| Issue |
Math. Model. Nat. Phenom.
Volume 9, Number 6, 2014
Blood flows
|
|
|---|---|---|
| Page(s) | 34 - 45 | |
| DOI | https://doi.org/10.1051/mmnp/20149604 | |
| Published online | 31 July 2014 | |
Blood Coagulation Simulations using a Viscoelastic Model
1 Department of Mathematics and
CEMAT/IST, Instituto Superior Técnico, University of Lisbon Av. Rovisco Pais
1, 1049-001
Lisboa,
Portugal
2 Faculty of Mechanical Engineering, Czech Technical University
in Prague Karlovo Náměstí 13, 121 35 Prague 2, Czech Republic
⋆
Corresponding author. E-mail: adelia.sequeira@math.ist.utl.pt
This paper presents numerical results based on a macroscopic blood coagulation model coupled with a non-linear viscoelastic model for blood flow. The system of governing equations is solved using a central finite-volume scheme for space discretization and an explicit Runge-Kutta time-integration. An artificial compressibility method is used to resolve pressure and a non-linear TVD filter is applied for stabilization. A simple test case of flowing blood over a clotting surface in a straight 3D vessel is solved. This work presents a significant extension of the previous studies [10] and [9].
Mathematics Subject Classification: 76Z05 / 76V05 / 80A32 / 92C35 / 74F25 / 80A30 / 92C45 / 92C40
Key words: blood coagulation / clot / viscoelastic model / numerical simulations
© EDP Sciences, 2014
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