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Hybrid-Parallel Calculation of Jacobians in Multi-Body Dynamics

[+] Author Affiliations
Jan Clauberg, Michael Leistner, Heinz Ulbrich

Technische Universität München, Garching, Germany

Paper No. DETC2013-12245, pp. V07AT10A023; 9 pages
  • ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 7A: 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
  • Portland, Oregon, USA, August 4–7, 2013
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5596-6
  • Copyright © 2013 by ASME


Implicit integration methods are often used for numerically stiff multi-body systems in order to reduce the timestep-size. But within most implicit integration methods, the jacobian of the right hand side must be calculated at every step. In case of multi-body dynamics, this is the vector of generalized forces and the calculation of its jacobian can be so expensive, that it often outweighs the advantage of a bigger step-size. For large systems, this task can take more than 99% of the whole simulation time, while it can be easily parallelized. In this paper, a hybrid-parallel implementation of calculating this jacobian is presented. With a combination of MPI and OpenMP, simulations on up to 512 cores are run. The experiments are carried out on a high-performance-computing cluster with an infiniband network. The performance of a pure MPI implementation is compared to several hybrid variants, using different numbers of OpenMP threads per process.

Copyright © 2013 by ASME



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