A three-dimensional computational method for blood flow in the heart I. Immersed elastic fibers in a viscous incompressible fluid

Charles Peskin, David M. McQueen

Research output: Contribution to journalArticle

Abstract

This paper describes the numerical solution of the 3-dimensional equations of motion of a viscous incompressible fluid that contains an immersed system of elastic fibers. Implementation details such as vectorization and the efficient use of external memory are discussed. The method is applied to the damped vibrations of a fiber-wound toroidal tube, and empirical evidence of convergence is presented.

Original languageEnglish (US)
Pages (from-to)372-405
Number of pages34
JournalJournal of Computational Physics
Volume81
Issue number2
DOIs
StatePublished - 1989

Fingerprint

incompressible fluids
blood flow
Computational methods
Blood
fibers
Fluids
Fibers
Equations of motion
equations of motion
tubes
Data storage equipment
vibration

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy(all)

Cite this

A three-dimensional computational method for blood flow in the heart I. Immersed elastic fibers in a viscous incompressible fluid. / Peskin, Charles; McQueen, David M.

In: Journal of Computational Physics, Vol. 81, No. 2, 1989, p. 372-405.

Research output: Contribution to journalArticle

@article{5755153b24e847eb8c2086359397155a,
title = "A three-dimensional computational method for blood flow in the heart I. Immersed elastic fibers in a viscous incompressible fluid",
abstract = "This paper describes the numerical solution of the 3-dimensional equations of motion of a viscous incompressible fluid that contains an immersed system of elastic fibers. Implementation details such as vectorization and the efficient use of external memory are discussed. The method is applied to the damped vibrations of a fiber-wound toroidal tube, and empirical evidence of convergence is presented.",
author = "Charles Peskin and McQueen, {David M.}",
year = "1989",
doi = "10.1016/0021-9991(89)90213-1",
language = "English (US)",
volume = "81",
pages = "372--405",
journal = "Journal of Computational Physics",
issn = "0021-9991",
publisher = "Academic Press Inc.",
number = "2",

}

TY - JOUR

T1 - A three-dimensional computational method for blood flow in the heart I. Immersed elastic fibers in a viscous incompressible fluid

AU - Peskin, Charles

AU - McQueen, David M.

PY - 1989

Y1 - 1989

N2 - This paper describes the numerical solution of the 3-dimensional equations of motion of a viscous incompressible fluid that contains an immersed system of elastic fibers. Implementation details such as vectorization and the efficient use of external memory are discussed. The method is applied to the damped vibrations of a fiber-wound toroidal tube, and empirical evidence of convergence is presented.

AB - This paper describes the numerical solution of the 3-dimensional equations of motion of a viscous incompressible fluid that contains an immersed system of elastic fibers. Implementation details such as vectorization and the efficient use of external memory are discussed. The method is applied to the damped vibrations of a fiber-wound toroidal tube, and empirical evidence of convergence is presented.

UR - http://www.scopus.com/inward/record.url?scp=45149143078&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=45149143078&partnerID=8YFLogxK

U2 - 10.1016/0021-9991(89)90213-1

DO - 10.1016/0021-9991(89)90213-1

M3 - Article

AN - SCOPUS:45149143078

VL - 81

SP - 372

EP - 405

JO - Journal of Computational Physics

JF - Journal of Computational Physics

SN - 0021-9991

IS - 2

ER -