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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:3D/1D geometrical multiscale modeling of vascular 
 networks - Passerini\, T (Emory)
DTSTART;TZID=Europe/London:20090721T104500
DTEND;TZID=Europe/London:20090721T110000
UID:TALK19171AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/19171
DESCRIPTION:Geometrical multiscale modeling is a strategy advo
 cated in computational hemodynamics for representi
 ng in a single numerical model dynamics that invol
 ve different space scales. This approach is partic
 ularly useful to describe complex vascular network
 s and has been applied to the study of cerebral va
 sculature\, where a one-dimensional (1D) descripti
 on of the circle of Willis\, relying on the one-di
 mensional Euler equations\, has been coupled to a 
 fully three-dimensional (3D) model of a carotid ar
 tery\, based on the solution of the incompressible
  Navier-Stokes equations. \n\nEven if vascular com
 pliance is often not relevant to the meaningfulnes
 s of 3D results (e.g. in large arteries)\, it is c
 rucial in the multiscale model\, since it is the d
 riving mechanism of pressure wave propagation. Unf
 ortunately\, 3D simulations in compliant domains s
 till demand computational costs significantly high
 er than the rigid case. Appropriate matching condi
 tions between the two models have been devised to 
 gather the effects of the compliance at the interf
 aces and to obtain reliable results still solving 
 a 3D problem on rigid vessels. \n\nMore precisely\
 , we introduce a lumped parameter model at the int
 erface\, in the form of a RCL network\, giving a s
 implified representation of the compliance of the 
 3D vessel in the multiscale model. For simple case
 s\, e.g. a cylindrical pipe\, numerical results ar
 e promising\, showing that the multiscale model ca
 n both capture the correct wave propagation (in co
 mparison with a fully 1D model) and compute the lo
 cal 3D flow. In more complex situations\, like the
  circle of Willis\, results compare well with a fu
 lly 1D model\, however a mathematically sound fine
  tuning of the parameters is required. \n\nWe poin
 t out that this approach can be easily extended\, 
 for instance to the analysis of the coronary arter
 y bypass\, the 3D model representing the grafted a
 nd the host arteries\, and the coronary circulatio
 n being described by 1D models.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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