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T. Pham, D. Tromeur-Dervout, "Proper Orthogonal Decomposition in Decoupling Dynamical Systems", in , (Editors), "Proceedings of the Second International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering", Civil-Comp Press, Stirlingshire, UK, Paper 55, 2011. doi:10.4203/ccp.95.55

Keywords: proper orthogonal decomposition, reduced-order modeling, dynamical systems, parallel computation.

Summary

parallel computing. POD is well known for model reduction for different applications. It uses snapshots of the solution at previous time steps to generate a low dimensional approximation space for the solution. Here we focus on the potential of this method in order to decouple a dynamical system into dynamical subsystems split on a multiprocessors architecture. Each processor is in charge of a subsystem in a non-reduced form while it keeps a representation of the other subsystems managed by the other processors under a reduced form. The analysis of the behavior of the error on the decoupling of the dynamical system using the POD, allows us to define a mathematical criterion for updating the basis of the reduced model. Moreover, we enhance a technique to update the POD basis on the fly in order to retrieve most part of dynamics of the solution on the simulation's time interval. Some parallelism results on nonlinear large dynamical systems show the efficiency of wall clock times for the method.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 95 PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON PARALLEL, DISTRIBUTED, GRID AND CLOUD COMPUTING FOR ENGINEERING Edited by: Paper 55 Proper Orthogonal Decomposition in Decoupling Dynamical Systems T. Pham and D. Tromeur-Dervout University of Lyon, CNRS, University Lyon 1, Institute Camille Jordan UMR5208, Villeurbanne, France doi:10.4203/ccp.95.55 purchase the full-text of this paper Full Bibliographic Reference for this paper T. Pham, D. Tromeur-Dervout, "Proper Orthogonal Decomposition in Decoupling Dynamical Systems", in , (Editors), "Proceedings of the Second International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering", Civil-Comp Press, Stirlingshire, UK, Paper 55, 2011. doi:10.4203/ccp.95.55 Keywords: proper orthogonal decomposition, reduced-order modeling, dynamical systems, parallel computation. Summary parallel computing. POD is well known for model reduction for different applications. It uses snapshots of the solution at previous time steps to generate a low dimensional approximation space for the solution. Here we focus on the potential of this method in order to decouple a dynamical system into dynamical subsystems split on a multiprocessors architecture. Each processor is in charge of a subsystem in a non-reduced form while it keeps a representation of the other subsystems managed by the other processors under a reduced form. The analysis of the behavior of the error on the decoupling of the dynamical system using the POD, allows us to define a mathematical criterion for updating the basis of the reduced model. Moreover, we enhance a technique to update the POD basis on the fly in order to retrieve most part of dynamics of the solution on the simulation's time interval. Some parallelism results on nonlinear large dynamical systems show the efficiency of wall clock times for the method. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £85 +P&P)
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