Summary
The “parareal in time” algorithm introduced in Lions et al. [2001] enables parallel computation using a decomposition of the interval of time integration. In this paper, we adapt this algorithm to solve the challenging Navier-Stokes problem. The coarse solver, based on a larger timestep, may also involve a coarser discretization in space. This helps to preserve stability and provides for more significant savings.
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Fischer, P.F., Hecht, F., Maday, Y. (2005). A Parareal in Time Semi-implicit Approximation of the Navier-Stokes Equations. In: Barth, T.J., et al. Domain Decomposition Methods in Science and Engineering. Lecture Notes in Computational Science and Engineering, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26825-1_44
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DOI: https://doi.org/10.1007/3-540-26825-1_44
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22523-2
Online ISBN: 978-3-540-26825-3
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