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Influence of different subgrid-scale models in low-order LES of supersonic jet flows

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Abstract

The present work is concerned with a study of large eddy simulations (LES) of unsteady turbulent jet flows. In particular, the present analysis is focused on the effects of the subgrid-scale modeling used when a second-order spatial discretization methodology is employed for the numerical simulations. The present effort addresses perfectly expanded supersonic jets, because the authors want to emphasize the effects of the jet mixing phenomena. The LES formulation is discretized using the finite difference approach, after the equations are rewritten in a generalized coordinate system. Both space and time discretizations are second-order accurate and an explicit time march is adopted. Special care is dedicated to the discretization of the energy equation to appropriately model the set of filtered equations appearing in the LES formulation. The classical Smagorinsky, the dynamic Smagorinsky and the Vreman models are the subgrid-scale closures selected for the present work. The computational results are compared to data in the literature to validate the present simulation tool. Results indicate that the characteristics of numerical discretization can be as important as the effects of the subgrid-scale models for such low-order spatial discretization schemes. A detailed analysis is presented for the performance of each subgrid closure in the numerical context here considered.

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Acknowledgements

The authors gratefully acknowledge the partial support for this research provided by Conselho Nacional de Desenvolvimento Científico e Tecnológico, CNPq, under the Research Grant nos. 309985/2013-7, 400844/2014-1 and 443839/2014-0. The authors are also indebted to the partial financial support received from Fundação de Amparo à Pesquisa do Estado de São Paulo, FAPESP, under the Research Grant nos. 2013/07375-0 and 2013/21535-0. The authors further acknowledge the National Laboratory for Scientific Computing, LNCC/MCTIC, for providing high-performance computing resources through the Santos Dumont supercomputer, which have contributed to the research results reported within this paper.

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Authors and Affiliations

  1. Instituto de Aeronáutica e Espaço, DCTA/IAE/ALA, São José dos Campos, SP, 12228-904, Brazil

    Carlos Junqueira-Junior & João Luiz F. Azevedo

  2. Instituto Tecnológico de Aeronáutica, DCTA/ITA, São José dos Campos, SP, 12228-900, Brazil

    Sami Yamouni

  3. Faculdade de Engenharia Mecânica, Universidade Estadual de Campinas, Rua Mendeleyev, 200, Campinas, SP, 13083-860, Brazil

    William R. Wolf

Authors
  1. Carlos Junqueira-Junior
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  2. Sami Yamouni
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  3. João Luiz F. Azevedo
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  4. William R. Wolf
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Corresponding author

Correspondence to Sami Yamouni.

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Technical Editor: André Cavalieri.

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Junqueira-Junior, C., Yamouni, S., Azevedo, J.L.F. et al. Influence of different subgrid-scale models in low-order LES of supersonic jet flows. J Braz. Soc. Mech. Sci. Eng. 40, 258 (2018). https://doi.org/10.1007/s40430-018-1182-9

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