Science and Technology Production
Article
Authorship
L. A. Mansilla Alvarez
;
P. J. Blanco
;
BULANT, CARLOS ALBERTO
;
E. A. Dari
;
A. Veneziani
;
R. A. Feijóo
Date
2016
Publishing House and Editing Place
John Wiley & Sons Ltd.
Magazine
International Journal for Numerical Methods in Biomedical Engineering
John Wiley & Sons Ltd.
Summary
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In this work we present a novel approach tailored to approximate the Navier-Stokes equations tosimulate fluid flow in three-dimensional tubular domains of arbitrary cross-sectional shape. The proposedmethodology is aimed at filling the gap between (cheap) one-dimensional and (expensive) three-dimensionalmodels, featuring descriptive capabilities comparable to the full and accurate 3D description of the problemat a low computational cost. In addition, this methodology can easily be tuned or even...
In this work we present a novel approach tailored to approximate the Navier-Stokes equations tosimulate fluid flow in three-dimensional tubular domains of arbitrary cross-sectional shape. The proposedmethodology is aimed at filling the gap between (cheap) one-dimensional and (expensive) three-dimensionalmodels, featuring descriptive capabilities comparable to the full and accurate 3D description of the problemat a low computational cost. In addition, this methodology can easily be tuned or even adapted to addresslocal features demanding more accuracy. The numerical strategy employs finite (pipe-type) elements whichtake advantage of the pipe structure of the spatial domain under analysis. While low order approximation isused for the longitudinal description of the physical fields, transverse approximation is enriched using highorder polynomials. Although our application of interest is computational hemodynamics and its relevance topathological dynamics like atherosclerosis, the approach is quite general and can be applied in any internalfluid dynamics problem in pipe-like domains. Numerical examples covering academic cases as well aspatient-specific coronary arterial geometries demonstrate the potentialities of the developed methodologyand its performance when compared against traditional finite element methods.
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Key Words
high orderhemodynamicscoronary blood flowpatient-specificmodel order reduction