Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-27T11:18:43.581Z Has data issue: false hasContentIssue false
  • English
  • Français

A Digital Computer Solution of the Laplace Equation Using the Dynamic Relaxation Method

Published online by Cambridge University Press:  07 June 2016

K. R. Rushton  and
Lucy M. Laing
K. R. Rushton
Affiliation:
Department of Civil Engineering, University of Birmingham
Lucy M. Laing
Affiliation:
Department of Civil Engineering, University of Birmingham
Get access

Summary

The Dynamic Relaxation solution of the Laplace equation introduces dynamic terms into the basic equation. When this is written as an explicit finite difference formulation it can be solved by an iterative process which only requires a simple substitution routine. The method is easy to programme and requires small storage in the computer. By studying problems involving wind tunnel interference in steady flow, the potentialities of the method are demonstrated.

Type
Research Article
Information
Aeronautical Quarterly , Volume 19 , Issue 4 , November 1968 , pp. 375 - 387
Copyright
Copyright © Royal Aeronautical Society. 1968

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

1. Otter, J. R. H. Computations for prestressed concrete reactor pressure vessels using dynamic relaxation. Nuclear Structural Engineering, Vol. 1, p. 61, 1965.Google Scholar
2. Otter, J. R. H., Cassell, A. C. and Hobbs, R. E. Dynamic relaxation. Proceedings, Institution of Civil Engineers, Vol. 35, p. 633, 1966, Discussion in Vol. 37, p. 723, 1967.Google Scholar
3. Rushton, K. R. and Laing, Lucy M. A general method of studying steady lift interference in slotted and perforated tunnels. ARC 29 237 (to be R & M 3567, 1969).Google Scholar
4. Rogers, E. W. E. Subsonic wind tunnel corrections. Agardograph 109, Chapter VI, Wall interference in tunnels with ventilated walls. AGARD, Paris, October 1966.Google Scholar
5. Rushton, K. R. Dynamic relaxation solutions of elastic plate problems. Journal of Strain Analysis, Vol. 3, p. 23, 1968.Google Scholar
6. Crandall, S. H. Engineering analysis, p. 391, McGraw-Hill, New York, 1956.Google Scholar
7. Garner, H. C., Moore, A. W. and Wight, K. C. The theory of interference effects on dynamic measurements in slotted-wall tunnels at subsonic speeds and comparisons with experiment. R & M 3500,1968.Google Scholar