A numerical method for the solution of a line source under a free surface |
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| Authors: | Iskender Sahin Assistant Professor Allen H Magnuson Asssciate Professor |
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| Institution: | Engineering Science and Mechanics Department, USA;Aerospace and Ocean Engineering Department, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061 U.S.A. |
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| Abstract: | A modified source-and-dipole type singularity panel method is proposed to calculate the flow properties for an oscillating arbitrary body in the presence of a free surface. The technique is based on Green's identity whereby the boundary value problem is expressed as a boundary integral equation which is solved numerically. The free-space Green function is used in the integral equation. To demonstrate the feasibility of the method, the problem of a pulsating submerged line source under a free surface is treated and results are compared with the exact solution.An excellent agreement with the theory is obtained for panel density of about ten panels per wavelength and paneled water surface length of two wavelengths with very low computing times, indicating the feasibility of the method for unsteady water wave problems. |
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