A vortex method for blood flow through heart valves

M. F. McCracken; C. S. Peskin

doi:10.1016/0021-9991(80)90085-6

A vortex method for blood flow through heart valves

M. F. McCracken, C. S. Peskin

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

A combination vortex-grid method for solving the two-dimensional, incompressible Navier-Stokes equations in regions with complicated internal, elastic boundaries is presented. The authors believe the method to be applicable to the case of at least moderately high Reynolds number flow. The method is applied to the study of blood flow through the mammalian mitral valve. Previous work of Peskin is extended and the conjecture that the behavior of mammalian heart valves is independent of Reynolds number is supported.

Original language	English (US)
Pages (from-to)	183-205
Number of pages	23
Journal	Journal of Computational Physics
Volume	35
Issue number	2
DOIs	https://doi.org/10.1016/0021-9991(80)90085-6
State	Published - Apr 1980

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
Physics and Astronomy(all)
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1016/0021-9991(80)90085-6

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title = "A vortex method for blood flow through heart valves",

abstract = "A combination vortex-grid method for solving the two-dimensional, incompressible Navier-Stokes equations in regions with complicated internal, elastic boundaries is presented. The authors believe the method to be applicable to the case of at least moderately high Reynolds number flow. The method is applied to the study of blood flow through the mammalian mitral valve. Previous work of Peskin is extended and the conjecture that the behavior of mammalian heart valves is independent of Reynolds number is supported.",

author = "McCracken, {M. F.} and Peskin, {C. S.}",

note = "Funding Information: Many people have made useful suggestionsa nd contributions to this work. The authors would particularly like to thank A. J. Chorin, D. McQueen, 0. Widlund, and E. L. Yellin for interesting conversations;M . Brothers and D. McQueen for helping with the computing; and J. Race for the beautiful job she did typing the manuscript.T he researchw as partially supported by the National Science Foundation under Grant NSF MCS-76-07039a nd by the National Institutes of Health under Research Grant HL-17859. Computation was supported by Indiana University and by the U.S. Department of Energy under Contract EY-76-C-02-3077 at the Courant Mathematics and Computing Laboratory of New York University.",

year = "1980",

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doi = "10.1016/0021-9991(80)90085-6",

language = "English (US)",

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AU - Peskin, C. S.

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N2 - A combination vortex-grid method for solving the two-dimensional, incompressible Navier-Stokes equations in regions with complicated internal, elastic boundaries is presented. The authors believe the method to be applicable to the case of at least moderately high Reynolds number flow. The method is applied to the study of blood flow through the mammalian mitral valve. Previous work of Peskin is extended and the conjecture that the behavior of mammalian heart valves is independent of Reynolds number is supported.

AB - A combination vortex-grid method for solving the two-dimensional, incompressible Navier-Stokes equations in regions with complicated internal, elastic boundaries is presented. The authors believe the method to be applicable to the case of at least moderately high Reynolds number flow. The method is applied to the study of blood flow through the mammalian mitral valve. Previous work of Peskin is extended and the conjecture that the behavior of mammalian heart valves is independent of Reynolds number is supported.

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A vortex method for blood flow through heart valves

Abstract

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