Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-05T03:42:35.201Z Has data issue: false hasContentIssue false

Numerical and analytical solutions of the kinematic approximation for flows over surface elements

Published online by Cambridge University Press:  17 April 2009

Shirley Yolande Hairsine
Affiliation:
School of Australian Environmental Studies, Griffith University, Nathan, Queensland, 4111, Australia.
Rights & Permissions [Opens in a new window]

Abstract

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Abstracts of Australian PhD
Copyright
Copyright © Australian Mathematical Society 1987

References

[1]Campbell, S.Y., Parlange, J.-Y., and Rose, C.W., “Overland flow on converging and diverging surfaces – kinematic model and similarity solutions”, J. Hydrol. 67 (1984), 367374.CrossRefGoogle Scholar
[2]Campbell, S.Y. and Parlange, J.-Y., “Overland flow on converging and diverging surfaces – assessment of numerical schemes”, J. Hydrol. 70 (1984), 265275.CrossRefGoogle Scholar
[3]Campbell, S.Y., Rose, C.W. and Parlange, J.-Y., “Overland flow on converging and diverging surfaces – approximate analytic solutions”, in Conference on Agricultural Engineering, Bundaberg,27–30 August, (Inst. of Eng. Australia, 1984).Google Scholar
[4]Campbell, S.Y., Van der Molen, W.H., Rose, C.W. and Parlange, J.-Y., “A new method for obtaining spatially averaged infiltration rate from rainfall and runoff rates”, J. Hydrol. 82 (1985), 5768.CrossRefGoogle Scholar
[5]Hairsine, S.Y. and Parlange, J.-Y., “Kinematic shockwaves on curved surfaces and application to the cascade approximation”, J. Hydrol. 87 (1986), 187200.CrossRefGoogle Scholar
[6]Singh, V.P., and Agiralioglu, N., “Diverging overland flow, 2. Application to natural watersheds”, Nor. Hydrol. 12 (2), (1981), 99110.CrossRefGoogle Scholar
[7]Singh, V.P., and Woolhiser, D.A., “A nonlinear kinematic wave model for watershed surface runoff”, J. Hydrol. 31 (1976), 221243.CrossRefGoogle Scholar