Tsunamis are among the most destructive natural hazards and can cause massive damage to the coastal communities. This paper presents a first numerical study on the tsunami-like solitary wave impinging and overtopping ...
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Tsunamis are among the most destructive natural hazards and can cause massive damage to the coastal communities. This paper presents a first numerical study on the tsunami-like solitary wave impinging and overtopping based on the mesh-free consistent particle method (CPM). The distinct feature of CPM is that it computes the spatial derivatives in a way consistent with the Taylor series expansion and hence achieves good numerical consistency and accuracy. This largely alleviates the spurious pressure fluctuation that is a key issue for the particlemethod. Validated by the benchmark example of solitary wave impact on a seawall, the CPM model is shown to be able to capture the highly deformed breaking wave and the impact pressure associated with wave impinging and overtopping. Using the numerical model, a parametric study of the effect of seawall cross-sectional geometry on the characteristics of wave overtopping is conducted. It is found that a higher water level can lead to much more intensive overtopping volume and kinetic energy of the overtopping flow, which implies that the coastal areas are at higher risk as the sea level rises. For the purpose of engineering interest, a simple and practical way to estimate the intensity of a real tsunami is presented in terms of the volume and energy of the bulge part of the incident wave.
The two-layer sloshing of water and diesel oil is studied numerically by using the consistent particle method (CPM). CPM is a projection-based particlemethod with the distinct feature of having consistency and high-o...
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The two-layer sloshing of water and diesel oil is studied numerically by using the consistent particle method (CPM). CPM is a projection-based particlemethod with the distinct feature of having consistency and high-order accuracy in computing spatial derivatives. A validation against published experimental data is conducted. Then, the two-layer sloshing under swayonly and coupled sway-heave excitations is studied. For the coupled excitation cases, it is found that the sum/difference of sway and heave frequencies being close to the odd multiple of the system's natural frequency induces secondary violent sloshing even when both excitations are further away from the natural frequency.
This paper presents a numerical study of the solitary wave interaction with a submerged breakwater using the consistent particle method (CPM). The distinct feature of CPM is that it computes the spatial derivatives by...
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This paper presents a numerical study of the solitary wave interaction with a submerged breakwater using the consistent particle method (CPM). The distinct feature of CPM is that it computes the spatial derivatives by using the Taylor series expansion directly and without the use of the kernel or weighting functions. This achieves good numerical consistency and hence better accuracy. Validated by published experiment data, the CPM model is shown to be able to predict the wave elevations, profiles and velocities when a solitary wave interacts with a submerged breakwater. Using the validated model, the detailed physics of the wave breaking process, the vortex generation and evolution and the water particle trajectories are investigated. The influence of the breakwater dimension on the wave characteristics is parametrically studied.
A hybrid strategy combining the advantages of the meshless consistent particle method (CPM) and the meshbased Finite Element method (FEM) is proposed in this paper to solve fluid-structure interaction problems. Water ...
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A hybrid strategy combining the advantages of the meshless consistent particle method (CPM) and the meshbased Finite Element method (FEM) is proposed in this paper to solve fluid-structure interaction problems. Water is modelled by CPM, whereas deformable structure is solved by FEM. Unlike some traditional particlemethods that require a kernel function in computing spatial derivatives, CPM utilizes Taylor series expansion and avoids the use of artificial values of physical parameters (such as artificial viscosity and sound speed). The interaction between water and structure is achieved by a partitioned approach for its flexibility and ease of implementation. To ensure compatibility between CPM and FEM solutions at the fluid-structure interface, an iteration scheme of enforcing pressure Poisson equation (PPE) is proposed. The accuracy and stability of the proposed hybrid strategy are validated through three benchmark examples: water column on an elastic plate, sloshing of sunflower oil interacting with an elastic baffle, and a dam break with an elastic gate. Comparisons between CPM-FEM results with published experimental and numerical results demonstrate the effectiveness and advantages of the proposed hybrid strategy.
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