We analyze the interactions between a subsurface shear current of uniform vorticity and a moving surface disturbance of anisotropic shape which generates surface gravity waves. The problem extends previous analysis of ship waves in the presence of a shear current varying linearly with depth, now also accounting for the three dimensional shape of real ships, in order to study the interplay of aspect ratio and the shear current. Based on general solutions derived previously, we apply an elliptical Gaussian pressure disturbance at the surface moving at constant velocity as a model for a real “ship”. Wave contributions in the far field and expressions for the Mach angle (of maximum wave amplitude) based on asymptotic expressions for high Froude numbers, are derived thereafter. Through numerical calculations we present wave patterns, as well as Kelvin and Mach angles, at moderate Froude numbers under different shear strenghts and aspect ratios. Results show that the aspect ratio has negligible effect on the value of the critical shear vorticity and Kelvin angle, whereas a subtle interplay of aspect ratio and shear strenght is found to affect the Mach angle at moderate Froude numbers.
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ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering
June 19–24, 2016
Busan, South Korea
Conference Sponsors:
- Ocean, Offshore and Arctic Engineering Division
ISBN:
978-0-7918-4998-9
PROCEEDINGS PAPER
Effect of Anisotropic Shape on Ship Wakes in Presence of Shear Current of Uniform Vorticity Available to Purchase
Yan Li,
Yan Li
Norwegian University of Science and Technology, Trondheim, Norway
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Simen Å. Ellingsen
Simen Å. Ellingsen
Norwegian University of Science and Technology, Trondheim, Norway
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Yan Li
Norwegian University of Science and Technology, Trondheim, Norway
Simen Å. Ellingsen
Norwegian University of Science and Technology, Trondheim, Norway
Paper No:
OMAE2016-54250, V007T06A002; 8 pages
Published Online:
October 18, 2016
Citation
Li, Y, & Ellingsen, SÅ. "Effect of Anisotropic Shape on Ship Wakes in Presence of Shear Current of Uniform Vorticity." Proceedings of the ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering. Volume 7: Ocean Engineering. Busan, South Korea. June 19–24, 2016. V007T06A002. ASME. https://doi.org/10.1115/OMAE2016-54250
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