Speck, R, Ruprecht, D, Krause, R et al. (4 more authors) (2014) Integrating an N -Body Problem with SDC and PFASST. In: Erhel, J, Gander, MJ, Halpern, L, Pichot, G, Sassi, T and Widlund, O, (eds.) Domain Decomposition Methods in Science and Engineering XXI. 21st International Conference on Domain Decomposition Methods, 25-29 Jun 2012, Rennes, France. Lecture Notes in Computational Science and Engineering, 98 . Springer International Publishing , pp. 637-645. ISBN 978-3-319-05788-0
Abstract
Vortex methods for the Navier–Stokes equations are based on a Lagrangian particle discretization, which reduces the governing equations to a first-order initial value system of ordinary differential equations for the position and vorticity of N particles. In this paper, the accuracy of solving this system by time-serial spectral deferred corrections (SDC) as well as by the time-parallel Parallel Full Approximation Scheme in Space and Time (PFASST) is investigated. PFASST is based on intertwining SDC iterations with differing resolution in a manner similar to the Parareal algorithm and uses a Full Approximation Scheme (FAS) correction to improve the accuracy of coarser SDC iterations. It is demonstrated that SDC and PFASST can generate highly accurate solutions, and the performance in terms of function evaluations required for a certain accuracy is analyzed and compared to a standard Runge–Kutta method.
Metadata
Item Type: | Proceedings Paper |
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Copyright, Publisher and Additional Information: | © 2014, Springer International Publishing Switzerland. This is an author produced version of a paper published in Lecture Notes in Computational Science and Engineering. The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-05789-7_61. Uploaded in accordance with the publisher's self-archiving policy. |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mechanical Engineering (Leeds) > Institute of Engineering Thermofluids, Surfaces & Interfaces (iETSI) (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 12 May 2016 10:50 |
Last Modified: | 22 Jan 2018 00:14 |
Published Version: | http://dx.doi.org/10.1007/978-3-319-05789-7_61 |
Status: | Published |
Publisher: | Springer International Publishing |
Series Name: | Lecture Notes in Computational Science and Engineering |
Identification Number: | 10.1007/978-3-319-05789-7_61 |
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Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:90540 |