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. Author manuscript; available in PMC: 2019 Jul 1.
Published in final edited form as: Int J Numer Method Biomed Eng. 2018 May 23;34(7):e2987. doi: 10.1002/cnm.2987

FIGURE 1.

FIGURE 1

Mesh independence test for parametric structured meshes in two subject-specific cerebral arterial trees. (A) Parametric mesh of two subjects. Longitudinal and cross-sectional mesh density can be adjusted to control mesh resolution. Here, refinement was optimally performed based on the local diameter and centerline curvature. (B) Mesh independence for Subject I. A centerline from RICA to RMCA passing through six main bifurcations was used to compare pressure values computed with different mesh element numbers. For each mesh, time-dependent velocity profiles for a plane marked in orange was also plotted. Meshes with fewer cross-sectional element (black) slowly approached stable results shown for high-resolution models (green and blue) thus demonstrating mesh independence. (C) Mesh independence for subject II. Pressure trajectories for different resolution were plotted along large sections of the centerline spanning the LICA to LMCA branches. In addition, average velocity magnitude profiles are shown for a location at the entrance of the LMCA for different mesh resolution. Pressure and velocity results for green and blue are virtually identical with 2650K and 3600K elements. By varying cross-sectional density, mesh-independent results were achieved with a 2150K mesh. These results demonstrate the achievement of mesh independence with parametric meshing technique.