Journal article
New asymptotic description of nonlinear water waves in Lagrangian coordinates
- Abstract:
-
A new description of two-dimensional continuous 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 satisfyi...
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Bibliographic Details
- Journal:
- Journal of Fluid Mechanics
- Volume:
- 562
- Pages:
- 431-444
- Publication date:
- 2006-09-10
- DOI:
- EISSN:
-
1469-7645
- ISSN:
-
0022-1120
Item Description
- Language:
- English
- Pubs id:
-
pubs:134805
- UUID:
-
uuid:61eb775e-6162-4c96-b833-123392a690a6
- Local pid:
- pubs:134805
- Source identifiers:
-
134805
- Deposit date:
- 2013-11-16
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- Copyright date:
- 2006
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