A New Slender Body Theory for Shallow Water and Comparison with Experimental and Two Other Numerical Methods

M. Alidadi, O. Goeren, D. B. Danisman, S. Calisal
This study compares the results of a new slender body formulation for shallow water applications with two other well established methods for a Wigley hull. For the slender-body method for shallow water, the velocity potential is decomposed into a double-body potential and a perturbation potential. Using an order of magnitude analysis, the threedimensional governing equation for the flow field around a slender hull is reduced into a series of two-dimensional problems in cross-flow planes as in
more » ... flow planes as in the 2D+t methods. An Eulerian-Lagrangian approach is then used to satisfy the free surface condition. An implicit unsteady solver modeling and VOF model are used for the CFD simulations, using Star-CCM+. The numerical results obtained from these two methods for a Wigley hull are then compared with the new results. In addition the wave elevation and wave resistance results are compared against the predictions of Dawson method and experimental data. The effect of shallow water on resistance trim and squat are calculated and a ceiling for speed in shallow water is observed. NOMENCLATURE
doi:10.18451/978-3-939230-38-0_7 fatcat:6wyihqhqubdclhjkrw3hhwmhny