On using Boussinesq-type equations near the shoreline: a note of caution
β Scribed by Giorgio Bellotti; Maurizio Brocchini
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 90 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0029-8018
No coin nor oath required. For personal study only.
β¦ Synopsis
We briefly analyze some characteristics of the behavior in very shallow waters i.e. near the shoreline of high-order (dispersive-nonlinear) Boussinesq-type equations. By using the Carrier and Greenspan (1958) solution as test flow conditions we illustrate the behavior of both purely dispersive and dispersive-nonlinear contributions near the shoreline. It is also shown that Boussinesq-type equations can be more usefully handled in the swash zone if written in terms of the total water depth.
π SIMILAR VOLUMES
In this paper, we consider the two-dimensional Newton-Boussinesq equations with the incompressibility condition. We obtain a regularity criterion for the Newton-Boussinesq equations by virtue of the commutator estimate.
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