Development of a multiscale LES model in the context of a modal discontinuous Galerkin method

Autor: M. de la Llave Plata, Jean-Baptiste Chapelier, Eric Lamballais
Přispěvatelé: ONERA - The French Aerospace Lab [Châtillon], ONERA-Université Paris Saclay (COmUE), Complexe de recherche interprofessionnel en aérothermochimie (CORIA), Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences appliquées Rouen Normandie (INSA Rouen Normandie), Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)-Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)-Université de Rouen Normandie (UNIROUEN), Normandie Université (NU), Institut Pprime (PPRIME), Université de Poitiers-ENSMA-Centre National de la Recherche Scientifique (CNRS)
Rok vydání: 2016
Předmět:
Zdroj: Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering, Elsevier, 2016, 307, p. 275-299. ⟨10.1016/j.cma.2016.04.031⟩
ISSN: 0045-7825
DOI: 10.1016/j.cma.2016.04.031
Popis: This paper introduces a variational multiscale simulation (VMS) approach in the context of high-order discontinuous Galerkin (DG) discretizations. First, a new calibration of the Smagorinsky model parameter ( C S Δ ) is proposed in terms of the DG discretization (grid size, h , and polynomial order, p ) and the selected VMS scale partition. Second, an efficient and simple implementation of the VMS version of the Smagorinsky model is presented. The dissipation properties of the DG discretizations for different values of h and p are then analysed based on Taylor–Green vortex computations in the limit of inviscid flow. The low levels of dissipation found for high-order DG discretizations emphasize the suitability of this type of discretization for LES. The performance of the presented approach is demonstrated by comparing DG/VMS computations of the Taylor–Green vortex at R e = 3000 with a reference spectral DNS.
Databáze: OpenAIRE