ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

Figure 2: Viscohyperelastic cube: (a) Influence of reduction order and total time ratio with a
fixed time increment ratio of one; (b) Influence of the time increments with a fixed total time
ratio of one and a reduction order of 98.8 %
Fig. 2a shows the influence of the reduction order and the total time ratio. Naturally the
error decreases with decreasing reduction order. Furthermore the smallest error is
reached for a total time ratio of one, i.e. when the same total time for the
precomputation and the reduced computation is used. Fig. 2b shows the influence of the
time increment ratio. The smallest displacement error is reached for a ratio of one.
4.3 Inferior turbinate
Figure 3: Inferior turbinate: (a) Segmentation; (b) Geometry, load and boundary condition
After testing the POD method by means of reducing the cube, we investigate a more
realistic biomechanical model. The geometry of an inferior turbinate is segmented from
CT data (Fig. 3a). The geometry is simplified by extruding an average cross section
shown in Fig. 3b. A Neohookean material law is used and the applied load is a pressure
load simulating the endoscope impact. The turbinate is constraint on one side.
Figure 4: Displacement (a) and van Mises stress (b) error.
Fig. 4a and b shows the contour plot of the relative displacement and van Mises stress