Time-parallel multiscale/multiphysics framework

G. Frantziskonis; K. Muralidharan; P. Deymier; S. Simunovic; P. Nukala; S. Pannala

doi:10.1016/j.jcp.2009.07.035

Time-parallel multiscale/multiphysics framework

G. Frantziskonis, K. Muralidharan, P. Deymier, S. Simunovic, P. Nukala, S. Pannala

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

We introduce the time-parallel compound wavelet matrix method (tpCWM) for modeling the temporal evolution of multiscale and multiphysics systems. The method couples time parallel (TP) and CWM methods operating at different spatial and temporal scales. We demonstrate the efficiency of our approach on two examples: a chemical reaction kinetic system and a non-linear predator-prey system. Our results indicate that the tpCWM technique is capable of accelerating time-to-solution by 2-3-orders of magnitude and is amenable to efficient parallel implementation.

Original language	English (US)
Pages (from-to)	8085-8092
Number of pages	8
Journal	Journal of Computational Physics
Volume	228
Issue number	21
DOIs	https://doi.org/10.1016/j.jcp.2009.07.035
State	Published - Nov 20 2009

Keywords

Parallel-in-time
Wavelet-based multiscaling

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1016/j.jcp.2009.07.035

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title = "Time-parallel multiscale/multiphysics framework",

abstract = "We introduce the time-parallel compound wavelet matrix method (tpCWM) for modeling the temporal evolution of multiscale and multiphysics systems. The method couples time parallel (TP) and CWM methods operating at different spatial and temporal scales. We demonstrate the efficiency of our approach on two examples: a chemical reaction kinetic system and a non-linear predator-prey system. Our results indicate that the tpCWM technique is capable of accelerating time-to-solution by 2-3-orders of magnitude and is amenable to efficient parallel implementation.",

keywords = "Parallel-in-time, Wavelet-based multiscaling",

author = "G. Frantziskonis and K. Muralidharan and P. Deymier and S. Simunovic and P. Nukala and S. Pannala",

note = "Funding Information: This research is sponsored by the Mathematical, Information, and Computational Sciences Division, Office of Advanced Scientific Computing Research, US Department of Energy. The work was partly performed at the Oak Ridge National Laboratory, which is managed by UT-Battelle, LLC under Contract No. De-AC05-00OR22725 . The authors thank Dr. Stuart Daw at Oak Ridge National Laboratory, Sudib Mishra at University of Arizona, and Drs. Rodney Fox and Z. Gao at Iowa State University for helpful discussions and feedback on the manuscript.",

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doi = "10.1016/j.jcp.2009.07.035",

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AU - Frantziskonis, G.

AU - Muralidharan, K.

AU - Deymier, P.

AU - Simunovic, S.

AU - Nukala, P.

AU - Pannala, S.

N1 - Funding Information: This research is sponsored by the Mathematical, Information, and Computational Sciences Division, Office of Advanced Scientific Computing Research, US Department of Energy. The work was partly performed at the Oak Ridge National Laboratory, which is managed by UT-Battelle, LLC under Contract No. De-AC05-00OR22725 . The authors thank Dr. Stuart Daw at Oak Ridge National Laboratory, Sudib Mishra at University of Arizona, and Drs. Rodney Fox and Z. Gao at Iowa State University for helpful discussions and feedback on the manuscript.

PY - 2009/11/20

Y1 - 2009/11/20

N2 - We introduce the time-parallel compound wavelet matrix method (tpCWM) for modeling the temporal evolution of multiscale and multiphysics systems. The method couples time parallel (TP) and CWM methods operating at different spatial and temporal scales. We demonstrate the efficiency of our approach on two examples: a chemical reaction kinetic system and a non-linear predator-prey system. Our results indicate that the tpCWM technique is capable of accelerating time-to-solution by 2-3-orders of magnitude and is amenable to efficient parallel implementation.

AB - We introduce the time-parallel compound wavelet matrix method (tpCWM) for modeling the temporal evolution of multiscale and multiphysics systems. The method couples time parallel (TP) and CWM methods operating at different spatial and temporal scales. We demonstrate the efficiency of our approach on two examples: a chemical reaction kinetic system and a non-linear predator-prey system. Our results indicate that the tpCWM technique is capable of accelerating time-to-solution by 2-3-orders of magnitude and is amenable to efficient parallel implementation.

KW - Parallel-in-time

KW - Wavelet-based multiscaling

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M3 - Article

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EP - 8092

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 21

ER -

Time-parallel multiscale/multiphysics framework

Abstract

Keywords

ASJC Scopus subject areas

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