Codice | 28/2008 |
Titolo | On the coupling of 1D and 3D diffusion-reaction equations. Applications to tissue perfusion problems |
Data | 2008-12-10 |
Autore/i | D'Angelo, Carlo; Quarteroni, Alfio |
Link | Download full text |
Abstract | In this paper we consider the coupling between two
diffusion-reaction problems, one taking place in a three-dimensional
domain, the other in a one-dimensional subdomain.
This coupled problem is the simplest model of fluid flow in a
three-dimensional porous medium featuring fractures that can be
described by one-dimensional manifolds. In particular this model
can provide the basis for a multiscale analysis of blood flow
through tissues, in which the capillary network is represented as a
porous matrix, while the major blood vessels are described by thin
tubular structures embedded into it: in this case, the model allows
the computation of the 3D and 1D blood pressures respectively in the
tissue and in the vessels.
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