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Spectral/hp high-order element methods and smooth implicit functions were successfully applied to reconstruct incomplete MRI data and computationally model Newtonian flow in distal bypass grafts.
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High-order spectral/hp element methods can be effectively used to reconstruct vascular geometries from MRI data and model Newtonian flow in distal bypass grafts.
This paper presents the development of spectral/hphigh‐order elements for vascular flows with particular attention to surface reconstruction and high‐order mesh generation. Using ideas from computer visualization we apply a technique of constructing smooth implicit functions to reconstruct incomplete sectional imaging data from magnetic resonance imaging. Using this as a starting point we outline techniques to discretize and computationally solve the Newtonian flow within these geometries using high‐order spectral/hpelement methods. Finally we demonstrate the application of these ideas to anatomically correct and model distal bypass grafts.
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Peiró et al. (2002) studied Vascular flow modelling. Spectral/hp high-order element methods was evaluated. Spectral/hp high-order element methods and smooth implicit functions were successfully applied to reconstruct incomplete MRI data and computationally model Newtonian flow in distal bypass grafts.
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