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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  4. Le Clainche, Soledad; Vega, José M.: A review on reduced order modeling using DMD-based methods (2020)
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  8. Romanò, Francesco; Türkbay, Tuǧçe; Kuhlmann, Hendrik C.: Lagrangian chaos in steady three-dimensional lid-driven cavity flow (2020)
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  14. Wu, Haotian; Romanò, Francesco; Kuhlmann, Hendrik C.: Attractors for the motion of a finite-size particle in a two-sided lid-driven cavity (2020)
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  16. Balachandar, S.; Liu, Kai; Lakhote, Mandar: Self-induced velocity correction for improved drag estimation in Euler-Lagrange point-particle simulations (2019)
  17. Bello-Maldonado, Pedro D.; Fischer, Paul F.: Scalable low-order finite element preconditioners for high-order spectral element Poisson solvers (2019)
  18. Blanchard, Antoine; Mowlavi, Saviz; Sapsis, Themistoklis P.: Control of linear instabilities by dynamically consistent order reduction on optimally time-dependent modes (2019)
  19. Capuano, Francesco; Palumbo, Andrea; de Luca, Luigi: Comparative study of spectral-element and finite-volume solvers for direct numerical simulation of synthetic jets (2019)
  20. David Zwick: ppiclF: A Parallel Particle-In-Cell Library in Fortran (2019) not zbMATH

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