Journal Article FZJ-2016-00674

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Numerical simulation of skin transport using Parareal

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2015
Springer Berlin

Computing and visualization in science 17(2), 99 - 108 () [10.1007/s00791-015-0246-y]

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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.

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Contributing Institute(s):
  1. Jülich Supercomputing Center (JSC)
Research Program(s):
  1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)
  2. DFG project 450829162 - Raum-Zeit-parallele Simulation multimodale Energiesystemen (450829162) (450829162)

Appears in the scientific report 2015
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Medline ; NationallizenzNationallizenz ; No Authors Fulltext ; SCOPUS
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