Theoretical mean wave resistance and regional division of the energy of single-layer flow over topography is studied at the near-resonant region in the weakly nonlinear, long wave limit. The theoretical mean wave resistance is determined in terms of the 1st and 2nd conservation laws of the fKdV equation. It is proved by the asymptotic mean method that the theoretical mean wave resistance depends only on the intensity and moving velocity of the topography. The theoretical results of this paper are in good agreement with numerical calculations. Comparisons between the theoretical and numerical results showed that the theory of the present paper holds for any small compact topography.
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Lee, S. J., Yates, G. T., Wu, T. Y., 1989. Experiments and analyses of upstream—advancing solitary waves generated by moving disturbance.J. Fluid Mech. 199: 569–593.
Shen, S. S., 1992. Forced solitary waves and hydraulic falls in two-layer flow over topography.J. Fluid Mech. 232: 583–627.
Wu, T. Y., 1987. Generation of upstream advancing solitons by moving disturbances.J. Fluid Mech. 184: 75–99.
Xu, Z. T., Shi, F. Y., Shen, S. S., 1994. A numerical calculation of forced supercritical soliton in single layer flow.J. Ocean Univ. of Qingdao 24(3): 309–319.
This work supported by the Foundation of the State Education Commission “The Dynamics of Upper Ocean” and grants from The Physical Oceanography Laboratory
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Zhao-ting, X., Feng-yan, S., Shun-li, L. et al. Theoretical mean wave resistance of precursor soliton generation of single-layer flow. Chin. J. Ocean. Limnol. 14, 330–336 (1996). https://doi.org/10.1007/BF02850553
- wave resistance
- precursor soliton
- fkdV equation, hydraulic fall