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SUMMARY:3D/1D geometrical multiscale modeling of vascular networks - Passe
 rini\, T (Emory)
DTSTART:20090721T094500Z
DTEND:20090721T100000Z
UID:TALK19171@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Geometrical multiscale modeling is a strategy advocated in com
 putational hemodynamics for representing in a single numerical model dynam
 ics that involve different space scales. This approach is particularly use
 ful to describe complex vascular networks and has been applied to the stud
 y of cerebral vasculature\, where a one-dimensional (1D) description of th
 e circle of Willis\, relying on the one-dimensional Euler equations\, has 
 been coupled to a fully three-dimensional (3D) model of a carotid artery\,
  based on the solution of the incompressible Navier-Stokes equations. \n\n
 Even if vascular compliance is often not relevant to the meaningfulness of
  3D results (e.g. in large arteries)\, it is crucial in the multiscale mod
 el\, since it is the driving mechanism of pressure wave propagation. Unfor
 tunately\, 3D simulations in compliant domains still demand computational 
 costs significantly higher than the rigid case. Appropriate matching condi
 tions between the two models have been devised to gather the effects of th
 e compliance at the interfaces and to obtain reliable results still solvin
 g a 3D problem on rigid vessels. \n\nMore precisely\, we introduce a lumpe
 d parameter model at the interface\, in the form of a RCL network\, giving
  a simplified representation of the compliance of the 3D vessel in the mul
 tiscale model. For simple cases\, e.g. a cylindrical pipe\, numerical resu
 lts are promising\, showing that the multiscale model can both capture the
  correct wave propagation (in comparison with a fully 1D model) and comput
 e the local 3D flow. In more complex situations\, like the circle of Willi
 s\, results compare well with a fully 1D model\, however a mathematically 
 sound fine tuning of the parameters is required. \n\nWe point out that thi
 s approach can be easily extended\, for instance to the analysis of the co
 ronary artery bypass\, the 3D model representing the grafted and the host 
 arteries\, and the coronary circulation being described by 1D models.
LOCATION:Seminar Room 1\, Newton Institute
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