N.S.Gorodetckaia, T.N.Scherbak, V.I.Nikishov Scattering of surface gravity waves by underwater step |
Applied hydromechanics, Vol. 17 (89) ¹ 4, (2015) |
| The paper developed a method of improved reduction for calculating the scattering of surface gravity waves on a sharp change in flow depth, i.e. on the step. This method is taken into account that the feature of the velocity distribution in the vicinity of the sharp edges of the step. In this case, this feature is a power function. To solve the problem the solution is represented as a series of eigenfunctions. The asymptotic properties of the unknown coefficients of the expansion are based on the extraction of the local features of the velocity at the top of the step. It is shown that the use of improved reduction lets us to reduce the amount of calculation and improve the quality of the solutions. A comparison with the known data of other authors is accomplished. A plane-wave and long-wave approximations is fulfilled. It is shown that non-propagating modes must be taken into account when waves with small wavelengths are considered. |
|
KEY WORDS: surface gravity waves, scattering, step, eigenfunctions |
| TEXT LANGUAGE: Russian |