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《Journal of Dalian University of Technology》 1982-04
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Effect of Wave-Current Interaction on the Wave Parameter

Li Yucheng  
The interaction of a gravity wave with a steady uniform current is dis- cussed in this paper. Analysis indicates there is no dominant difference between the results derived from the equation of conservation of wave energy flux and those derived from the equation of conservation of wave action flux. Numerical calculations of wave length change by different non-linear wave the- ories show that errors in the results computed by the linear wave theory are less than 10 percent within the range of 0.15≤d/Ls≤0.40, 0.0l≤Hs/Ls≤0.07 and -0.15≤U/Cs≤0.30, where d is the water depth, Hs is the wave height in still water, Ls is the wave length in still water, Cs is the wave celerity in still water and U is the surface current velocity. Numerical calculations of wave height change employing different wave theories show that errors in the results obtained by the linear wave theory in comparison with the non-linear theories are greater when the opposing relative current and wave steepness become larger. However, within the range of the following currents such errors wil1 not be significant. These results were verified by model tests. Nomograms for the modification of wave length and height by the linear wave theory and Stoke's thirds order theory are Presented for a wide range of d/Ls, Hs/Ls and U/C. These nomograms provide the design engineer with a practical guide for estimating wave lengths and heights affected by currents. Associate Professor, the Research Institute of Ocean Engineering, Dalian Institute of Technology, Dalian 116024, People's Republic of China.
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