A Theoretical Investigation on the Wave Forces on the Multiple Cylinders in Shallow Water

Su Ming-de; Pan Yu

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Su Ming-de, Pan Yu. A Theoretical Investigation on the Wave Forces on the Multiple Cylinders in Shallow Water[J]. Applied Mathematics and Mechanics, 1987, 8(4): 367-376.

Citation:

Su Ming-de, Pan Yu. A Theoretical Investigation on the Wave Forces on the Multiple Cylinders in Shallow Water[J]. Applied Mathematics and Mechanics, 1987, 8(4): 367-376.

Citation:

Su Ming-de, Pan Yu. A Theoretical Investigation on the Wave Forces on the Multiple Cylinders in Shallow Water[J]. Applied Mathematics and Mechanics, 1987, 8(4): 367-376.

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A Theoretical Investigation on the Wave Forces on the Multiple Cylinders in Shallow Water

Su Ming-de,
Pan Yu

Qinghua University, Beijing

Received Date: 1985-09-10
Publish Date: 1987-04-15

Abstract

Abstract

The diffraction problem of two kinds of shallow water wave, cnoidal wave and solita. wave, around a group of cylinders is discussed. A Bessel corrdinate transformation i. employed to uniform the coordinate system, and thus the boundary condition on each cylinder's surface can be satisfied by determining the coefficients in the solution. Several examples are calculated for two kinds of incident wave and various arrangement of the cylinders, and the results are discussed and compared with the available experimental data.

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References(7)

References

[1]	Spring,B.and P.L.Monkmeyer,Interaction of plane waves with vertical cylinders,Proceedings of the 14th International Conference on Constal Engineering,Copenhagen,Denmark,ASCE(1974),1828-1847.
[2]	MacCamy,R.C.and R.A.Fuchs,Wave forces on piles:A diffrection theory,Technical Memorandum No 69 Beach Erosion Board,Coastal Engin.Research Centre,U.S.Army Washington D.C.(1954).
[3]	Chakrabarti,Subrata K.,Wave forces on multiple vertical cylinders,Journal of the Waterways,Harbors and Coastal Engineering Division,ASCE,104,ww 2,May(1978).
[4]	Alliney,Stefano,Water waves diffraction around cylindrical obstacles,Appl.Math.Modelling,5,Aug.(1981),1985.
[5]	Isaacson,M.de St.Q.,Shallow wave diffraction around large cylinder,Journal of the Waterways,Port,Coastal and Ocean Division,ASCE,103,ww1,Proc.Paper 12756,Feb.(1977),69-82.
[6]	Isaacson,M.de.St.Q.,Solitary wave diffraction around large cylinder,Journal of the waterways,Port,Coastal and Ocean Engineering ASCE,109,ww1,Proc.Paper 17671,Feb.(1983),121-127.
[7]	Abramowitz,M.and I.A.Stegun,Handbook of Mathematical Functions,National Bureau of Standards,Washington,D.C.(1964).