| ATTRIBUTE | VALUE |
|---|
| type | A |
| database id | 7650 |
| title | Boussinesq-type equations for long waves in water of variable depth |
| authors | Szmidt J. K.1 |
| affiliations | |
| pages | 3 — 22 |
| notes | Kopia w oprac. wew. Tp4232 |
| full text link | http://www.ibwpan.gda.pl/storage/app/media/ahem/ahem58str003.pdf |
| keywords | long waves, wave propagation, variable water depth |
| abstracts | The paper deals with the problem of the transformation of long gravitational waves propagating
in water of variable depth. The main attention of the paper is focused on the derivation
of equations describing this phenomenon. These equations are derived under the assumption
that the non-viscous fluid is incompressible and rotation free, and that the fluid velocity
components may be expressed in the form of the power series expansions with respect to
the water depth. This procedure makes it possible to transform the original two-dimensional
problem into a one-dimensional one, in which all unknown variables depend on time and
a horizontal coordinate. The partial differential equations derived correspond to the conservation
of mass and momentum. The solution of these equations is constructed by the
finite difference method and an approximate discrete integration in the time domain. In
order to estimate the accuracy of this formulation, theoretical results obtained for a specific
problem were compared with experimental measurements carried out in a laboratory flume.
The comparison shows that the proposed theoretical formulation is an accurate description
of long waves propagating in water of variable depth. |
| attributes | [reviewed] [scientific] |
| language | en |
| PART OF |
|---|
| type | C |
| database id | 7852 |
| year | 2011 |
| series | Archives of Hydro-Engineering and Environmental Mechanics |
| issue | Vol. 58, No. 1-4 |
| publisher | Wydawnictwo IBW PAN |
| place | Gdańsk |