000021516 001__ 21516
000021516 005__ 20170622131249.0
000021516 04107 $$aeng
000021516 046__ $$k2017-06-15
000021516 100__ $$aOfir, Yoav
000021516 24500 $$aMIXED-DIMENSIONAL COUPLING VIA AN EXTENDED DIRICHLET-TO-NEUMANN METHOD

000021516 24630 $$n6.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000021516 260__ $$bNational Technical University of Athens, 2017
000021516 506__ $$arestricted
000021516 520__ $$2eng$$aRecently, a Dirichlet-to-Neumann (DtN) coupling method was proposed for mixed-dimensional modeling of timeharmonic wave problems. The original two-dimensional (2D) problems domain in this multiscale scenario is assumed to consist of two regions: a bulky one and a slender one. In a previous publication on the DtN coupling method, the problems considered were such that in the slender region, the exact solution approximately behaved in a one-dimensional (1D) way, namely its lateral variation decayed rapidly away from the wave source. In the present work, a more general class of problems is considered. The computational domain still includes a slender region (a long tail or a tree), but the solution in that region does not necessarily behave in a 1D way. Such a persistent 2D behavior occurs for sufficiently large wave numbers, as is shown here. The DtN coupling method is extended for this more general situation. The problem in the slender part is reduced to a sequence of 1D problems. In the hybrid model, the bulky and slender regions are discretized by using 2D and 1D finite element formulations, respectively, which are then coupled together by employing on the interface the numerically calculated DtN maps associated with the 1D problems. To enhance the accuracy of the calculated DtN map, a boundary flux recovery technique is applied on the interface. The hybrid model is more efficient than the standard 2D model taken for the entire problem, yet its accuracy is not significantly lower. The performance of the method is demonstrated via numerical examples.

000021516 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021516 653__ $$a

000021516 7112_ $$aCOMPDYN 2017 - 6th International Thematic Conference$$cRhodes Island (GR)$$d2017-06-15 / 2017-06-17$$gCOMPDYN2017
000021516 720__ $$aOfir, Yoav$$iGivoli, Dan$$iRabinovich, Daniel
000021516 8560_ $$ffischerc@itam.cas.cz
000021516 8564_ $$s116093$$uhttps://invenio.itam.cas.cz/record/21516/files/16800.pdf$$yOriginal version of the author's contribution as presented on CD, section: [MS10] Advances in Numerical Methods for Linear and Non-Linear Dynamics and Wave Propagation
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000021516 962__ $$r21500
000021516 980__ $$aPAPER