Numerical experiments on estimating the effect of non-linearity on long wave propagation over a seamount
In the context of the nonlinear, theory of long waves, we solve, using numerical techniques, a non-stationary problem on the barotropic wave propagation over an isolated bottom elevation. The time interval during which the wave process over an obstacle sets in is determined. The relative contributions of the non-linear terms to the model equations have been analysed. A practical criterion of applicability of the linear approximation to the problem examined has been formulated.
KeywordsClimate Change Numerical Experiment Wave Propagation Model Equation Environmental Physic
Unable to display preview. Download preview PDF.
- 1.Golubev, Yu. N., Ivanov, V. F. and Cherkesov, L. V., On the deformation of a long wave propagating over a submerged mountain.Mor. Gidrofiz. Issled. Sevastopol: MHI AN USSR, (1978) No. 1, pp. 32–43.Google Scholar
- 2.Golubev, Yu. N., Fomin, V. V. and Cherkesov, L. V. The interaction of surface gravity waves with a local bottom elevation in a homogeneous ocean.Mor. Gidrofiz. Zhurn. (1986) No. 1, 5–11.Google Scholar
- 3.Reynolds, R. W. Some effects of an elliptic ridge on waves of tidal frequency.J. Phys. Oceanogr. (1978)8, 38–46.Google Scholar
- 4.Marchuk, A. G., Chubarov, L. B. and Shokin, Yu. I.Numerical Modelling of Tsunami Waves. Novosibirsk: Nauka (1983) 175 p.Google Scholar
- 5.Sielecki, A. and Wurtele, M. G. The numerical integration of the nonlinear shallow-water equations with sloping boundaries.J. Comp. Phys. (1970)6, 219–236.Google Scholar
- 6.Bondarenko, A. L. and Bychkov, V. S. Marine baric waves.Meteorol. Gidrol. (1983) No. 6, 86–91.Google Scholar