NDLI: Boundary Conditions by Schwarz-Christoffel Mapping in Anatomically Accurate Hemodynamics

Content Provider	Springer Nature Link
Author	Boutsianis, Evangelos Gupta, Sumeet Boomsma, Kevin Poulikakos, Dimos
Copyright Year	2008
Abstract	Appropriate velocity boundary conditions are a prerequisite in computational hemodynamics. A method for mapping analytical or experimental velocity profiles on anatomically realistic boundary cross-sections is presented. Interpolation is required because the computational and experimental domains are seldom aligned. In the absence of velocity information one alternative is the adaptation of analytical profiles based on volumetric flux constraints. The presented algorithms are based on the Schwarz-Christoffel (S-C) mapping of singly or doubly connected polygons to the unit circle or an annulus with unary external radius. S-C transformations are combined to construct a one-to-one invertible map between the target surface and the measurement domain or the support of the source analytical profile. The proposed technique permits us to segment each space separately and map one onto the other in its entirety. Tests are performed with normal velocity boundary conditions for computational simulations of blood flow in the ascending aorta and cerebrospinal fluid flow in the spinal cavity. Mappings of axisymmetric velocity profiles of the Womersley type through a simply connected circular pipe as well as through a doubly connected circular annulus, and interpolations from in-vivo phase-contrast magnetic resonance imaging velocity measurements under instantaneous volumetric flux constraints are considered.
Starting Page	2068
Ending Page	2084
Page Count	17
File Format	PDF
ISSN	00906964
Journal	Annals of Biomedical Engineering
Volume Number	36
Issue Number	12
e-ISSN	15739686
Language	English
Publisher	Springer US
Publisher Date	2008-10-04
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Schwarz-Christoffel mapping Pulsatile flow Interpolation Womersley Annular domain Hemodynamics Biochemistry Mechanics Biophysics/Biomedical Physics Biomedical Engineering Biomedicine general
Content Type	Text
Resource Type	Article
Subject	Biomedical Engineering

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