Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
The TNG50 Simulation of the IllustrisTNG Project: Bridging the Gap Between Large Cosmological Volumes and Resolved Galaxies Read chapter Read first chapter

2019 | OriginalPaper | Chapter

Application and Development of the High Order Discontinuous Galerkin Spectral Element Method for Compressible Multiscale Flows

Authors : Andrea Beck, Thomas Bolemann, David Flad, Nico Krais, Jonas Zeifang, Claus-Dieter Munz

Published in: High Performance Computing in Science and Engineering ' 18

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This paper summarizes our progress in the application and feature development of a high-order discontinuous Galerkin (DG) method for scale resolving fluid dynamics simulations on the Cray XC40 Hazel Hen cluster at HLRS. We present the extension to Chimera grid techniques which allow efficient computations on flexible meshes, and discuss data-based development of subgrid closure terms through machine learning algorithms. We also show the first results of the simulation of a challenging, high Reynolds number supersonic dual nozzle flow.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter High-Fidelity Direct Numerical Simulation of Supercritical Channel Flow Using Discontinuous Galerkin Spectral Element Method
next chapter Application of the SPH Method to Predict Primary Breakup in Complex Geometries
Footnotes
Literature
1.
M. Atak, A. Beck, T. Bolemann, D. Flad, H. Frank, F. Hindenlang, C.-D. Munz, Discontinuous Galerkin for high performance computational fluid dynamics. in High Performance Computing in Science and Engineering ’14. (Springer International Publishing, 2015), pp. 499–518
2.
J. Bardina, J. Ferziger, W. Reynolds, Improved subgrid-scale models for large-eddy simulation. In 13th Fluid and Plasma Dynamics Conference (1980), p. 1357
3.
A.R. Barron, Universal approximation bounds for superpositions of a sigmoidal function. IEEE Trans. Inf. Theory 39(3), 930–945 (1993)MathSciNetCrossRef
4.
G. Batchelor, A. Townsend, Decay of isotropic turbulence in the initial period. Proc. R. Soc. Lond. Math. Phys. Eng. Sci. 193(1035), 539–558 (1948)CrossRef
5.
A. Beck, T. Bolemann, D. Flad, H. Frank, G. Gassner, F. Hindenlang, C.-D. Munz, High-order discontinuous Galerkin spectral element methods for transitional and turbulent flow simulations. Int. J. Numer. Methods Fluids 76(8), 522–548 (2014)MathSciNetCrossRef
6.
A. Beck, T. Bolemann, D. Flad, H. Frank, N. Krais, K. Kukuschkin, M. Sonntag, C.-D. Munz, Application and development of the high order discontinuous Galerkin spectral element method for compressible multiscale flows. in High Performance Computing in Science and Engineering’17. (Springer, 2018), pp. 387–407
7.
A. Beck, D. Flad, C. Tonhäuser, G. Gassner, C.-D. Munz, On the influence of polynomial de-aliasing on subgrid scale models. Flow Turbul. Combust. 1–37 (2016)
8.
G. Cybenko, Approximation by superpositions of a sigmoidal function. Math. Control Signals Syst. 2(4), 303–314 (1989)MathSciNetCrossRef
9.
D. Flad, A. Beck, C.-D. Munz, Simulation of underresolved turbulent flows by adaptive filtering using the high order discontinuous Galerkin spectral element method. J. Comput. Phys. 313, 1–12 (2016)MathSciNetCrossRef
10.
D. Flad, G. Gassner, On the use of kinetic energy preserving DG-schemes for large eddy simulation. J. Comput. Phys. 350, 782–795 (2017)MathSciNetCrossRef
11.
M. Galbraith, J. Benek, P. Orkwis, M. Turner, A discontinuous Galerkin chimera scheme. Comput. Fluids 98, 27–53 (2014)MathSciNetCrossRef
12.
M. Gamahara, Y. Hattori, Searching for turbulence models by artificial neural network. Phys. Rev. Fluids 2(5), 054604 (2017)CrossRef
13.
G. Gassner, A. Beck, On the accuracy of high-order discretizations for underresolved turbulence simulations. Theor. Comput. Fluid Dyn. 27(3–4), 221–237 (2013)CrossRef
14.
K. He, X. Zhang, S. Ren, J. Sun, Deep residual learning for image recognition. in Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (2016), pp. 770–778
15.
S. Hickel, N. Adams, A. Domaradzki, An adaptive local deconvolution method for implicit LES. J. Comput. Phys. 213(1), 413–436 (2006)MathSciNetCrossRef
16.
D. Kim, H. Choi, Laminar flow past a sphere rotating in the streamwise direction. J. Fluid Mech. 461, 365–386 (2002)MathSciNetCrossRef
17.
A. Krizhevsky, I. Sutskever, and G. Hinton, ImageNet classification with deep convolutional neural networks. in F. Pereira, C. Burges, L. Bottou, and K. Weinberger, (Eds.), Advances in Neural Information Processing Systems 25, (Curran Associates, Inc., 2012), pp. 1097–1105
18.
Y. LeCun, B. Boser, J. Denker, D. Henderson, R. Howard, W. Hubbard, L. Jackel, Handwritten digit recognition with a back-propagation network. In Advances in Neural Information Processing Systems (1990), pp. 396–404
19.
W. McCulloch, W. Pitts, A logical calculus of the ideas immanent in nervous activity. Bull. Math. Biophys. 5(4), 115–133 (1943)MathSciNetCrossRef
20.
M. Minsky, S. Papert, Perceptron (expanded edition) (1969)
21.
S. Reuschen, Development of artificial neural networks to determine the closure terms in large eddy simulations (University of Stuttgart, Thesis, 2018)
22.
R. Rogallo, Numerical Experiments in Homogeneous Turbulence, vol. 81315. (National Aeronautics and Space Administration) (1981)
23.
J. Slotnick, A. Khodadoust, J. Alonso, D. Darmofal, W. Gropp, E. Lurie, D. Mavriplis, CFD vision 2030 study: a path to revolutionary computational aerosciences. Technical Report (NASA Langley Research Center; Hampton, VA, United States, 2014)
24.
J. Smagorinsky, General circulation experiments with the primitive equations: I. the basic experiment. Month. Weather Rev. 91(3), 99–164 (1963)CrossRef
25.
M. Sonntag, C.-D. Munz, Efficient parallelization of a shock capturing for discontinuous Galerkin methods using finite volume sub-cells. J. Sci. Comput. 70(3), 1262–1289 (2017)MathSciNetCrossRef
26.
M. Spraul, Numerical simulation of a dual nozzle with the discontinuous Galerkin spectral element method. Thesis, University of Stuttgart, 2018
27.
V. Zapryagaev, Test case p4. bypass noise-suppressing nozzle test case. Test case description, ITAM, Novosibirsk
Metadata
Title
Application and Development of the High Order Discontinuous Galerkin Spectral Element Method for Compressible Multiscale Flows
Authors
Andrea Beck
Thomas Bolemann
David Flad
Nico Krais
Jonas Zeifang
Claus-Dieter Munz
Copyright Year
2019
Book
High Performance Computing in Science and Engineering ' 18

Print ISBN: 978-3-030-13324-5

Electronic ISBN: 978-3-030-13325-2

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-13325-2_18

Premium Partner

    Image Credits