Numerical analysis of blood flow in the heart

Charles S. Peskin

Research output: Contribution to journalArticlepeer-review


The flow pattern of blood in the heart is intimately connected with the performance of the heart valves. This paper extends previous work on the solution of the Navier-Stokes equations in the presence of moving immersed boundaries which interact with the fluid. The boundary representation now includes the muscular heart wall. The fixed topology of the boundary representation is exploited in the solution of the nonlinear equations which implicitly define the boundary forces. An improved numerical representation of the δ-function is introduced. A fast Laplace-solver is used. The results of calculations with a natural valve and with a prosthetic valve are presented.

Original languageEnglish (US)
Pages (from-to)220-252
Number of pages33
JournalJournal of Computational Physics
Issue number3
StatePublished - Nov 1977

ASJC Scopus subject areas

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


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