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Time Integration in the Discontinuous Galerkin Code MIGALE - Unsteady Problems

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IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 128))

Abstract

This chapter presents recent developments of a high-order Discontinuous Galerkin (DG) method to deal with unsteady simulation of turbulent flows by using high-order implicit time integration schemes. The approaches considered during the IDIHOM project were the Implicit Large Eddy Simulation (ILES), where no explicit subgrid-scale (SGS) model is included and the DG discretization itself acts like a SGS model, and two hybrid approaches between Reynolds-averaged Navier- Stokes (RANS) and Large Eddy Simulation (LES) models, namely the Spalart-Allmaras Detached Eddy Simulation (SA-DES) and the eXtra- Large Eddy Simulation (X-LES). Accurate time integration is based on high-order linearly implicit Rosenbrock-type Runge-Kutta schemes, implemented in the DG code MIGALE up to sixth-order accuracy. Several high-order DG results of both incompressible and compressible 3D turbulent test cases proposed within the IDIHOM project demonstrate the capability of the method.

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Author information

Authors and Affiliations

  1. Universtità degli Studi di Bergamo, Engineering Department, 24044, Dalmine, BG, Italy

    F. Bassi, L. Botti & A. Colombo

  2. Department of Industrial Engineering and Mathematical Sciences, Università Politecnica delle Marche, 60100, Ancona, Italy

    A. Crivellini

  3. Department of Mechanical and Industrial Engineering, Università degli Studi di Brescia, 25123, Brescia, Italy

    A. Ghidoni & S. Rebay

  4. Department of Mechanical, Energy and Management Engineering, Università della Calabria, 87036, Rende, CS, Italy

    A. Nigro

Authors
  1. F. Bassi
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  2. L. Botti
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  3. A. Colombo
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  4. A. Crivellini
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  5. A. Ghidoni
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  6. A. Nigro
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  7. S. Rebay
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Corresponding author

Correspondence to F. Bassi .

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Editors and Affiliations

  1. Institute of Aerodynamics and Flow Technology, German Aerospace Center (DLR), Braunschweig, Germany

    Norbert Kroll

  2. NUMECA International S.A, Brussels, Belgium

    Charles Hirsch

  3. Department of Engineering, University of Bergamo, Dalmine, Italy

    Francesco Bassi

  4. Aircraft Research Association Limited, Bedford, United Kingdom

    Craig Johnston

  5. Cenaero ASBL, Gosselies, Belgium

    Koen Hillewaert

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Bassi, F. et al. (2015). Time Integration in the Discontinuous Galerkin Code MIGALE - Unsteady Problems. In: Kroll, N., Hirsch, C., Bassi, F., Johnston, C., Hillewaert, K. (eds) IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 128. Springer, Cham. https://doi.org/10.1007/978-3-319-12886-3_11

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  • DOI: https://doi.org/10.1007/978-3-319-12886-3_11

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-12885-6

  • Online ISBN: 978-3-319-12886-3

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