 April, 2018
  • Received 22 November 2017
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