On_step_approximations_Linton.pdf (1.59 MB)
Download fileOn step approximations for water-wave problems
journal contribution
posted on 2009-02-23, 14:37 authored by D.V. Evans, Christopher LintonChristopher LintonThe scattering of water waves by a varying bottom topography is considered using
two-dimensional linear water-wave theory. A new approach is adopted in which the
problem is first transformed into a uniform strip resulting in a variable free-surface
boundary condition. This is then approximated by a finite number of sections on
which the free-surface boundary condition is assumed to be constant. A transition
matrix theory is developed which is used to relate the wave amplitudes at fm. The
method is checked against examples for which the solution is known, or which can
be computed by alternative means. Results show that the method provides a simple
accurate technique for scattering problems of this type.
History
School
- Science
Department
- Mathematical Sciences
Citation
EVANS, D.V. and LINTON, C.M., 1994. On step approximations for water-wave problems. Journal of Fluid Mechanics, 278, pp.229-249Publisher
© Cambridge University PressVersion
- VoR (Version of Record)
Publication date
1994Notes
This journal article was published in the journal, Journal of Fluid Mechanics [© Cambridge University Press]. The definitive version is available at: http://dx.doi.org/10.1017/S002211209400368XISSN
0022-1120Language
- en