The Discontinuous Galerkin Method as an Enabling Technology for DNS and LES of Industrial Aeronautical Applications

[en] To enhance prediction capacities and therefore allow more advanced aeronautic and aero-propulsive design, new CFD tools are required. State of the art codes are based on second order accurate finite volume methods and are primarily developed for statistical turbulence modeling approaches. Given the limitations of these models, more direct approaches such as DNS or LES are required for the prediction of off-design aerodynamic performance, noise generation, transitional flows ...

Disciplines :

Mechanical engineering
Aerospace & aeronautics engineering

Author, co-author :

Hillewaert, Koen ; Cenaero

Carton de Wiart, Corentin; Cenaero

Language :

English

Title :

The Discontinuous Galerkin Method as an Enabling Technology for DNS and LES of Industrial Aeronautical Applications

Publication date :

2016

Event name :

Closing Symposium of the DFG Research Unit FOR 1066: Advances in Simulation of Wing and Nacelle Stall

Event place :

DLR Braunschweig, Germany

Event date :

December 1-2, 2014

By request :

Yes

Audience :

International

Main work title :

Advances in Simulation of Wing and Nacelle Stall

Author, co-author :

Radespiel, Rolf

Niehuis, Reinhard

Kroll, Norbert

Behrends, Katrin

Publisher :

Springer International Publishing

ISBN/EAN :

978-3-319-21127-5

Pages :

75-96

Available on ORBi :

since 11 August 2021

Statistics

Number of views

42 (4 by ULiège)

Number of downloads

2 (2 by ULiège)

