A Numerical Study of Wave-in-Deck Impact using a Two-dimensional Constrained Interpolation Profile Method

Abstract

A Constrained Interpolation Profile method following Hu and Kashiwagi (2004) is developed for wave impact applications. Two-dimensional, unsteady, viscous and incompressible flow is assumed. The numerical model is a finite difference high-order up-wind scheme for solving the Navier.Stokes equations. A domainembedding, staggered Cartesian grid is used for the spatial discretization. The water and air phases are modeled as one fluid. The material properties vary across the domain, and the free surface is modeled as a layer rather than a sharp interface. Different surface capturing schemes based on density functions are tested.

Benchmark tests focusing on marine applications are used to develop the code and demonstrate the capabilities and limitations of the method. A numerical wave tank is developed and validated using both higher order wave theory and experimental results from physical wave tanks. Progressive, regular waves are simulated. Wave impact simulations are performed for a simplfied, fixed deck structure. Horizontal and vertical global forces are computed. Different combinations of wave height, wave period and airgap are used in the simulations. The impact process is studied. Parameter studies for wave crest variation and airgap changes are performed. Results are compared with existing experimental results. The global loading process for multiple impacts on the deck box is discussed using both numerical and experimental results.