Numerical experiments on slamming of rigid wedge-shaped bodies

Causon, Derek M., Mingham, Clive G., Ingram, David M. and Qian, Ling (2004) Numerical experiments on slamming of rigid wedge-shaped bodies. [Conference or Workshop Item]

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Abstract

A Cartesian cut cell two-fluid interface capturing solver has been applied to the flow problem of slamming of rigid wedge-shaped bodies. The underlying scheme is based on the solution of the incompressible Euler equations for a variable density fluid system for capturing the free surface and the cut cell method for tracking moving solid boundaries on a background stationary Cartesian grid. The computational domain encompasses both fluid regions and the interface between the two fluids is treated as a contact discontinuity in the density field which is captured automatically as part of the solution using a high resolution Godunov-type scheme based on the artificial compressibility method. The Cartesian cut cell technique provides a fully automated process for generating body fitted meshes, which is particularly useful for moving body problems. Several test cases involving water entry of 2-D rigid wedge-shaped bodies with various deadrise angles have been calculated using the present approach and the results compare very well with other theoretical results. Finally, a test case involving water entry and total immersion of a 2-D wedge-shaped body is also calculated to demonstrate the ability of the current method to tackle general two fluid flows with interface break-up, reconnection, entrapment of one fluid into the other, as well as moving bodies of complex geometry. Copyright © 2004 by The International Society of Offshore and Polar Engineers.