Multi-time-step domain coupling method with energy control

N. Mahjoubi, Steen Krenk

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

A multi-time-step integration method is proposed for solving structural dynamics problems on multiple domains. The method generalizes earlier state-space integration algorithms by introducing displacement constraints via Lagrange multipliers, representing the time-integrated constraint forces over the individual time step. It is demonstrated that displacement continuity between the subdomains leads to cancelation of the interface contributions to the energy balance equation, and thus stability and algorithmic damping properties of the original algorithms are retained. The various subdomains can be integrated in time using different time steps and/or different state-space time integration schemes. The solution of the constrained system equations is obtained using a dual Schur formulation, allowing for maximum independence of the calculation of the subdomains. Stability and accuracy are illustrated by a numerical example using a refined mesh around concentrated forces. Copyright © 2010 John Wiley & Sons, Ltd.
Original languageEnglish
JournalInternational Journal for Numerical Methods in Engineering
Volume83
Issue number13
Pages (from-to)1700-1718
ISSN0029-5981
DOIs
Publication statusPublished - 2010

Keywords

  • Structural dynamics
  • Energy conservation
  • State-space time integration
  • Dual Schur domain decomposition method
  • Multi-time-step method

Fingerprint Dive into the research topics of 'Multi-time-step domain coupling method with energy control'. Together they form a unique fingerprint.

Cite this