Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-06T12:08:46.477Z Has data issue: false hasContentIssue false
  • English
  • Français

A computational method for viscous flow problems

Published online by Cambridge University Press:  28 March 2006

Carl E. Pearson
Carl E. Pearson*
Affiliation:
Sperry Rand Research Center, Sudbury, Massachusetts
Get access Rights & Permissions [Opens in a new window]

Extract

A digital computer method for solving certain problems involving two-dimensional incompressible viscous flow is described. The time-dependent case is treated; the mathematical problem is thus that of solving a non-linear fourth-order partial differential equation in three variables. The choice of difference equations, of relaxation procedure, the kind of approximation to boundary conditions, and the resulting computational stability, speed, and accuracy are considered. Most experience so far has been for a rectangular region for which boundary velocities are prescribed as certain functions of time; an example of one such problem showing vortex formation and break-up is given.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 21 , Issue 4 , April 1965 , pp. 611 - 622
Copyright
Copyright © Cambridge University Press 1965

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Dix, D. M. 1963 J. Fluid Mech. 15, 449.Google Scholar
DuFort, E. C. & Frankel, S. P. 1953 M.T.A.C. 7, 135.Google Scholar
Forsythe, G. E. & Wasow, W. R. 1960 Finite Difference Methods. New York: Wiley.Google Scholar
Fromm, J. E. & Harlow, F. H. 1963 Phys. Fluids, 6, 975.Google Scholar
Hellums, J. D. & Churchill, S. W. 1961 Proc. Int. Heat Transf. Conf. 985.Google Scholar
Peaceman, D. W. ' Rachford, H. H. 1955 J.S.I.A.M. 3, 28.Google Scholar
Pearson, C. E. 1964 A Computational Method for Viscous Flow Problems. Sperry Rand Research Center.Google Scholar
Pearson, C. E. 1965 J. Fluid Mech. 21, 623.Google Scholar
Thompson, P. D. 1961 Numerical Weather Analysis and Prediction. New York: MacMillan.Google Scholar
Wilkes, J. O. 1963 Thesis, Univ. of Michigan.Google Scholar