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High‐order algorithms for vascular flow modelling
Author(s) -
Peiró J.,
Giordana S.,
Griffith C.,
Sherwin S. J.
Publication year - 2002
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.270
Subject(s) - discretization , flow (mathematics) , mesh generation , point (geometry) , computer science , algorithm , spectral method , visualization , finite element method , mathematics , geometry , artificial intelligence , mathematical analysis , physics , thermodynamics
This paper presents the development of spectral/ hp high‐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/ hp element methods. Finally we demonstrate the application of these ideas to anatomically correct and model distal bypass grafts. Copyright © 2002 John Wiley & Sons, Ltd.