Abstract
A two-phase flow model is developed to study violent impact flow problem. The model governed by the Navier-Stokes equations with free surface boundary conditions is solved by a Constrained Interpolation Profile (CIP)-based high-order finite difference method on a fixed Cartesian grid system. The free surface is immersed in the computation domain and expressed by a one-fluid density function. An accurate Volume of Fluid (VOF)-type scheme, the Tangent of Hyperbola for Interface Capturing (THINC), is combined for the free surface treatment. Results of another two free surface capturing methods, the original VOF and CIP, are also presented for comparison. The validity and utility of the numerical model are demonstrated by applying it to two dam-break problems: a small-scale two-dimensional (2D) and three-dimensional (3D) full scale simulations and a large-scale 2D simulation. Main attention is paid to the water elevations and impact pressure, and the numerical results show relatively good agreement with available experimental measurements. It is shown that the present numerical model can give a satisfactory prediction for violent impact flow.
Highlights
Violent water impact may occur in many hydrodynamics problems associated with important coastal and offshore engineering applications
The objective of the study is to examine the performance of the model based on the Constrained Interpolation Profile (CIP) method and Tangent of Hyperbola for Interface Capturing (THINC) scheme for simulating the violent impact and the dam-break flow problems
As pointed out by Hu and Kashiwagi [22], the free surfaces computed by the THINC scheme are very compact, while those obtained by the Volume of Fluid (VOF) and CIP schemes are diffusive after the water
Summary
Violent water impact may occur in many hydrodynamics problems associated with important coastal and offshore engineering applications. Kleefsman et al [4] studied green water impact problem using a Navier-Stokes solver combined with a VOF model for free surface modeling. For numerical study of violent impact flow problems, the nonlinear distorted free surface is one of its main difficulties. In [22], a dam-break and oscillation experiments were performed to validate the 2D numerical model with the CIP method for the solution of advection equation of Navier-Stokes equation and for the free surface treatment. The dam-break flow is widely used to examine the performance of various numerical techniques designed for simulating the surface interfacial and impact problems. The objective of the study is to examine the performance of the model based on the CIP method and THINC scheme for simulating the violent impact and the dam-break flow problems.
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