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37th Advanced CFD lecture Series: Recent developments in higher order methods and industrial application in aeronautics - hardcover

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37th Advanced CFD lecture Series: Recent developments in higher order methods and industrial application in aeronautics, ISBN-13 978-2-87516-065-2, VKI LS 2014-03

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Computational methods with order of accuracy higher than two have become an important subject of research in Computational Fluid Dynamics, and the perspective of applying them in an industrial aeronautical context is investigated both in Europe (e.g. in the EU FP7 project IDIHOM) and North America. This lecture series focuses on the technologies that are necessary to make higher order discretization schemes for turbulent high Reynolds number compressible flow both efficient and robust. Discretization methods discussed in detail are Discontinuous Galerkin, Flux Reconstruction/Correction, High Order Finite Volume reconstruction and Residual Distribution. The links between these methods and other methods (like Spectral Difference and Spectral Volumes) are highlighted. Three contributions discuss error analysis and goal oriented error estimation using adjoint equations, combined with hp-multigrid and hp-adaptive meshes. One contribution covers the important topic of grid generation for high order elements and curved boundaries, emphasizing on high Reynolds number applications. Turbulent flow modeling both using scale resolving methods and RANS modeling is treated in detail, including aspects of implementation and High Performance Computing. Special emphasis is put on industrial applications in the area of steady and unsteady aerodynamics including RANS turbulence modelling (Spalart Allmaras, EARSM) and resolution of turbulence (LES, ILES, DNS). Finally, achievements, weaknesses and perspectives for future research are critically evaluated.

The course notes are oriented towards both junior and experienced engineers and researchers involved with CFD algorithm and code development. This implies a balanced mix between introductory and advanced lectures.

A special thanks goes to the lecturers and authors for their dedication in preparing and presenting these notes. The European contributions were selected from the EU project IDIHOM and we strongly acknowledge the coordinator Prof. N. Kroll and EC officer Dr. D. Knörzer for their stimulation of this course as a dissemination effort of the FP7 project IDIHOM. We are very grateful to the American contributors from NASA, U Michigan and U British Columbia for their enthusiastic collaboration, which allowed to enlarge the scope of this course in the transatlantic spirit of Theodor von Karman.

Part of the research leading to these proceedings has received funding from the European Union Seventh Framework Programme in the framework of the project IDIHOM (Industrialisation of High-Order Methods – A Top-Down Approach) (grant agreement n° ACP0-GA-2010-265780)

  • HUYNH, H.T. – NASA Glenn Research Center, USA
    Flux reconstruction/correction procedure via reconstruction, a unified approach to high-order accuracy
  • OLLIVIER-GOOCH, C. – The University of British Columbia, Canada
    High-order unstructured mesh finite volume methods
  • BASSI, F.1; COLOMBO, A.1; GHIDONI, A.2; REBAY, S.21University of Bergamo, .2University of Brescia, Italy
    Discontinuous Galerkin methods for the Reynolds averaged Navier-Stokes equations: turbulence modeling aspects and applications in aeronautics - Part I: Basics and theory
  • BASSI, F.1; BOTTI, L.1; COLOMBO, A.1; CRIVELLINI, A.2; FRANCHINA, N.2; GHIDONI, A.3; REBAY, S.31University of Bergamo, 2Università Politecnica delle Marche,.3University of Brescia, Italy
    Discontinuous Galerkin methods for the Reynolds averaged Navier-Stokes equations: turbulence modeling aspects and applications in aeronautics - Part II: Application to RANS turbulent flow
  • HILLEWAERT, K. & CARTON DE WIART, C. – Cenaero, Belgium
    Practical implementation and assessment of the discontinuous Galerkin method for DNS and LES of industrial flows
  • GEUZAINE, C. 1; JOHNEN, A. 1; LAMBRECHTS, J.2,3; REMACLE, J.-F. 2; TOULORGE, T. 2,31Université de Liège, 2Université Catholique de Louvain, 3Fonds National de la Recherche Scientifique, Belgium
    The generation of curvilinear meshes
  • ABGRALL, R. 1& DE SANTIS, D.21INRIA Bordeaux Sud Ouest & 2Université de Bordeaux, France
    Very high-order residual distribution schemes for laminar and turbulent flows
  • FIDKOWSKI, K.J. – University of Michigan, USA
    High-order output-based adaptive methods for steady and unsteady aerodynamics
  • HARTMANN, R. & LEICHT, T. – DLR, Germany
    Higher order and adaptive DG methods for compressible flows
  • LEICHT, T. & KROLL, N. – German Aerospace Center (DLR), Germany
    Status of high-order methods for aerospace applications: achievements, weaknesses and perspectives

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