| ATTRIBUTE | VALUE |
|---|
| type | A |
| database id | 8587 |
| title | Nonlinear interactions between gravity waves in water of constant depth |
| authors | Szmidt J. K.1, Hedzielski B.1 |
| affiliations | |
| pages | 3 — 25 |
| full text link | http://www.ibwpan.gda.pl/storage/app/media/ahem/ahem62str003.pdf |
| keywords | nonlinear water wave, wave interaction, material variables, potential solution |
| abstracts | The paper deals with interactions between water waves propagating in fluid of constant depth.
In formulation of this problem, a nonlinear character of these interactions is taken into account.
In particular, in order to simplify a solution to nonlinear boundary conditions at the free surface,
a system of material coordinates is employed as independent variables in the description of the
phenomenon. The main attention is focused on the transient solutions corresponding to fluid
motion starting from rest. With respect to the initial value problem considered, we confine
our attention to a finite fluid domain. For a finite elapse of time, measured from the starting
point, the solution in a finite fluid area mimics a solution within an infinite domain, inherent
for wave propagation problems. Because of the complicated structure of equations describing
nonlinear waves, an approximate formulation is considered, which is based on a power series
expansion of dependent variables with respect to a small parameter. Such a solution is assumed
to be accurate in describing the main features of the phenomenon. Numerical experiments are
conducted to illustrate the approximate formulation developed in this paper. |
| attributes | [reviewed] [scientific] |
| language | en |
| points | 14 |
| PART OF |
|---|
| type | C |
| database id | 8581 |
| year | 2015 |
| series | Archives of Hydro-Engineering and Environmental Mechanics |
| issue | Vol. 62, No. 1-2 |
| publisher | Wydawnictwo IBW PAN |
| place | Gdańsk |