Towards Adaptive Mesh Refinement for the Spectral Element Solver Nek5000

  • N. OffermansEmail author
  • A. Peplinski
  • O. Marin
  • P. F. Fischer
  • P. Schlatter
Conference paper
Part of the ERCOFTAC Series book series (ERCO, volume 25)


When performing computational fluid dynamics (CFD) simulations of complex flows, the a priori knowledge of the flow physics and the location of the dominant flow features are usually unknown. For this reason, the development of adaptive remeshing techniques is crucial for large-scale computational problems. Some work has been made recently to provide Nek5000 with adaptive mesh refinement (AMR) capabilities in order to facilitate the generation of the grid and push forward the limit in terms of problem size and complexity [10].


  1. 1.
    El Khoury, G.K., Schlatter, P., Noorani, A., Fischer, P.F., Brethouwer, G., Johansson, A.: Direct numerical simulation of turbulent pipe flow at moderately high Reynolds numbers. Flow Turbul. Combust. 91(3), 475–495 (2013)CrossRefGoogle Scholar
  2. 2.
    Fischer, P.F.: An overlapping Schwarz method for spectral element solution of the incompressible Navier–Stokes equations. J. Comput. Phys. (1997)Google Scholar
  3. 3.
    Fischer, P.F., Lottes J., Pointer D., Siegel A.: Petascale algorithms for reactor hydrodynamics. J. Phys.: Conf. Ser. 125(1), 012076 (2008)Google Scholar
  4. 4.
    Fischer, P.F., Lottes, J., Kerkemeier, S.:
  5. 5.
    Hosseini, S.M., Vinuesa, R., Schlatter, P., Hanifi, A., Henningson, D.: Direct numerical simulation of the flow around a wing section at moderate Reynolds number. Int. J. Heat Fluid Flow 61, 117–128 (2016)CrossRefGoogle Scholar
  6. 6.
    Hypre, high performance preconditioners: User’s Manual. Center for Applied Scientific Computing Lawrence Livermore National LaboratoryGoogle Scholar
  7. 7.
    Lottes, J.: Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems. Springer Theses, Berlin (2017)CrossRefGoogle Scholar
  8. 8.
    Offermans, N. et al.: On the Strong Scaling of the Spectral Element Solver Nek5000 on Petascale Systems. Proceedings of the EASC 2016, Stockholm, Sweden, 5:1–5:10Google Scholar
  9. 9.
    Peplinski, A., Schlatter, P., Henningson, D.: Investigations of stability and transition of a jet in crossflow Using DNS. In: Theofilis, V., Soria, J. (eds.) Proceedings of the International Conference on Instability and Control of Massively Separated Flows, pp. 7–18 . Springer, Berlin (2015)zbMATHGoogle Scholar
  10. 10.
    Peplinski, A., Fischer, P.F., Schlatter, P.: Parallel performance of h-type adaptive mesh refinement for Nek5000. In: Proceedings of the Exascale Applications and Software Conference 2016. Stockholm, SwedenGoogle Scholar
  11. 11.
    Tufo, H.M., Fischer, P.F.: Fast parallel direct solvers for coarse grid problems. J. Parallel Distrib. Comput. 61(2), 151–177 (2001)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • N. Offermans
    • 1
    Email author
  • A. Peplinski
    • 1
  • O. Marin
    • 2
  • P. F. Fischer
    • 3
  • P. Schlatter
    • 1
  1. 1.Linné FLOW Centre, KTH MechanicsRoyal Institute of TechnologyStockholmSweden
  2. 2.Mathematics and Computer Science DivisionArgonne National LaboratoryLemontUSA
  3. 3.Siebel Center for Computer ScienceUniversity of Illinois, Urbana-ChampaignChampaignUSA

Personalised recommendations