Rates of convergence for viscous splitting of the navier stokes equations

J. Thomas Beale, Andrew Majda

Research output: Contribution to journalArticle

Abstract

Viscous splitting algorithms are the underlying design principle for many numerical algorithms which solve the Navier-Stokes equations at high Reynolds number. In this work, error estimates for splitting algorithms are developed which are uniform in the viscosity v as it becomes small for either two- or three-dimensional fluid flow in all of space. In particular, it is proved that standard viscous splitting converges uniformly at the rate CvAt, Strang-type splitting converges at the rate 0(A

Original languageEnglish (US)
Pages (from-to)951-958
Number of pages8
JournalMathematics of Computation
Volume37
Issue number156
DOIs
StatePublished - 1981

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Navier Stokes equations
Navier-Stokes Equations
Rate of Convergence
Converge
Flow of fluids
Three-dimensional Flow
Reynolds number
Numerical Algorithms
Viscosity
Fluid Flow
Error Estimates
Strings

Keywords

  • Eulers equations
  • Navier-Stokes equations
  • Splitting algorithms

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

Cite this

Rates of convergence for viscous splitting of the navier stokes equations. / Thomas Beale, J.; Majda, Andrew.

In: Mathematics of Computation, Vol. 37, No. 156, 1981, p. 951-958.

Research output: Contribution to journalArticle

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