Dr Paul Hammerton Publications
Publications
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Hammerton, P.W. & Crighton, D.G. (1989)
Old-age behaviour of cylindrical and spherical
nonlinear waves: numerical and asymptotic results.
Proceedings of the Royal Society A
422, 387--406.
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Hammerton, P.W. & Crighton, D.G. (1989)
Approximate solution methods for nonlinear
acoustic propagation over long ranges.
Proceedings of the Royal Society A
426, 125--152.
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Hammerton, P.W. & Crighton, D.G. (1990)
Role of numerical schemes in nonlinear
acoustics.
In Computational Acoustics (eds: Lee, D., Cakmak, A., \& Vichnevetsky, R.), North Holland,
Vol. 2, 197--206.
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Hammerton, P.W. & Crighton, D.G. (1990)
Overturning of nonlinear waves.
In
Frontiers of Nonlinear Acoustics
(eds: Hamilton, M.F. \& Blackstock, D.T.), Elsevier, 153--159.
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Hammerton, P.W. & Kerschen, E.J. (1992)
Asymptotic Theories for Leading Edge Receptivity.
In
Instability, Transition & Turbulence
(eds: Hussaini, M.Y., Kumar, A., & Streett, C.L.), Springer-Verlag,
441--452.
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Hammerton, P.W. & Crighton, D.G. (1993)
Overturning of nonlinear waves. Part 1: A general method.
Journal of Fluid Mechanics
252, 585--599.
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Hammerton, P.W. & Crighton, D.G. (1993)
Overturning of nonlinear waves. Part 2: Relaxing gas dynamics.
Journal of Fluid Mechanics
252, 601--615.
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Hammerton, P.W. & Gaster, M. (1995)
Comparison of asymptotic prediction methods for boundary-layer receptivity.
In
Laminar-Turbulent Transition
(ed. R. Kobayashi) pp. 413--420.
Springer.
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Hammerton, P.W. & Kerschen, E.J. (1996)
Boundary-layer receptivity for a parabolic leading edge.
Journal of Fluid Mechanics
310, 243--267.
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Kerschen, E.J. \& Hammerton, P.W., (1996).
Effects of nose radius and aerodynamic loading on leading-edge
receptivity.
AIAA 96--2121.
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Hammerton, P.W. & Kerschen, E.J. (1997)
Boundary-layer receptivity for a parabolic leading edge.
Part 2. The small-Strouhal number limit.
Journal of Fluid Mechanics
353, 205--220.
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Hammerton, P.W. (1999)
The appearance of Lam-Rott and Brown-Stewartson eigenfunctions in solutions
of the boundary-layer equation.
Quarterly Journal of Mechanics & Applied Mathematics.
52 373--385.
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Hammerton, P.W. & Kerschen, E.J. (2000)
Effect of leading-edge geometry and aerodynamic loading on
receptivity to acoustic disturbances.
In
Proceedings of Fourth I.U.T.A.M. Symposium on Transition
(eds: Saric, W. \& Fasel, H.), pp 37--42 Springer-Verlag.
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Nichols, D.E. \& Hammerton, P.W. (2000)
Receptivity for a flat plate with a rounded leading edge.
In
Proceedings of Fourth I.U.T.A.M. Symposium on Transition
(eds: Saric, W. \& Fasel, H.), pp 37--42 Springer-Verlag.
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Hammerton, P.W. (2001)
Effect of molecular relaxation on the propagation of sonic booms
through a stratified atmosphere.
Wave Motion.
33 359--377.
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Johnson, M.E. & Hammerton, P.W. (2002)
Asymptotic solutions of sonic boom waveform propagation.
In
Nonlinear acoustics at the beginning of the 21st century.
pp 295-298
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Johnson, M.E. & Hammerton, P.W. (2003)
Effect of molecular relaxation processes on travelling wave solutions of sonic boom waveforms
Wave Motion.
38 229--240.
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Hammerton, P.W. & Kerschen, E.J. (2005)
Leading-edge receptivity for bodies with mean aerodynamic loading.
Journal of Fluid Mechanics
535, 1--32.
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Turner, M. & Hammerton, P.W. (2006)
Asymptotic receptivity analysis
and the Parabolised Stability Equation: a combined approach
to boundary layer transition.
To appear
Journal of Fluid Mechanics