Numerical simulation of 3D free-surface flows by using CIP-based and FV-based methods

Abstract

In this paper, three-dimensional free-surface flows are simulated by using two different numerical methods, CIP(constrained interpolation profile)-based and FV(finite volume)-based methods. In the CIP-based method, the Euler equation is solved on stationary staggered Cartesian grids by a finite difference method, and an immersed boundary technique is applied to deal with wave-body interactions. In the FV-based method, the governing equations are solved by applying collocated finite volume discretization, and body-fitted meshes are used. Free-surface boundary is considered as the interface of multi-phase flow with air and water, and a volume-of-fluid (VOF) approach is applied to trace free surface. Among many variations of VOF-type method, the tangent of hyperbola for interface capturing (THINC) and compressive interface capturing scheme for arbitrary meshes (CICSAM) techniques are used in the CIP-base method and FV-based method, respectively. Numerical simulations have been carried out for dam-breaking and wave-body interaction problems. The computational results of the two methods are compared with experimental data and their differences are observed. Copyright ？ 2010 by The International Society of Offshore and Polar Engineers.