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International Journal for Multiscale Computational Engineering
Facteur d'impact: 1.016 Facteur d'impact sur 5 ans: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Imprimer: 1543-1649
ISSN En ligne: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2014007923
pages 485-506

COMPARISON OF TWO-DIMENSIONAL-ONE-DIMENSIONAL COUPLING METHODS FOR TIME-HARMONIC ELASTICITY

Yoav Ofir
Interdepartmental Program of Applied Mathematics, Technion−Israel Institute of Technology, Haifa 32000, Israel
Daniel Rabinovich
Department of Aerospace Engineering, Technion−Israel Institute of Technology, Haifa 32000, Israel
Dan Givoli
Department of Aerospace Engineering, Technion−Israel Institute of Technology, Haifa 32000, Israel; Faculty of Civil Engineering & Geosciences, Technical University of Delft, 2600 GA Delft, The Netherlands

RÉSUMÉ

The coupling of two-dimensional (2D) and one-dimensional (1D) models in time-harmonic elasticity is considered. The hybrid 2D1D model is justified in the case 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 2D1D models are (a) the design of the hybrid model and its validation (with respect to the original problem), and (b) the way the 2D1D coupling is done, and the coupling error generated. The present paper focuses on the second issue. Three numerical methods are adapted to the 2D1D 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 under study here. The accuracy of the 2D1D coupling by the three methods is compared numerically for a specially designed benchmark problem, and conclusions are drawn on their relative performances.


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