Numerical Investigation of Anti-Diffusion Source Term for Free-Surface Wave Flow

Abstract

Accurate simulation of free-surface wave flows around a ship is very important for better hull-form design. In this paper, a computational fluid dynamics (CFD) code which is based on the open source libraries, OpenFOAM, was developed to predict the wave patterns around a ship. Additional anti-diffusion source term for minimizing a numerical diffusion, which was caused by convection differencing scheme, was considered in the volume-fraction transport equation. The influence of the anti-diffusion source term was tested by applying it to free-surface wave flow around the Wigley and KCS model ships. In results, the wave patterns and hull wave profiles of the Wigley and KCS model ships for various anti-diffusion coefficients showed quite close patterns. While, the band width of the water volume-fraction values between 0.1 to 0.9 at the Wigley and KCS model hull surfaces was narrowed by considering the anti-diffusion term. From the results, anti-diffusion source term decreased free-surface smearing.

Platform Motions and Mooring System Coupled Solver for a Moored Floating Platform in a Wave

“…where α is 1 in the water phase, 0 in the air phase, and 0 < α < 1 in the interface region. The third term is an anti-diffusion source term that artificially reduces the solution smearing of the volume fraction transport equation [10][11][12]. In this study, the value of 0.5 was used.…”