Diffraction of a solitary wave by a thin wedge part 2. Effects of viscous boundary layers
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Based on the study on the Mach reflection of a solitary wave in , we continue to investigate effects of the boundary layers on the bottom and the vertical side wall. By using matched asymptotic methods, the two-dimensional KdV equation is modified to account for effects of viscosity. Numerical can be neglected. The results including the side wall's effects agree satisfactorily with those of Melville's experiments. Finally, we establish the simplified concept of the side wall effect and conclude that it represents the physical reason for the discrepancy between the experiments and the previous calculations based on the inviscid fluid flow theory.
Key Wordssolitary wave Mach reflection two-dimensional KdV equation viscous boundary layer matched asymptotics
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