Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-28T08:45:06.593Z Has data issue: false hasContentIssue false
  • English
  • Français

The Numerical Evaluation of Curvilinear Integrals and Areas

Part of: 75 year anniversary of Aeronautical Engineering at Glasgow University

Published online by Cambridge University Press:  04 July 2016

T. R. F. Nonweiler
T. R. F. Nonweiler*
Affiliation:
James Watt Engineering Laboratories, Glasgow University
Get access Rights & Permissions [Opens in a new window]

Extract

We envisage here that it is desired to evaluate (using a digital computer) the integral of a function f (x, y) with respect to x (say), along a curve γ in the xy-plane; the value of the function and of the co-ordinates of the curve being known only at discrete, and possibly irregularly spaced, points of γ. Such a problem frequently arises, especially where γ is a closed curve: as for instance in aerodynamics when it is desired to estimate the force components and pitching moment inferred from an experimentally determined set of pressures taken over an aerofoil; here the function values are related to the pressure measurements and γ is the aerofoil contour.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 72 , Issue 694 , October 1968 , pp. 887 - 888
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. Brun, Viggo. A generalisation of the formula of Simpson, for non equidistant ordinates. Nordisk Mat. Tidskr. Vol 1, p 10–15, MR 14, 1019, 1953.Google Scholar
2. Nonweiler, T. The Numerical Evaluation of Curvilinear Integrals denned by Discrete Data. Glasgow University,. Department of Aeronautical Engineering, Report No 6802,. 1968.Google Scholar