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International Journal for Multiscale Computational Engineering
Импакт фактор: 1.016 5-летний Импакт фактор: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352

Выпуски:
Том 17, 2019 Том 16, 2018 Том 15, 2017 Том 14, 2016 Том 13, 2015 Том 12, 2014 Том 11, 2013 Том 10, 2012 Том 9, 2011 Том 8, 2010 Том 7, 2009 Том 6, 2008 Том 5, 2007 Том 4, 2006 Том 3, 2005 Том 2, 2004 Том 1, 2003

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

Краткое описание

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.