Abstract
A 2-D numerical wave flume based on a multiphase flow model with solid-gas-liquid interaction is presented in this paper. The governing equations are divided into an advection step and a non-advection step by making use of a time splitting method. A CIP method is used to calculate the hyperbolic equations for velocity and pressure at the advection step, while equations at the non-advection step are solved with an extended SMAC method. Conservation equation of mass is directly solved by using a CIP-CSL2 method. A non-reflective wave generator employing a source/sink method for wave generation and an energy dissipation zone are utilized to realize the numerical wave flume. Besides, the constitutive laws of the non-Newtonian fluid are taken into account to make the model capable of simulating the behavior of Bingham fluid. The validity and utility of the numerical wave flume are demonstrated by applying it to wave breaking and post-breaking wave deformation on the slope, the dynamic motion of a floating body under wave action and the collapse of the Bingham fluid column with multiple rigid bodies.
Highlights
Coastal zones are at risk of huge coastal disasters caused by tsunami, storm surge, extreme wave, wave overtopping and so on
A CIP method developed by Yabe and Aoki (1991) is used to calculate the hyperbolic equations for all variables at the advection step, while equations at the non-advection step are solved with an extended SMAC method, which can simulate both compressible and incompressible fluid
The equations at the advection step are calculated by using the CIP method with 3rd-order accuracy, which can solve the advection equation precisely, taking advantage of the hyperbolic equation f as represented in Eq (11)
Summary
Coastal zones are at risk of huge coastal disasters caused by tsunami, storm surge, extreme wave, wave overtopping and so on. A better understanding of these complicated mechanism processes with air-water-structure interaction is of extremely importance from the viewpoint of disaster prevention. Experimental and numerical studies have been conducted for investigating and clarifying physical phenomena in coastal areas. These physical phenomena are generally constituted by solid, gas and liquid phase fields, such as structures, sediments, winds, waves and currents. Tsunami disasters cause direct damages due to tsunami itself and indirect damages resulting from collisions between coastal defense facilities and drifting bodies including timbers, containers and cars
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