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 TILDA Project—Objectives, Project and Activities Read chapter Read first chapter

2021 | OriginalPaper | Chapter

Parallelisation to Several Tens-of-Thousands of Cores

Authors : F. Bassi, L. Botti, L. Verzeroli, R. Hartmann, J. Jägersküpper, E. Martin, M. Lorteau, P. E. Vincent, F. D. Witherden, B. C. Vermeire, J. S. Park, A. Iyer, K. Puri, D. Gutzwiller, C. Hirsch, F. Chalot

Published in: TILDA: Towards Industrial LES/DNS in Aeronautics

Publisher: Springer International Publishing

Log in

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

search-config
loading …

Abstract

In this Section a detailed and quantitative understanding is provided of how algorithms should be designed and implemented to effectively target a range of existing and emerging ‘massively parallel’ hardware platforms. The goal set up in the TILDA project was to demonstrate the capability and efficiency of the high-order methods developed by the partners on up to 50,000 cores.

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 Curvilinear Mesh Adaptation
next chapter I/O Post- and Co-Processing for High-Order Methods
Literature
1.
F.D. Witherden, A.M. Farrington, P.E. Vincent, PyFR: an open source framework for solving advection-diffusion type problems on streaming architectures using the flux reconstruction approach. Comput. Phys. Commun. 185(11), 3028 (2014)CrossRef
2.
3.
4.
L. Botti, Influence of reference-to-physical frame mappings on approximation properties of discontinuous piecewise polynomial spaces. J. Sci. Comput. 1–29 (2011)
5.
V.V. Rusanov, Calculation of interaction of non-steady shock waves with obstacles. J. Comp. Math. Phys. USSR 1, 267 (1961)
6.
M.P. Forum, Mpi: A Message-Passing Interface Standard (Tech. rep, Knoxville, TN, USA, 1994)
7.
G. Karypis, V. Kumar, METIS, a software package for partitioning unstructured graphs, partitioning meshes, and computing fill-reducing orderings of sparse matrices. Technical Report Version 4.0, University of Minnesota, Department of Computer Science/Army HPC Research Center (1998)
8.
9.
A. Basermann, H.P. Kersken, A. Schreiber, T. Gerhold, J. Jägersküpper, N. Kroll, J.B. aus, E. Kügeler, T. Alrutz, C. Simmendinger, K. Feldhoff, O. Krzikalla, R. Müller-Pfefferkorn, M. Puetz, P. Aumann, O. Knobloch, J. Hunger, C. Zscherp, HICFD: highly efficient implementation of CFD codes for HPC many-core architectures, in Competence in High Performance Computing 2010: Proceedings of an International Conference on Competence in High Performance Computing (Springer, 2012), p. 1–13
10.
T. Alrutz, J. Backhaus, T. Brandes, V. End, T. Gerhold, A. Geiger et al., GASPI: a partitioned global address space programming interface, in Facing the Multicore-Challenge III, Lecture Notes in Computer Science, vol. 7686 (Springer, 2013), pp. 135–136
11.
12.
13.
14.
15.
F. Renac, M. de la Llave Plata, E. Martin, J.B. Chapelier, V. Couaillier, Aghora: a high-order DG solver for turbulent flow simulations, in IDIHOM—Industrialization of High-Order Methods—A Top Down Approach, ed. by N. Kroll, C. Hirsch, F. Bassi, C. Johnston, K. Hillewaert. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 128 (Springer, 2015), pp. 315–335
16.
B. Cockburn, C.W. Shu, Runge-Kutta discontinuous Galerkin methods for convection-dominated problems. J. Sci. Comput. 16, 173 (2001)MathSciNetCrossRef
17.
N. Kroll, H. Bieler, H. Deconinck, V. Couaillier, H. van der Ven, K. Sorensen (eds.), ADIGMA—A European initiative on the development of adaptive higher-order variational methods for aerospace applications, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 113 (Springer, 2010)
18.
