On non-linear wave interaction with cylindrical bodies: a vortex sheet approach |
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| Authors: | PK Stansby A Slaouti |
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| Institution: | Simon Engineering Laboratories, University of Manchester, Manchester, UK |
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| Abstract: | An alternative, relatively straightforward, method is presented for calculating non-linear, two-dimensional wave interaction with submerged bodies. The free surface is represented by a vortex sheet and the body surface by a source sheet in a time-stepping procedure with the limitation that overtopping may not occur. Errors inherent in the method are assessed. For starting flow over a circular cylinder with diameter up to at least half a wavelength, the surface profiles local to the cylinder closely approximate those for longer times after only one period. By this time forces, for waves of even moderate steepness, have settled down to values predicted by analytical linear theory. A good approximation to effects associated with wave trains of infinite extent may thus be obtained by simulating a fairly limited space (several wavelengths). |
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