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Evaluation of the Spectral Element Dynamic Model for LES on Unstructured, Deformed Meshes

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Direct and Large-Eddy Simulation XI

Part of the book series: ERCOFTAC Series ((ERCO,volume 25))

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Abstract

Discontinuous finite element methods (DFEM) such as the discontinuous Galerkin (DG) (Cockburn et al, Discontinuous Galerkin methods: theory, computation, and applications. Springer, Berlin, 2000), [1] or the spectral difference (SD) (Kopriva and Kolias, J Comput Phys 125(1):244–261, 1996), [7], (Liu et al, J Comput Phys 216(2):780–801, 2006), [9], (Wang et al, J Sci Comput 32(1):45–71, 2007), [21] methods show a strong potential for the direct numerical simulation (DNS) and large-eddy simulation (LES) of turbulent flows on realistic geometries. These methods are characterized by a rather peculiar mix of features, such as their high-orders of accuracy, the ability to handle unstructured meshes, curved boundary elements and the compactness of the stencil, which allows for optimal parallelism. The extremely low level of numerical dissipation which can be achieved when high-orders are selected, and the consequent significant increase in resolving power, make DFEM particularly well suited for LES.

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Acknowledgements

The use of the SD solver originally developed by Antony Jameson’s group at Stanford University, and joint financial support from the Agence Nationale de la Recherche (ANR) and Fondation de Recherche pour l’Aéronautique et l’Espace (FRAE) under Grant No. ANR-14-CE05-0029 are gratefully acknowledged. This work was granted access to the HPC resources of IDRIS-CNRS under the allocation i2015-2a7361. The Haute Normandie Computing center CRIANN is also acknowledged.

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Authors and Affiliations

  1. Department of Energy and Propulsion, Normandie Université, INSA et Université de Rouen, CNRS CORIA UMR6614, Rouen, France

    G. Lodato

  2. Department of Mechanical Engineering, Purdue University, West Lafayette, IN, USA

    J. B. Chapelier

Authors
  1. G. Lodato
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  2. J. B. Chapelier
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Corresponding author

Correspondence to G. Lodato .

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Editors and Affiliations

  1. Dipartimento di Ingegneria Civile e Industriale, Università di Pisa, Pisa, Italy

    Maria Vittoria Salvetti

  2. Dipartimento di Ingegneria Civile e Ambientale, Università degli studi di Trieste, Trieste, Italy

    Vincenzo Armenio

  3. Institut für Strömungsmechanik, Technische Universität Dresden, Dresden, Germany

    Jochen Fröhlich

  4. Faculty of Electrical Engineering, Mathematics and Computer Science, Multiscale Modeling and Simulation, University of Twente, Enschede, The Netherlands

    Bernard J. Geurts

  5. Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands

    Hans Kuerten

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Lodato, G., Chapelier, J.B. (2019). Evaluation of the Spectral Element Dynamic Model for LES on Unstructured, Deformed Meshes. In: Salvetti, M., Armenio, V., Fröhlich, J., Geurts, B., Kuerten, H. (eds) Direct and Large-Eddy Simulation XI. ERCOFTAC Series, vol 25. Springer, Cham. https://doi.org/10.1007/978-3-030-04915-7_6

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  • DOI: https://doi.org/10.1007/978-3-030-04915-7_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-04914-0

  • Online ISBN: 978-3-030-04915-7

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