Biomedical Engineering Reference
In-Depth Information
Fig. 13.3.
Magnified views of the boundary layer volume mesh of an aneurysm. The white volume
is a boundary layer mesh of the arterial wall, and the red and yellow volumes represent the arterial
lumen. The yellow volume is the fluid boundary layer mesh that is built in order to capture accu-
rately the wall shear stresses during the blood flow simulations and the red volume is the remaining
of the lumen volume that is filled with isotropic tetrahedra
rely the adaptation of the mesh size field on an Hessian strategy [26] of the average
flow speed over one cardiac cycles [36, 37].
13.3 High quality meshes
The aim of the mesh generation algorithms described in this paper is to build a mesh
made of triangles and tetrahedra that have controlled element sizes and shapes.
As in this work the initial triangulations are remeshed with a given isotropic mesh
size field
h
, the quality of remeshed surfaces can be evaluated by computing the
aspect ratio of every mesh triangle
(
x
)
κ
as follows [19]:
sin
a
sin
b
sin
c
sin
a
inscribed radius
circumscribed radius
=
γ
κ
=
α
sin
c
,
4
(13.10)
sin
b
+
+
