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

  • G. LodatoEmail author
  • J. B. Chapelier
Conference paper
Part of the ERCOFTAC Series book series (ERCO, volume 25)


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.



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. 1.Department of Energy and PropulsionNormandie Université, INSA et Université de Rouen, CNRS CORIA UMR6614RouenFrance
  2. 2.Department of Mechanical EngineeringPurdue UniversityWest LafayetteUSA

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