ABSTRACT

Based on our highly efficient Navier-Stokes solver, LVOF (Li, et al., 2004, 2007), we present some results for water entry and exit in a 3D numerical wave tank, by implementing our design of a mass-force coupling scheme for water impact (Li, et al., 2007a). LVOF is constructed by a novel VOF finite volume cut-cells approach that incorporates surface tension, coupled with a dynamic subgrid-scale model. Our mass-force coupling model in theory represents the coupling of a moving body on the flow, which is realized through introducing the internal source function. Importantly, a solid body is treated as a fluid, especially the solid-liquid phase front is captured over a fixed Cartesian grid without smearing the information at the particle-fluid interface. Grid refinement studies are performed for test problems involving the wedge entry and exit. In addition, issue about the convergence performance is addressed under the prescribed entry velocity. Very encouragingly, the results agree with measurements available. It is demonstrated that most of typical features in complex flow patterns can be captured in waves caused by impact, by using LVOF.

INTRODUCTION

Fluid-body coupling is the particular problems of interest, especially when a solid body is slamming into water, as such slamming can give rise to serious damages to structures. Physically, the major process involved is subjected to splashing and breaking waves, characterized by violent free-surface deformation, implying strong nonlinear features in the localized turbulent flow. Theoretically, the relevant study mainly involves numerical modelling of moving boundary problems associated with the free surface and the fluid-particle interface as well. Until recently, various theory models are applied for case studies related to slamming problems. Within the framework of the Navier-Stokes equations, probably most of the study in this area is restricted to 2D.

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