More statistics

Scopus citations^®

Scopus citations^®
without self-citations

OpenCitations

Bibliography

Altmann, C., Beck, A.D., Hindenlang, F., Staudenmaier, M., Gassner, G.J., Munz, C.-D., An efficient high performance parallelization of a discontinuous galerkin spectral element method (2013) Facing the Multicore-Challenge III. LNCS, 7686, pp. 37-47. , In: Keller, R., Kramer, D., Weiss, J.-P. (eds.), Springer, Heidelberg
Andersson, N., Eriksson, L.E., Davidson, L., Large-Eddy Simulation of aMach 0 (2003) 9Th AIAA/CEAS Aeroacoustics Conference, , 75 jet. AIAA paper 2003-3312/
Arnold, D., Brezzi, F., Cockburn, B., Marini, L., Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems (2002) SIAM Journal of Numerical Analysis, 39, pp. 1749-1779
Bricteux, L., Duponcheel, M., Winckelmans, G., A multiscale subgrid model for both free vortex flows and wall-bounded flows (2009) Physics of Fluids, 21 (105), p. 102
Canuto, C., Hussaini, M.Y., Quarteroni, A., Zang, T.A., (1988) Spectral Methods in Fluid Dynamics, , Springer-Verlag
Cockburn, B., Discontinuous Galerkin Methods for Convection-Dominated Problems (1999) High-Order Methods for Computational Physics. LNCSE,, 9, pp. 69-224. , In: Barth, T.J., Deconinck, H. (eds.), Springer, Heidelberg
Deville, M., Fischer, P., Mund, E., (2002) High-Order Methods for Incompressible Fluid Flow, , Cambridge University Press
Gassner, G., Kopriva, D.A., A comparison of the dispersion and dissipation errors of gauss and gauss-lobatto discontinuous galerkin spectral element methods (2011) SIAM J. Scientific Computing, 33 (5), pp. 2560-2579
Geuzaine, C., Remacle, J.F., Gmsh: A three-dimensional finite element mesh generator with built-in pre- and post-processing facilities (2009) International Journal for Numerical Methods in Engineering, 79 (11), pp. 1309-1331
Hesthaven, J., Warburton, T., Nodal Discontinuous Galerkin Methods
Algorithms, Analysis and Applications (2008) Text in Applied Mathematics, , Springer
Hillewaert, K., (2013) Development of the Discontinuous Galerkin Method for High-Resolution, Large Scale CFD and Acoustics in Industrial Geometries, , Ph.D. thesis, Ecole polytechnique de Louvain/ iMMC
Hoyas, S., Jimenez, J., Reynolds number effects on the Reynolds-stress budgets in turbulent channels (2008) Physics of Fluids, 20 (101), p. 511
Huynh, H.T., A flux reconstruction approach to high-order schemes including discontinuous Galerkin methods (2007) 18Th AIAA Computational Fluid Dynamics Conference, AIAA-2007- 4079
Jiang, G., Shu, C.W., On a cell entropy inequality for discontinuous Galerkin methods (1994) Mathematics of Computation, 62 (206), pp. 531-538
Jordan, P., Gervais, Y., Valiére, J.C., Foulon, H., Final results from single point measurements (2002) Project Deliverable D3.4, JEAN - EU 5Th Framework Programme, G4RD-CT2000-00313
Karniadakis, G., Sherwin, S., (2005) Spectral/Hp Element Methods for Computational Fluid Dynamics, , Oxford University Press
Lodato, G., Castonguay, P., Jameson, A., Discrete filter for large-eddy simulation using highorder spectral difference methods (2012) International Journal for Numerical Methods in Fluids, 72 (2), pp. 231-258
Lodato, G., Castonguay, P., Jameson, A., Structural wall-modelled LES using a high-order spectral difference scheme for unstructured mesh (2014) Flow, Turbulence and Combustion, 92, pp. 593-606
Moser, R., Kim, J., Mansour, N., Direct Numerical Simulation of turbulent channel flow up to Reτ =590 (1998) Physics of Fluids, 11 (4), pp. 943-945
Nitsche, J., Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind (1971) Abh. Math. Sem. Univ. Hamburg, 36, pp. 9-15
Shahbazi, K., An explicit expression for the penalty parameter of the interior penalty method (2005) Journal of Computational Physics, 205, pp. 401-407
Sun, Y., Wang, Z., Lia, Y., High-order multidomain spectral difference method for the Navier- Stokes equations on unstructured hexahedral grids Communication in Computational Physics, 2 (2), pp. 310-333
Toro, E.F., (1999) Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction, , Springer-Verlag
Tucker, P., Computation of unsteady turbomachinery flows: Part 1 - progress and challenges (2011) Progress in Aerospace Sciences, 47, pp. 522-545
Tucker, P., Computation of unsteady turbomachinery flows: Part 2 - LES and hybrids (2011) Progress in Aerospace Sciences, 47, pp. 546-569
Vasilyev, O., High order finite difference schemes on non-uniform meshes with good conservation properties (2000) Journal of Computational Physics, 157 (2), pp. 746-761
Wang, Z.J., Fidkowski, K., Abgrall, R., Bassi, F., Caraeni, D., Cary, A., Deconinck, H., Visbal, M., High-order CFD methods: Current status and perspectives (2013) International Journal for Numerical Methods in Fluids, 72 (8), pp. 811-845
De Wiart, C.C., (2014) Towards a Discontinuous Galerkin Solver for Scale-Resolving Simulations of Moderate Reynolds Number Flows, and Application to Industrial Cases, , Ph.D. thesis, Ecole polytechnique de Louvain/iMMC
De Wiart, C.C., Hillewaert, K., Bricteux, L., Winckelmans, W., Implicit LES of free and wall bounded turbulent flows based on the discontinuous Galerkin/symmetric interior penalty method (2015) Accepted in Int. J. Numer. Meth. Fluids (Early View)
De Wiart, C.C., Hillewaert, K., Duponcheel, M., Winckelmans, G., Assessment of a discontinuous Galerkin method for the simulation of vortical flows at high Reynolds number (2014) Int. J. Numer. Meth. Fluids, 74, pp. 469-493
Winckelmans, G., Jeanmart, H., Carati, D., On the comparison of turbulence intensities from large-eddy simulation with those from experiment or direct numerical simulation (2002) Physics of Fluids, 14 (5), p. 1809