G. Karypis, V. Kumar, A fast and high quality multilevel scheme for partitioning irregular graphs. SIAM J. Sci. Comput. 20(1), 359 (1998)MathSciNetCrossRef
19.
C. Geuzaine, J.F. Remacle, Gmsh: a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities. Int. J. Numer. Meth. Eng. 79(11), 1309 (2009)CrossRef
20.
M. Lorteau, M. de la Llave Plata, V. Couaillier, Turbulent jet simulation using high-order DG methods for aeroacoustic analysis. Int. J. Heat and Fluid Flow 70, 380 (2018)
21.
Council of European Union. Council regulation (EU) no 71/2008: Setting up the Clean Sky Joint Undertaking (2007)
22.
F. Collier, Overview of NASA’s environmentally responsible aviation (ERA) project, in NASA Environmentally Responsible Aviation Project Pre-Proposal Meeting (Washington, DC, 2010)
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. Tech. Rep. NASA/CR-2014-218178, NF1676L-18332, National Aeronautics and Space Administration (2014)
24.
P. Tucker, Computation of unsteady turbomachinery flows: Part 1-progress and challenges. Prog. Aerosp. Sci. 47(7), 522 (2011)MathSciNetCrossRef
25.
E.M. Curtis, H.P. Hodson, M.R. Banieghbal, J.D. Denton, R.J. Howell, N.W. Harvey, Development of blade profiles for low-pressure turbine applications. J. Turbomach. 119(3), 531 (1997)CrossRef
26.
Air passenger market analysis—December 2015. Tech. rep., International Air Transport Association (2015)
27.
J. Cui, V. Rao, P.G. Tucker, Numerical investigation of contrasting flow physics in different zones of a high-lift low-pressure turbine blade. J. Turbomach. 138(1), 10 (2015)
28.
J. Gier, M. Franke, N. Hubner, T. Schroder, Designing low pressure turbines for optimized airfoil lift. J. Turbomach. 132(3), 12 (2010)CrossRef
29.
P. Stadtmüller, L. Fottner, A. Fiala, Experimental and numerical investigation of wake-induced transition on a highly loaded LP turbine at low Reynolds numbers, in Proceedings of ASME Turbo Expo 2000 (Munich, Germany, 2000). 2000-GT-0269
30.
P. Stadtmüller, L. Fottner, A test case for the numerical investigation of wake passing effects on a highly loaded LP turbine cascade blade, in Proceedings of ASME Turbo Expo 2001 (New Orleans, Louisiana, 2001). 2001-GT-0311
31.
F.D. Witherden, B.C. Vermeire, P.E. Vincent, Heterogeneous computing on mixed unstructured grids with PyFR. Comput. Fluids 120, 173 (2015)MathSciNetCrossRef
32.
33.
34.
F. Palacios, J. Alonso, K. Duraisamy, M. Colonno, J. Hicken, A. Aranake, A. Campos, S. Copeland, T. Economon, A. Lonkar, T. Lukaczyk, T. Taylor, Stanford University Unstructured (SU2): an open-source integrated computational environment for multi-physics simulation and design, in Proceedings of 51st AIAA Aerospace Sciences Meeting (Grapevine, Texas, 2013), pp. 1–60
35.
36.
37.
J. Langguth, N. Wu, J. Chai, X. Cai, On the GPU performance of cell-centered finite volume method over unstructured tetrahedral meshes, in Proceedings of 3rd Workshop on Irregular Applications Architectures and Algorithms—IA3 ’13 (ACM Press, Denver, Colorado, 2013)
38.
T.J. Barth, P.O. Frederickson, Higher order solution of the Euler equations on unstructured grids using quadratic reconstruction, in Proceedings of 28th AIAA Aerospace Sciences Meeting (Reno, Nevada, 1990). AIAA 1990-0013
39.
A. Harten, B. Engquist, S. Osher, S.R. Chakravarthy, Uniformly high order accurate essentially non-oscillatory schemes III. J. Comput. Phys. 71(2), 231 (1987)MathSciNetCrossRef
40.
R. Abgrall, On essentially non-oscillatory schemes on unstructured meshes: analysis and implementation. ICASE Report (92-74) (1992)
41.
42.
W.H. Reed, T.R. Hill, Triangular mesh methods for the neutron transport equation. Tech. Rep. LA-UR-73-479, Los Alamos National Laboratory, New Mexico, USA (1973)
