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New solutions for the propagation of long water waves over variable depth

Journal Article


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Abstract


  • Based on the linearized long-wave equation, two new analytical solutions are obtained respectively for the propagation of long surface gravity waves around a conical island and over a paraboloidal shoal. Having been intensively studied during the last two decades, these two problems have practical significance and are physically revealing for wave propagation over variable water depth. The newly derived analytical solutions are compared with several previously obtained numerical solutions and the accuracy of those numerical solutions is discussed. The analytical method has the potential to be used to find solutions for wave propagation over more natural bottom topographies.

Publication Date


  • 1994

Citation


  • Zhang, Y. & Zhu, S. (1994). New solutions for the propagation of long water waves over variable depth. Journal of Fluid Mechanics, 278 391-406.

Scopus Eid


  • 2-s2.0-0028547044

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=3653&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/2644

Number Of Pages


  • 15

Start Page


  • 391

End Page


  • 406

Volume


  • 278

Place Of Publication


  • United Kingdom

Abstract


  • Based on the linearized long-wave equation, two new analytical solutions are obtained respectively for the propagation of long surface gravity waves around a conical island and over a paraboloidal shoal. Having been intensively studied during the last two decades, these two problems have practical significance and are physically revealing for wave propagation over variable water depth. The newly derived analytical solutions are compared with several previously obtained numerical solutions and the accuracy of those numerical solutions is discussed. The analytical method has the potential to be used to find solutions for wave propagation over more natural bottom topographies.

Publication Date


  • 1994

Citation


  • Zhang, Y. & Zhu, S. (1994). New solutions for the propagation of long water waves over variable depth. Journal of Fluid Mechanics, 278 391-406.

Scopus Eid


  • 2-s2.0-0028547044

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=3653&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/2644

Number Of Pages


  • 15

Start Page


  • 391

End Page


  • 406

Volume


  • 278

Place Of Publication


  • United Kingdom