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UID:0-450@aerospace.technion.ac.il

DTSTART;TZID=Asia/Jerusalem:20161123T163000

DTEND;TZID=Asia/Jerusalem:20161123T173000

DTSTAMP:20230603T190353Z

URL:https://aerospace.technion.ac.il/events/lowd-highd-hybrid-models-in-wa
 ve-problems/

SUMMARY:LowD-HighD Hybrid Models in Wave Problems
DESCRIPTION:Lecturer:Yoav Ofir\n Faculty:The Interdisciplinary Program for 
 Applied Mathematics\n Institute:Technion – Israel Institute of Technolog
 y\n Location:Classroom 165\, ground floor\, Library\, Aerospace Eng.\n Zoo
 m: \n Abstract: \n Details: \n The need to reduce the size of large discre
 te models is a reoccurring theme in computational mechanics in recent year
 s. One situation which calls for such a reduction is that where the soluti
 on in some region in a high-dimensional computational domain behaves in a 
 low-dimensional way. Typically\, this situation occurs when the LowD (Low-
 Dimensional) model is employed as an approximation to the HighD (High-Dime
 nsional) model in a partial region of the spatial domain. Then\, one has t
 o couple the two models on the interface between them. Fields of applicati
 on where the scenario of LowD-HighD coupling is of special interest  incl
 ude\, among others\, blood-flow analysis\, hydrological and geophysical fl
 ow models and elastic structures\, where slender members behave in a 1D wa
 y\, while joints connecting these members possess a 3D behavior. The hybri
 d HighD-LowD model\, if designed properly\, is much more efficient than th
 e standard HighD model taken for the entire problem.\nThis work focuses on
  the coupling of two-dimensional (2D) and one-dimensional (1D) models in t
 ime-harmonic elasticity. The 2D and 1D structural regions are discretized 
 by using 2D and 1D Finite Element (FE) formulations. Two important issues 
 related to such hybrid 2D-1D models are:  (a) the design of the hybrid mo
 del and its validation (with respect to the original problem)\, and (b) th
 e way the 2D-1D coupling is done\, and the coupling error generated. This 
 research focuses on the second issue.\nSeveral methods are adapted to the 
 2D-1D coupling scenario\, implemented and compared numerically through a s
 pecially designed benchmark problem \, as well as some more advanced probl
 ems.
CATEGORIES:Seminars
LOCATION:Classroom 165\, ground floor\, Library\, Aerospace Eng.

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