Computational coupling of one dimensional and two dimensional models for elastic structures

Y. Ofir, D. Rabinovich, D. Givoli

Research output: Contribution to journalArticlepeer-review

Abstract

The coupling of two-dimensional (2D) and one-dimensional (1D) models in time-harmonic elasticity is considered. The hybrid 2D-1D model is justified for cases where some regions in the 2D computational domain behave approximately in a 1D way. This hybrid model, if designed properly, is much more efficient than the standard 2D model taken for the entire problem. Two important issues related to such hybrid 2D-1D models are (a) the design of the hybrid model and its validation (with respect to the original problem), and (b) the way the 2D-1D coupling is done, and the coupling error generated. This paper focuses on the second issue. Three numerical methods are adapted to the 2D-1D coupling scenario, for elastic time-harmonic waves: the Panasenko method, the Dirichlet-to-Neumann (DtN) method and the Nitsche method. All three are existing methods that deal with interfaces; however none of them has previously been adopted and applied to the type of problem studied here. The accuracy of the 2D-1D coupling by the three methods is compared numerically for a specially designed benchmark problem, and conclusions are drawn on their relative performances.

Original languageEnglish
JournalCivil-Comp Proceedings
Volume106
StatePublished - 2014

Keywords

  • 2D-1D
  • Coupling
  • Derivative-recovery
  • Dirichlet-to-Neumann
  • Elastic waves
  • Elastodynamic
  • High dimension
  • Hybrid model
  • Low dimension
  • Nitsche
  • Panasenko
  • Time-harmonic

All Science Journal Classification (ASJC) codes

  • Environmental Engineering
  • Civil and Structural Engineering
  • Computational Theory and Mathematics
  • Artificial Intelligence

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