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Analytical Solution For Long-Wave Scattering By A Submerged Cylinder In An Axi-Symmetrical Pit, Huan-Wen Liu, Xiao-Ling Sun
Analytical Solution For Long-Wave Scattering By A Submerged Cylinder In An Axi-Symmetrical Pit, Huan-Wen Liu, Xiao-Ling Sun
Journal of Marine Science and Technology
This paper proposes an analytical solution to the long-wave equation for waves propagating over a submerged cylinder located in a pit. The pit was assumed to be axi-symmetrical and convex or concave in shape, which may represent a submerged sill being scoured at its toe. Techniques of variable separation and Taylor series expansion were applied to find the analytical solution. It is found that Longuet-Higgins’ classical analytical solutions for waves scattered by a submerged circular sill and by a submerged circular pit are actually special cases of the present analytical solution. By using this analytical solution, the influence of the …
Analytical Solution For Long-Wave Scattering By A Submerged Cylinder In An Axi-Symmetrical Pit, Huan-Wen Liu, Xiao-Ling Sun
Analytical Solution For Long-Wave Scattering By A Submerged Cylinder In An Axi-Symmetrical Pit, Huan-Wen Liu, Xiao-Ling Sun
Journal of Marine Science and Technology
This paper proposes an analytical solution to the long-wave equation for waves propagating over a submerged cylinder located in a pit. The pit was assumed to be axi-symmetrical and convex or concave in shape, which may represent a submerged sill being scoured at its toe. Techniques of variable separation and Taylor series expansion were applied to find the analytical solution. It is found that Longuet-Higgins’ classical analytical solutions for waves scattered by a submerged circular sill and by a submerged circular pit are actually special cases of the present analytical solution. By using this analytical solution, the influence of the …