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2-D numerical solution to the added mass and damping coefficients for symmetrical system of horizontal circle cylinders submerged below the free surface of inviscid infinite depth fluid. (English) Zbl 1399.65111

Summary: In the present paper, the hydrodynamic characteristic (the added mass and the damping coefficients) of systems of parallel horizontal cylinders are reviewed from the viewpoint of the small-amplitude waves theory. They are defined on the basis of the diffration theory and the strip theory (2-D linear boundary-value problem), using the technique of distributing hydrodynamic source singularities over the submerged portion of the cylinders. The hydrodynamic characteristics are obtained through oscillatory velocity potential derived by the complex-valued Green’s function in frequency domain approach.
A computer programme for calculating the hydrodynamic characteristic and forces upon multiple parallel horizontal cylinders with a vertical plane of symmetry has been devised in Fortran code. The hydrodynamic characteristic of three and four circular cylinders’ system in infinite depth water have been computed and presented in graphical form.

MSC:

65E05 General theory of numerical methods in complex analysis (potential theory, etc.)
76B07 Free-surface potential flows for incompressible inviscid fluids
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