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.
CITATION STYLE
Arbenz, P., Hupp, D., & Obrist, D. (2018). Comparison of parallel time-periodic Navier-Stokes solvers. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10777 LNCS, pp. 57–67). Springer Verlag. https://doi.org/10.1007/978-3-319-78024-5_6
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