- Abstract:
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A new description of two-dimensional continuos free-surface flows in Lagrangian coordinates is proposed. It is shown that the position of a fluid particle in such flows can be represented as a fixed point of a transformation in R². Components of the transformation function satisfy the linear Euler-type continuity equation and can be expressed via a single function analogous to an Eulerian stream function. Fixed-point iterations lead to a simple recursive representation of a solution satisfyin...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Publisher's version
- Files:
-
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(pdf, 562.4KB)
-
- Publisher copy:
- 10.1017/S0022112006001443
-
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- Publisher:
- Cambridge University Press Publisher's website
- Journal:
- Journal of Fluid Mechanics Journal website
- Volume:
- 562
- Pages:
- 431-444
- Publication date:
- 2006-09-05
- DOI:
- EISSN:
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1469-7645
- ISSN:
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0022-1120
- URN:
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uuid:e079efe7-94f7-4f21-b233-a7d3e0ce41fb
- Local pid:
- ora:1525
- Language:
- English
- Keywords:
- Subjects:
- Copyright holder:
- Cambridge University Press
- Copyright date:
- 2006
- Notes:
- Citation: Buldakov, E. V., Taylor, P. H. & Eatock Taylor, R. (2006). 'New asymptotic description of nonlinear water waves in Lagrangian coordinates', Journal of Fluid Mechanics, 562, 431-444. [Available at http://journals.cambridge.org/action/displayJournal?jid=FLM].
Journal article
New asymptotic description of nonlinear water waves in Lagrangian coordinates
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