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A stationary-phase approximation to the ship-wave pattern

Published online by Cambridge University Press:  28 March 2006

F. W. G. Warren
F. W. G. Warren
Affiliation:
Department of Mathematics, University of Sheffield
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Abstract

Scorer (1950) has described an extension of the method of stationary phase. This method is used to derive an approximation to the wave pattern at large distances from the ship in a simple manner. The approximation is valid in the vicinity of the critical angle and the nature of the disturbance in this region is readily seen. The divergent and transverse wave systems in a critical region are shown, together with their variation of amplitude and phase.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 10 , Issue 4 , June 1961 , pp. 584 - 592
Copyright
© 1961 Cambridge University Press

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References

Hogner, E. 1923 Ark. Mat. Astr. Fys. 17, 1–50.
Miller, J. C. P. 1946 Brit. Ass. Math. Tables, vol. B. The Airy Integral.
Scorer, R. S. 1950 Quart. J. Math. Appl. Math. 3, 107–112.
Scorer, R. S. 1956a Quart. J. Roy. Met. Soc. 82, 75–81.
Scorer, R. S. 1956b Quart. J. Roy. Met. Soc. 82, 419, 427.
Ursell, F. 1960 J. Fluid Mech. 8, 418–31.