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Blood Coagulation Simulations using a ViscoelasticModel

Published online by Cambridge University Press:  31 July 2014

A. Sequeira  and
T. Bodnár
A. Sequeira*
Affiliation:
Department of Mathematics and CEMAT/IST, Instituto Superior Técnico, University of Lisbon Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal
T. Bodnár
Affiliation:
Faculty of Mechanical Engineering, Czech Technical University in Prague Karlovo Náměstí 13, 121 35 Prague 2, Czech Republic
*
⋆Corresponding author. E-mail: [email protected]
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Abstract

This paper presents numerical results based on a macroscopic blood coagulation modelcoupled with a non-linear viscoelastic model for blood flow. The system of governingequations is solved using a central finite-volume scheme for space discretization and anexplicit Runge-Kutta time-integration. An artificial compressibility method is used toresolve pressure and a non-linear TVD filter is applied for stabilization. A simple testcase of flowing blood over a clotting surface in a straight 3D vessel is solved. This workpresents a significant extension of the previous studies [10] and [9].

Keywords

blood coagulationclotviscoelastic modelnumerical simulations
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 9 , Issue 6: Blood flows , 2014 , pp. 34 - 45
Copyright
© EDP Sciences, 2014

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