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.

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  1. 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)
  2. Chen, Xue; Chung, Yongmann M.; Wan, Minping: Uniform-momentum zones in a turbulent pipe flow (2020)
  3. Le Clainche, Soledad; Vega, José M.: A review on reduced order modeling using DMD-based methods (2020)
  4. Offermans, N.; Peplinski, A.; Marin, O.; Schlatter, P.: Adaptive mesh refinement for steady flows in Nek5000 (2020)
  5. Sahoo, Swarandeep; Sreenivasan, Binod: Convection in a rapidly rotating cylindrical annulus with laterally varying boundary heat flux (2020)
  6. 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)
  7. Tanarro, Á.; Vinuesa, R.; Schlatter, P.: Effect of adverse pressure gradients on turbulent wing boundary layers (2020)
  8. Wakim, Arnold; Brion, Vincent; Dolfi-Bouteyre, Agnès; Jacquin, Laurent: A vortex pair in ground effect, dynamics and optimal control (2020)
  9. Balachandar, S.; Liu, Kai; Lakhote, Mandar: Self-induced velocity correction for improved drag estimation in Euler-Lagrange point-particle simulations (2019)
  10. Bello-Maldonado, Pedro D.; Fischer, Paul F.: Scalable low-order finite element preconditioners for high-order spectral element Poisson solvers (2019)
  11. Capuano, Francesco; Palumbo, Andrea; de Luca, Luigi: Comparative study of spectral-element and finite-volume solvers for direct numerical simulation of synthetic jets (2019)
  12. David Zwick: ppiclF: A Parallel Particle-In-Cell Library in Fortran (2019) not zbMATH
  13. Ducoin, A.; Astolfi, J. A.: Wall-pressure fluctuations of laminar separation bubble based on direct numerical simulation and experiments over a hydrofoil at (\mathrmRe=450,000) (2019)
  14. Montagnani, D.; Auteri, Franco: Non-modal analysis of coaxial jets (2019)
  15. Abide, Stéphane; Viazzo, Stéphane; Raspo, Isabelle; Randriamampianina, Anthony: Higher-order compact scheme for high-performance computing of stratified rotating flows (2018)
  16. Appelquist, E.; Schlatter, P.; Alfredsson, P. H.; Lingwood, R. J.: Turbulence in the rotating-disk boundary layer investigated through direct numerical simulations (2018)
  17. Bucci, M. A.; Puckert, D. K.; Andriano, C.; Loiseau, J.-C.; Cherubini, S.; Robinet, J.-C.; Rist, U.: Roughness-induced transition by quasi-resonance of a varicose global mode (2018)
  18. Farano, M.; Cherubini, S.; De Palma, P.; Robinet, J.-C.: Nonlinear optimal large-scale structures in turbulent channel flow (2018)
  19. Fick, Lambert; Maday, Yvon; Patera, Anthony T.; Taddei, Tommaso: A stabilized POD model for turbulent flows over a range of Reynolds numbers: optimal parameter sampling and constrained projection (2018)
  20. Hufnagel, Lorenz; Canton, Jacopo; Örlü, Ramis; Marin, Oana; Merzari, Elia; Schlatter, Philipp: The three-dimensional structure of swirl-switching in bent pipe flow (2018)

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