Numerical method of characteristics for one-dimensional blood flow

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dc.citation.firstpage96en_US
dc.citation.journalTitleJournal of Computational Physicsen_US
dc.citation.lastpage109en_US
dc.citation.volumeNumber294en_US
dc.contributor.authorAcosta, Sebastianen_US
dc.contributor.authorPuelz, Charlesen_US
dc.contributor.authorRiviére, Béatriceen_US
dc.contributor.authorPenny, Daniel J.en_US
dc.contributor.authorRusin, Craig G.en_US
dc.date.accessioned2017-05-12T15:04:32Zen_US
dc.date.available2017-05-12T15:04:32Zen_US
dc.date.issued2015en_US
dc.description.abstractMathematical modeling at the level of the full cardiovascular system requires the numerical approximation of solutions to a one-dimensional nonlinear hyperbolic system describing flow in a single vessel. This model is often simulated by computationally intensive methods like finite elements and discontinuous Galerkin, while some recent applications require more efficient approaches (e.g. for real-time clinical decision support, phenomena occurring over multiple cardiac cycles, iterative solutions to optimization/inverse problems, and uncertainty quantification). Further, the high speed of pressure waves in blood vessels greatly restricts the time step needed for stability in explicit schemes. We address both cost and stability by presenting an efficient and unconditionally stable method for approximating solutions to diagonal nonlinear hyperbolic systems. Theoretical analysis of the algorithm is given along with a comparison of our method to a discontinuous Galerkin implementation. Lastly, we demonstrate the utility of the proposed method by implementing it on small and large arterial networks of vessels whose elastic and geometrical parameters are physiologically relevant.en_US
dc.identifier.citationAcosta, Sebastian, Puelz, Charles, Riviére, Béatrice, et al.. "Numerical method of characteristics for one-dimensional blood flow." <i>Journal of Computational Physics,</i> 294, (2015) Elsevier: 96-109. http://dx.doi.org/10.1016/j.jcp.2015.03.045.en_US
dc.identifier.doihttp://dx.doi.org/10.1016/j.jcp.2015.03.045en_US
dc.identifier.urihttps://hdl.handle.net/1911/94228en_US
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.rightsThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier.en_US
dc.subject.keywordblood flowen_US
dc.subject.keywordcomputational hemodynamicsen_US
dc.subject.keywordcharacteristicsen_US
dc.subject.keywordwave propagationen_US
dc.titleNumerical method of characteristics for one-dimensional blood flowen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpost-printen_US
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