Kreienbuehl, A, Naegel, A, Ruprecht, D et al. (3 more authors) (2015) Numerical simulation of skin transport using Parareal. Computing and Visualization in Science, 17 (2). pp. 99-108. ISSN 1432-9360
Abstract
In silico investigation of skin permeation is an important but also computationally demanding problem. To resolve all scales involved in full detail will not only require exascale computing capacities but also suitable parallel algorithms. This article investigates the applicability of the time-parallel Parareal algorithm to a brick and mortar setup, a precursory problem to skin permeation. The C++ library Lib4PrM implementing Parareal is combined with the UG4 simulation framework, which provides the spatial discretization and parallelization. The combination’s performance is studied with respect to convergence and speedup. It is confirmed that anisotropies in the domain and jumps in diffusion coefficients only have a minor impact on Parareal’s convergence. The influence of load imbalances in time due to differences in number of iterations required by the spatial solver as well as spatio-temporal weak scaling is discussed.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Springer-Verlag Berlin Heidelberg 2015. This is an author produced version of a paper published in Computing and Visualization in Science. The final publication is available at Springer via http://dx.doi.org/ 10.1007/s00791-015-0246-y |
Keywords: | Skin transport; Parareal; Space–time parallelism; Weak scaling; Load balancing |
Dates: |
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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: | 05 Oct 2015 15:48 |
Last Modified: | 24 Oct 2016 17:43 |
Published Version: | http://dx.doi.org/10.1007/s00791-015-0246-y |
Status: | Published |
Publisher: | Springer Verlag |
Identification Number: | 10.1007/s00791-015-0246-y |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:90444 |