Extraction of New Applicable Dimensionless Relations in the Wedge Impact Problem Using WCSPH Method





WCSPH method, Wedge impact, Slamming coefficient, Kernel functions, Mathematical relations


Impact problem associated with water entry of a wedge has important applications in various aspects of naval architecture and ocean engineering. In the present study, the 2DOF (2 Degrees of Freedom) wedge impact problem into the water with various wedge deadrise angles and impact velocities is investigated using Weakly Compressible Smoothed Particle Hydrodynamics (WCSPH) method. Artificial viscosity and density correction are used to create stability and also to prevent the penetration of fluid particles into the solid boundary. Solving the impact problem is very time-consuming, therefore extracting new mathematical relations can be very useful to calculate some important and applicable parameters in a certain range of wedge angles and impact velocities. In the present research, some new dimensionless applicable relations using the Buckingham π theorem are extracted to investigate important parameters such as acceleration and slamming force in general cases of a wedge impact problem. Then, these mathematical relations are validated by the results obtained from the simulations.


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Author Biographies

Jafar Gerdabi, Department of Mechanical Engineering, Shiraz University of Technology, Shiraz, Iran

Jafar Gerdabi received his B.Sc. and M.Sc. degrees from Birjand University and Shiraz University of Technology, Iran, in 2014 and 2017, respectively; both in Mechanical Engineering. His research focuses on fluid-structure interaction problems, non-Newtonian fluids, and the smoothed particle hydrodynamics method. Analysis of numerical results in order to find out the general formulas with the help of dimensionless relations is one of his favourite activities in mathematics. He is also interested in computer programming.

Amir H. Nikseresht, Department of Mechanical Engineering, Shiraz University of Technology, Shiraz, Iran

Amir H. Nikseresht received his B.Sc., M.Sc., and Ph.D. from Shiraz University, Shiraz, Iran in 1995, 1997, and 2004, respectively, all in Mechanical Engineering. He is currently an Associate Professor of Mechanical Engineering at Shiraz University of Technology, Shiraz, Iran. His research interests include free surface flows, wave energy, CFD, hydrodynamics, and the smoothed particle hydrodynamics method.

Mohammad A. Esmaeili Sikarudi, Department of Mechanical Engineering, Shiraz University of Technology, Shiraz, Iran

Mohammad A. Esmaeili-Sikarudi received his Ph.D. in Mechanical Engineering from Shiraz University of Technology. His research interests involve two-phase modeling and the smoothed particle hydrodynamics method.


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Original Article