A time-staggered partitioned coupling algorithm for transient heat conduction

P. B. Nakshatrala, K. B. Nakshatrala, D. A. Tortorelli

Research output: Contribution to journalArticlepeer-review

Abstract

We present a time-staggered partitioned coupling algorithm for transient heat conduction finite element simulations. This algorithm divides a large structural mesh into a number of smaller subdomains, solves the individual subdomains separately and couples the solutions to obtain the response to the original problem. The proposed algorithm is a mixed multi-timestep algorithm and enables arbitrary time integration schemes and meshes to be coupled with different timesteps in the various subdomains. In this procedure, the solution of each partition is separately evaluated over a system timestep after which the interfacial conditions are enforced making this a staggered algorithm that facilitates parallel computation. We present examples showing the feasibility of the coupling algorithm and discuss the merits in terms of convergence and stability.

Original languageEnglish (US)
Pages (from-to)1387-1406
Number of pages20
JournalInternational Journal for Numerical Methods in Engineering
Volume78
Issue number12
DOIs
StatePublished - Jun 18 2009

Keywords

  • Multi-timestep coupling
  • Non-linear heat conduction
  • Staggered schemes
  • Subcycling time-stepping

ASJC Scopus subject areas

  • Numerical Analysis
  • General Engineering
  • Applied Mathematics

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