The problem of mathematical modeling of internal gravity wave fields generated by an unsteady perturbation source moving in the stratified ocean of finite depth is considered. Integral forms of the solution are obtained in the linear approximation for a separate wave mode, and it is shown that, at certain generation parameters, the wave pattern of excited internal wave fields represents systems of hybrid wave perturbations which simultaneously have the properties of two waves of the following two types: annular-like (transverse) and wedge-like (longitudinal). The results of numerical simulations describing the basic specific features of the phase structures and wave patterns of the excited fields depending on the generation parameters are presented and discussed.
Internal gravity waves, moving source, stratified ocean, wave patterns, phase structure
1. Abdilghanie, A. M., Diamessis, P. J. The internal gravity wave field emitted by a stably stratified turbulent wake, // J. Fluid Mech., 2013. - v. 720 - p. 104.
2. Bulatov, V. V., Vladimirov, Yu. V. Wave Dynamics of Stratified Mediums - Moscow: Nauka., 2012. - 584 pp.
3. Bulatov, V. V., Vladimirov, Yu. V. Volni v Stratifitsirovannikh Sredakh - Moscow: Nauka., 2015a. - 735 pp.
4. Bulatov, V. V., Vladimirov, Yu. V. Internal gravity waves excited by a pulsating source of perturbations, // Fluid Dynamics, 2015b. - v. 50 - no. 6 - p. 741.
5. Massel, S. R. Internal Gravity Waves in the Shallow Seas - Berlin: Springer., 2015. - 163 pp.
6. Mei, C. C., Stiassnie, M., Yue, D. K.-P. Theory and applications of ocean surface waves. Advanced series of ocean engineering. V. 42 - London: World Scientific Publishing., 2017. - 1500 pp.
7. Morozov, E. G. Semidiurnal internal wave global field, // Deep Sea Res., 1995. - v. 42 - no. 1 - p. 135.
8. Morozov, E. G. Oceanic Internal Tides. Observations, Analysis, and Modeling - Berlin: Springer., 2018. - 317 pp.
9. Navrotsky, V. V., Liapidevskii, V. Yu., Pavlova, E. P. Features of internal waves in a shoaling thermocline, // Int. J. Geosciences, 2013. - v. 4 - p. 871.
10. Pedlosky, J. Waves in the Ocean and Atmosphere: Introduction to Wave Dynamics - Berlin: Springer., 2010. - 260 pp.
11. Pisarev, S. V. Low-frequency internal waves near the shelf edge of the Arctic Basin, // Oceanology, 1996. - v. 36 - no. 6 - p. 771.
12. Rees, T., Lamb, K. G., Poulin, F. J. Asymptotic analysis of the forces internal gravity waves equation, // SIAM J. Appl. Math., 2012. - v. 72 - no. 4 - p. 1041.
13. Sutherland, B. R. Internal Gravity Waves - Cambridge: Cambridge University Press., 2010. - 394 pp.
14. Tiugin, D. Iu., Kurkin, A. A. , Pelinovskij, E. N., Kurkina, O. E. Povishenie proizvoditelnosti programnogo kompleksa dlia modelorovaniia vnutrennikh gravitatsionikh voln IGW Research s pomoshchiu Intel Parallel Studio XE 2013, // Fundamentalnaia i Prikladnaia Gidrofizika, 2012. - v. 5 - no. 3 - p. 89.
15. Vlasenko, V., Stashchuk, N., Hutter, K. Baroclinic Tides - NY: Cambridge University Press., 2005. - 372 pp.