Incompressible SPH simulation of solitary wave interaction with movable seawalls

Abstract

In this paper, we applied an incompressible Smoothed Particle Hydrodynamics (SPH) method to investigate the impact of solitary waves on seawalls, especially movable seawalls. The SPH method is a mesh-free numerical approach particularly suitable for dealing with large free surface deformations and complex fluid-structure interactions. The incompressible SPH (ISPH) method solves the pressure field using the pressure Poisson equation (PPE), rather than relying on the equation of state. It has the advantage of producing more stable and accurate pressure fields and impact forces on structures. We first applied the model to simulate the solitary wave propagation and runup against a fixed vertical wall. The computations compared well with previous experimental and numerical results. Then, the solitary wave impact on a movable structure was investigated by replacing the fixed wall with a spring-controlled seawall subject to different spring stiffness and mass settings. Particular attention was paid to the prediction of the seawall movement, wave runup height and hydrodynamic loading. The incident wave height was found to be the dominant factor for the movable seawall movement during and immediately after the wave crest arrival at the seawall. Other factors, such as the seawall mass and spring stiffness, become important to the seawall's responses only after the maximum impact.

Modelling of Violent Water Wave Propagation and Impact by Incompressible SPH with First-Order Consistent Kernel Interpolation Scheme

“…The pressure amplitude at P1 and P2 are almost the same. It should be noted that the double peak pressure patterns in Figure 14 have also been reported in a latest ISPH work [36].…”

“…The pressure amplitude at P1 and P2 are almost the same. It should be noted that the double peak pressure patterns in Figure 14 have also been reported in a latest ISPH work [36]. For generality, Figure 15a,b and Figure 16a,b give the comparisons of wave surface elevations at Set1 and Set2, and time histories of wave impact pressures at P1 and P2, respectively, when the slope angle is α = 120 • .…”

Application Research of an Efficient and Stable Boundary Processing Method for the SPH Method

“…Superscripts n and (n + 1) denote the current and future time steps, respectively. The following formulation was adopted to evaluate the impact force on vertical walls by Liang et al (2017, [45]):…”

Consistent Particle Method simulation of solitary wave impinging on and overtopping a seawall

“…In recent years, the solitary wave interactions with subaqueous structures have been studied such as the bottom-mounted rectangular blocks [15] and circular cylinders [16]. Liang et al [17] studied the solitary wave interaction with a vertical movable seawall and explored the effects of various factors on the peak impact force experienced by the seawall. Some of the abovementioned studies contain both the numerical simulations and experimental works.…”