Abstract
In this paper we compare two different methods to compute time-periodic steady states of the Navier-Stokes equations. The first one is a traditional time-stepping scheme which has to be evolved until the state is reached. The second one uses periodic boundary conditions in time and uses a spectral discretization in time. The methods are compared with regard to accuracy and scalability by solving for a time-periodic Taylor-Green vortex. We show that the time-periodic steady state can be computed much faster with the spectral in time method than with the standard time-stepping method if the Womersley number is sufficiently large.
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Acknowledgment
The work of D. Hupp was supported in part by Grant No. 200021_147052 of the Swiss National Science Foundation.
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Arbenz, P., Hupp, D., Obrist, D. (2018). Comparison of Parallel Time-Periodic Navier-Stokes Solvers. In: Wyrzykowski, R., Dongarra, J., Deelman, E., Karczewski, K. (eds) Parallel Processing and Applied Mathematics. PPAM 2017. Lecture Notes in Computer Science(), vol 10777. Springer, Cham. https://doi.org/10.1007/978-3-319-78024-5_6
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DOI: https://doi.org/10.1007/978-3-319-78024-5_6
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