Summary
The paper is concerned with a hybrid finite element — spectral Chebyshev parallel solver of the incompressible Navier-Stokes equations. A domain decomposition, well adapted to the computation of wake or jet type flow, is assumed. Subdomains with complex geometry are handled with finite elements and the other ones with the highly accurate spectral method. The iterative resolution of the multi-domain problem is carried out with the “Conjugate Gradient Boundary Iteration” method. Here we focus on its optimal preconditioning when Gauss-Lobatto type grids are involved. The resulting algorithm is then applied to the flow past a cylinder and over a backward facing step at higher Reynolds numbers. For the latter case the numerical results display some transitional laminar-turbulent behaviour of the flow arising from unstable steady states. Numerical results are presented for both convective and absolute instability regions.
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References
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Borchers, W., Kräutle, S., Pasquetti, R., Peyret, R., Rautmann, R. (2003). Multi-domain Finite Element — Spectral Chebyshev Parallel Navier-Stokes Solver for Viscous Flow Problems. In: Hirschel, E.H. (eds) Numerical Flow Simulation III. Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), vol 82. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45693-3_1
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DOI: https://doi.org/10.1007/978-3-540-45693-3_1
Publisher Name: Springer, Berlin, Heidelberg
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