THE INSTITUTE NEEDS YOUR HELP
IHM NASU was damaged by the attack of rashist drones
COMPUTER HYDROMECHANICS, 2024 (Program, Abstracts)
IX International Scientific & Practical Conference "Computer Hydromechanics"
HYDRODYNAMICS AND ACOUSTICS
2018 ◊ Volume 1 (91) ◊ Issue 1 ◊ p. 85-98
K. V. Terletska*
* Institute of Mathematical Machines and Systems Problems of NAS of Ukraine, Kyiv, Ukraine
Energy dissipation of internal waves over underwater obstacles
Gidrodin. akust. 2018, 1(1):85-98
https://doi.org/10.15407/jha2018.01.085
TEXT LANGUAGE: Ukrainian
ABSTRACT
The paper presents the results of numerical modeling of internal solitary waves interaction with the underwater obstacles of various shapes. A good agreement of the model and laboratory experiments is demonstrated. The height, length and shape of the obstacle are shown to significantly affect the process of internal wave transformation. Energy dissipation for the wave transforming over an obstacle in the form of a semicircle or rectangle will be greater than that for wave transformation over a triangular obstacle. The energy losses increase with length of the obstacle. Thus, it is proven that the topographical effects (namely, the influence of the shape of underwater obstacles) are potentially important for estimating of energy dissipation.
KEY WORDS
solitary internal waves, underwater obstacle, interaction with a topography, energy dissipation
REFERENCES
- J. N. Moum, J. M. Klymak, J. D. Nash, A. Perlin, and W. D. Smyth, “Energy transport by nonlinear internal waves”, Journal of Physical Oceanography, vol. 37, pp. 1968–1988, 2007. https://doi.org/10.1175/jpo3094.1.
- T. Sakai and L. G. Redekopp, “A weakly nonlinear evolution model for long internal waves in a large lake”, Journal of Fluid Mechanics, vol. 656, pp. 260–297, 2010. https://doi.org/10.1017/s0022112010001114.
- V. Vlasenko, N. Stashchuk, C. Guo, and X. Chen, “Multimodal structure of baroclinic tides in the South China Sea”, Nonlinear Processes in Geophysics, vol. 17, pp. 529–543, 2010. https://doi.org/10.5194/npg-17-529-2010.
- K. D. Sabinin, “Internal wave packets over the Maskaren ridge”, Izvestiya of Academy of Science of the USSR. Atmospheric and Oceanic Physics, vol. 26, pp. 625–633, 1992.
- F. Wessels and K. Hutter, “Interaction of internal waves with a topographic sill in a two-layered fluid”, Journal of Physical Oceanography, vol. 26, no. 2, pp. 5–20, 1996. https://doi.org/10.1175/1520-0485(1996)026<0005:ioiwwa>2.0.co;2.
- V. I. Vlasenko and K. Hutter, “Generation of second mode solitary waves by the interaction of a first mode soliton with a sill”, Nonlinear Processes in Geophysics, vol. 8, pp. 223–239, 2001. https://doi.org/10.5194/npg-8-223-2001.
- C.-Y. Chen, “An experimental study of stratified mixing caused by internal solitary waves in a two-layered fluid system over variable seabed topography”, OceanEngineering, vol. 34, pp. 1995–2008, 2007. https://doi.org/10.1016/j.oceaneng.2007.02.014.
- E. L. Hult, C. D. Troy, and J. R. Koseff, “The breaking of interfacial waves at a submerged bathymetric ridge”, Journal of Fluid Mechanics, vol. 637, pp. 45–71, 2009. https://doi.org/10.1017/s0022112009008040.
- I. A. Brovchenko, N. S. Gorodetskaia, V. S. Maderich, V. I. Nikishov, and E. V. Terletska, “Interaction of internal solitary waves of large amplitude with obstacle”, Applied Hydromechanics, vol. 9(81), no. 1, pp. 3–7, 2007.
- Y. Kanarska and V. Maderich, “A non-hydrostatic numerical model for calculating free-surface stratified flows”, Ocean Dynamics, vol. 53, pp. 176–185, 2003. https://doi.org/10.1007/s10236-003-0039-6.
- V. Maderich, I. Brovchenko, K. Terletska, and K. Hutter, “Numerical simulations of the nonhydrostatic transformation of basin-scale internal gravity waves and wave-enhanced meromixis in lakes”, in Nonlinear internal waves in lakes, K. Hutter, Ed., ser. Advances in Geophysical and Environmental Mechanics, Springer, 2012, ch. 4, pp. 192–276. https://doi.org/10.1007/978-3-642-23438-5_4.
- N. Gorogedtska, V. Nikishov, and K. Hutter, “Laboratory modelling on transformation of large-amplitude internal waves by topographic obstructions”, in Nonlinear internal waves in lakes, K. Hutter, Ed., ser. Advances in Geophysical and Environmental Mechanics, Springer, 2012, pp. 105–191.
- T. W. Kao, R. S. Pan, and D. Renouard, “Internal solitons on the pycnocline: generation, propagation, and shoaling and breaking over a slope”, Journal of Fluid Mechanics, vol. 159, pp. 19–53, 1985. https://doi.org/10.1017/s0022112085003081.
- T. Talipova, K. Terletska, V. Maderich, I. Brovchenko, E. Pelinovsky, K. T. Jung, and R. Grimshaw, “Solitary wave transformation on the underwater step: Asymptotic theory and numerical experiments”, Physics of Fluids, vol. 25, 2013. https://doi.org/10.1063/1.4797455.
- K. V. Terletska, “The interaction of internal solitary waves in the head-on collision”, Applied Hydromechanics, vol. 16(88), no. 2, pp. 70–75, 2014.
- K. Terletska, K. T. Jung, T. Talipova, V. Maderich, I. Brovchenko, and R. Grimshaw, “Internal breather-like wave generation by the second mode solitary wave interaction with a step”, Physics of Fluids, vol. 28, 2016. https://doi.org/10.1063/1.4967203.
- V. Maderich, T. Talipova, R. Grimshaw, K. Terletska, I. Brovchenko, E. Pelinovsky, and B. H. Choi, “Interaction of a large amplitude interfacial solitary wave of depression with a bottom step”, Physics of Fluids, vol. 22, 2010. https://doi.org/10.1063/1.3455984.
- R. Grimshaw, E. Pelinovsky, and T. Talipova, “Fission of a weakly nonlinear interfacial solitary wave at a step”, Geophysical and Astrophysical Fluid Dynamics, vol. 102, no. 2, pp. 179–194, 2008. https://doi.org/10.1080/03091920701640115.