43.
J.S. Hesthaven, T. Warburton, Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications, vol. 54 (Springer, New York, 2008)
44.
D.A. Kopriva, J.H. Kolias, A conservative staggered-grid Chebyshev multidomain method for compressible flows. J. Comput. Phys. 125(1), 244 (1996)MathSciNetCrossRef
45.
Y. Liu, M. Vinokur, Z.J. Wang, Spectral difference method for unstructured grids I: basic formulation. J. Comput. Phys. 216(2), 780 (2006)MathSciNetCrossRef
46.
Z.J. Wang, High-order methods for the Euler and Navier-Stokes equations on unstructured grids. Prog. Aerosp. Sci. 43(1–3), 1 (2007)CrossRef
47.
H.T. Huynh, A flux reconstruction approach to high-order schemes including discontinuous Galerkin methods, in Proceedings of 18th AIAA Computational Fluid Dynamics Conference (Miami, Florida, 2007). AIAA 2007-4079
48.
P.E. Vincent, P. Castonguay, A. Jameson, A new class of high-order energy stable flux reconstruction schemes. J. Sci. Comput. 47(1), 50 (2011)MathSciNetCrossRef
49.
C.A. Kennedy, M.H. Carpenter, R.M. Lewis, Low-storage, explicit runge-kutta schemes for the compressible navier-stokes equations. Appl. Numer. Math. 35(3), 177 (2000)MathSciNetCrossRef
50.
Z. Johan, Data parallel Finite Element techniques for large-scale Computational Fluid Dynamics. Ph.D. thesis, Stanford University (1992)
51.
Q. Dinh, T. Fanion, Applications of dual Schur complement preconditioning to problems in Computational Fluid Dynamics and computational electromagnetics, in DD9 Conference (Bergen, Norway, 1996)
52.
F. Shakib, T. Hughes, Z. Johan, A new finite Element formulation for Computational Fluid Dynamics: X. The compressible Euler and Navier-Stokes equations. Comput. Meth. Appl. Mech. Eng. 89, 141 (1991)
53.
F. Shakib, T. Hughes, Z. Johan, A multi-element group preconditioned GMRES algorithm for nonsymmetric systems arising in Finite Element analysis. Comput. Meth. Appl. Mech. Eng. 75, 415 (1989)MathSciNetCrossRef
54.
F. Chalot, Q. Dinh, M. Mallet, A. Naïm, M. Ravachol, A multi-platform shared- or distributed-memory Navier-Stokes code, in Parallel CFD ‘97 (Manchester, UK, 1997)
55.
L. Thébault, E. Petit, M. Tchiboukdjian, Q. Dinh, W. Jalby, Divide and Conquer parallelization of Finite Element Method assembly. Adv. Parallel Comput. 25, 753 (2013)
56.
M. Garcia-Gasulla, G. Houzeaux, R. Ferrer, A. Artigues, V. López, J. Labarta, M. Vázquez, Mpi+x: task-based parallelisation and dynamic load balance of Finite Element assembly. Int. J. Comput. Fluid Dyn. 33(3), 115 (2019)MathSciNetCrossRef
57.
F. Chalot, F. Dagrau, M. Mallet, P. Normand, P. Yser, Higher-order RANS and DES in an industrial stabilized Finite Element code, in IDIHOM—Industrialisation of High-Order Methods—A Top Down Approach. Results of a collaborative research project funded by the European Union, 2010–2014, ed. by N. Kroll, C. Hirsch, F. Bassi, C. Johnston, K. Hillewaert. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 128 (Springer, 2015), chap. II.2 High-Order Solution Methods, pp. 489–519
58.
F. Chalot, Industrial Aerodynamics, in Encyclopedia of Computational Mechanics, ed. by E. Stein, R. de Borst, T. Hughes. Computational Fluid Dynamics, vol. 3 (Wiley, 2004), chap. 12
Metadata
Title
Parallelisation to Several Tens-of-Thousands of Cores
Authors
F. Bassi
L. Botti
L. Verzeroli
R. Hartmann
J. Jägersküpper
E. Martin
M. Lorteau
P. E. Vincent
F. D. Witherden
B. C. Vermeire
J. S. Park
A. Iyer
K. Puri
D. Gutzwiller
C. Hirsch
F. Chalot
Copyright Year
2021
Book
TILDA: Towards Industrial LES/DNS in Aeronautics

Print ISBN: 978-3-030-62047-9

Electronic ISBN: 978-3-030-62048-6

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-3-030-62048-6_8

Premium Partners

    Image Credits