Conference article

Parallelization Approaches for the Time-Efficient Simulation of Hybrid Dynamical Systems: Application to Combustion Modeling

Abir Ben Khaled
IFP Energies nouvelles, Rueil-Malmaison, France

Mongi Ben Gaid
IFP Energies nouvelles, Rueil-Malmaison, France

Daniel Simon
INRIA and LIRMM-CNRS-Universitå Montpellier Sud de France, DEMAR team, Montpellier, France

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Published in: Proceedings of the 5th International Workshop on Equation-Based Object-Oriented Modeling Languages and Tools; April 19; University of Nottingham; Nottingham; UK

Linköping Electronic Conference Proceedings 84:4, p. 27-36

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Published: 2013-03-27

ISBN: 978-91-7519-621-3 (print)

ISSN: 1650-3686 (print), 1650-3740 (online)


The need for time-effiicient simulation is increasing in all engineering fields. Potential improvements in computing speeds are provided by multi-core chips and parallelism. However; the efficientt numerical integration of systems described by equation oriented languages requires the ability to exploit parallelism. This paper investigates the problem of the efficient parallelization of hybrid dynamical systems both through the model and through the solver. It is first argued that the parallelism is limited by dependency constraints between sub-systems; and that slackened synchronization between parallel blocks may provide speed-ups at the cost of induced numerical errors; which are theoretically examined. Then two methods for automatic block diagonalization are presented; using bipartite graphs and hypergraphs. The application of the latter method to hybrid dynamical systems; both from the continuous state variables and discontinuities point or view; is investigated. Finally; the model of a mono-cylinder engine is analyzed from equations point of view and a possible split using the hypergraph method is presented and discussed.


Parallel computing; model decomposition; delay error; dependencies constraints; multicore simulation


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