Nek5000

Stability tools for the spectral-element code Nek5000: application to jet-in-crossflow We demonstrate the use of advanced linear stability tools developed for the spectral-element code Nek5000 to investigate the dynamics of nonlinear flows in moderately complex geometries. The aim of stability calculations is to identify the driving mechanism as well as the region most sensitive to the instability: the wavemaker. We concentrate on global linear stability analysis, which considers the linearised Navier--Stokes equations and searches for growing small disturbances, i.e. so-called linear global modes. In the structural sensitivity analysis these modes are associated to the eigenmodes of the direct and adjoint linearised Navier--Stokes operators, and the wavemaker is defined as the overlap of the strongest direct and adjoint eigenmodes. The large eigenvalue problems are solved using matrix-free methods adopting the time-stepping Arnoldi approach. We present here our implementation in Nek5000 with the ARPACK library on a number of test cases.


References in zbMATH (referenced in 73 articles )

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  1. Brown et al.: libCEED: Fast algebra for high-order element-based discretizations (2021) not zbMATH
  2. Guerrero, Byron; Lambert, Martin F.; Chin, Rey C.: Transient dynamics of accelerating turbulent pipe flow (2021)
  3. Loiseau, Jean-Christophe; Brunton, Steven L.; Noack, Bernd R.: From the POD-Galerkin method to sparse manifold models (2021)
  4. Ma, Yuchen; Peltier, W. R.: Parametrization of irreversible diapycnal diffusivity in salt-fingering turbulence using DNS (2021)
  5. Abreu, Leandra I.; Cavalieri, André V. G.; Schlatter, Philipp; Vinuesa, Ricardo; Henningson, Dan S.: Spectral proper orthogonal decomposition and resolvent analysis of near-wall coherent structures in turbulent pipe flows (2020)
  6. Blanchard, Antoine; Bergman, Lawrence A.; Vakakis, Alexander F.: Vortex-induced vibration of a linearly sprung cylinder with an internal rotational nonlinear energy sink in turbulent flow (2020)
  7. Chen, Xue; Chung, Yongmann M.; Wan, Minping: Uniform-momentum zones in a turbulent pipe flow (2020)
  8. Le Clainche, Soledad; Vega, José M.: A review on reduced order modeling using DMD-based methods (2020)
  9. Negi, P. S.; Hanifi, A.; Henningson, D. S.: On the linear global stability analysis of rigid-body motion fluid-structure-interaction problems (2020)
  10. Offermans, N.; Peplinski, A.; Marin, O.; Schlatter, P.: Adaptive mesh refinement for steady flows in Nek5000 (2020)
  11. Picella, F.; Robinet, J.-Ch.; Cherubini, S.: On the influence of the modelling of superhydrophobic surfaces on laminar-turbulent transition (2020)
  12. Romanò, Francesco; Türkbay, Tuǧçe; Kuhlmann, Hendrik C.: Lagrangian chaos in steady three-dimensional lid-driven cavity flow (2020)
  13. Sahoo, Swarandeep; Sreenivasan, Binod: Convection in a rapidly rotating cylindrical annulus with laterally varying boundary heat flux (2020)
  14. Sakievich, P. J.; Peet, Y. T.; Adrian, R. J.: Temporal dynamics of large-scale structures for turbulent Rayleigh-Bénard convection in a moderate aspect-ratio cylinder (2020)
  15. Shaabani-Ardali, Léopold; Sipp, Denis; Lesshafft, Lutz: Optimal triggering of jet bifurcation: an example of optimal forcing applied to a time-periodic base flow (2020)
  16. Tanarro, Á.; Vinuesa, R.; Schlatter, P.: Effect of adverse pressure gradients on turbulent wing boundary layers (2020)
  17. Wakim, Arnold; Brion, Vincent; Dolfi-Bouteyre, Agnès; Jacquin, Laurent: A vortex pair in ground effect, dynamics and optimal control (2020)
  18. Yim, Eunok; Billant, P.; Gallaire, F.: Nonlinear evolution of the centrifugal instability using a semilinear model (2020)
  19. Balachandar, S.; Liu, Kai; Lakhote, Mandar: Self-induced velocity correction for improved drag estimation in Euler-Lagrange point-particle simulations (2019)
  20. Bello-Maldonado, Pedro D.; Fischer, Paul F.: Scalable low-order finite element preconditioners for high-order spectral element Poisson solvers (2019)

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