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Theoretical mean wave resistance of precursor soliton generation of single-layer flow
Authors:Xu Zhao-ting  Shi Feng-yan  Lou Shun-li  Samuel Shan-pu Shen
Abstract:Theoretical mean wave resistance and regional division of the energy of single-layer flow over topogra-phy is studied at the near-resonant region in the weakly nonlinear, long wave limit. The theoretical meanwave resistance is determined in terms of the 1st and 2nd conservation laws of the fKdV equation. It isproved by the asymptotic mean method that the theoretical mean wave resistance depends only on the intensityand moving velocity of the topography. The theoretical results of this paper are in good agreement withnumerical calculations. Comparisons between the theoretical and numerical results showed that the theoryof the present paper holds for any small compact topography.
Keywords:were resistance  precursor soliton  fKdV equation  hydraulic fall
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