Numerical study of slightly viscous flow-Reference-Cited by-同舟云学术

Numerical study of slightly viscous flow

Published:1973-03-06 Issue:4 Volume:57 Page:785-796
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Chorin Alexandre Joel

Abstract

A numerical method for solving the time-dependent Navier–Stokes equations in two space dimensions at high Reynolds number is presented. The crux of the method lies in the numerical simulation of the process of vorticity generation and dispersal, using computer-generated pseudo-random numbers. An application to flow past a circular cylinder is presented.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference16 articles.

1. Chorin, A. J. 1972 A vortex method for the study of rapid flow. In Proc. 3rd Int. Conf. on Numerical Methods in Fluid Mech. Springer.

2. Kellogg, O. D. 1929 Foundations of Potential Theory .New York:Ungar. (Also available through Dover Publications.)

3. Smith, A. M. O. 1970 Recent progress in the calculation of potential flows. Proc. 7th Symp. Naval Hydrodynamics .Office of Naval Research.

4. Chorin, A. J. 1969a On the convergence of discrete approximations to the Navier-Stokes equations.Math. Comp. 23,341.

5. Glimm, J. 1965 Solutions in the large for nonlinear hyperbolic systems of conservation laws.Comm. Pure Appl. Math. 18,697.

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