Skip to main content

Parallelized block-structured Newton-type methods in dynamic process simulation

  • Conference paper
  • First Online:
Applied Parallel Computing Large Scale Scientific and Industrial Problems (PARA 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1541))

Included in the following conference series:

  • 130 Accesses

Abstract

The parallelization of numerical methods for the solution of initial value problems for large systems of differential algebraic equations (DAE’s) arising from the dynamic process simulation of chemical plants is considered. Due to a unit-oriented modeling the systems of DAE’s are structured into subsystems. By merging subsystems to blocks, block-structured Newton-type methods are used for their solution. These methods enable a coarse grained parallelization. Results from dynamic simulation runs for industrial distillation plants on parallel computers are given.

This work was supported by the Federal Ministry of Education, Science, Research and Technology, Germany under grants GA7FVB-3.0M370 and GR7FV1.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aspen Tech: SPEEDUP, User Manual, Library Manual, Aspen Technology, Inc., Cambridge, Massachusetts, USA, (1995)

    Google Scholar 

  2. Borchardt, J., Grund, F., Horn, D., Michael, T.: Parallelized Numerical Methods for Large-Scale Dynamic Process Simulation. In: Sydow, A. (ed.), Proceedings of the 15th IMACS World Congress on Scientific Computation, Wissenschaft & Technik Verlag, Berlin, Volume I, (1997) 547–552

    Google Scholar 

  3. Brenan, K.E., Campbell, S.L., Petzold, L.R.: Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, North-Holland, New York, (1989)

    MATH  Google Scholar 

  4. Brüll, L., Pallaske U.: On Consistent Initialization of Differential-Algebraic Equations with Discontinuities. In: Wacker, Hj., Zulehner W. (eds.): Proceedings of the Fourth Conference on Mathematics in Industry, (1991) 213–217

    Google Scholar 

  5. Gräb, R., Günther, M., Wever, U., Zheng, Q.: Optimization of Parallel Multilevel-Newton Algorithms on Workstation Clusters. In: L. Bouge et al. (Eds.): Euro-Par96 Parallel Processing, Berlin, Lecture Notes in Computer Science 1124, Springer-Verlag, Berlin Heidelberg, (1996) 91–96

    Chapter  Google Scholar 

  6. Hoyer, W., Schmidt, J.W.: Newton-Type Decomposition Methods for Equations Arising in Network Analysis, ZAMM 64, No. 9, (1984) 397–405

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Bo Kågström Jack Dongarra Erik Elmroth Jerzy Waśniewski

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Borchardt, J. (1998). Parallelized block-structured Newton-type methods in dynamic process simulation. In: Kågström, B., Dongarra, J., Elmroth, E., Waśniewski, J. (eds) Applied Parallel Computing Large Scale Scientific and Industrial Problems. PARA 1998. Lecture Notes in Computer Science, vol 1541. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0095316

Download citation

  • DOI: https://doi.org/10.1007/BFb0095316

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65414-8

  • Online ISBN: 978-3-540-49261-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics