Abstract
The Smoothed Particle Hydrodynamics (SPH) method has proven to have great potential in dealing with the wave–structure interactions since it can deal with the large amplitude and breaking waves and easily captures the free surface. The paper will adopt an incompressible SPH (ISPH) approach to simulate the wave propagation and impact, in which the fluid pressure is solved using a pressure Poisson equation and thus more stable and accurate pressure fields can be obtained. The focus of the study is on comparing three different pressure gradient calculation models in SPH and proposing the most efficient first-order consistent kernel interpolation (C1_KI) numerical scheme for modelling violent wave impact. The improvement of the model is validated by the benchmark dam break flows and laboratory wave propagation and impact experiments.
Highlights
The wave propagation and its impact on structure is a common natural phenomenon that is very important in the field of ocean and coastal engineering
The Laplace equation with fully nonlinear boundary conditions was used for simple wave problems [1,2,3], while the Navier–Stokes (N-S) equations with more realistic physical boundary conditions were solved in recent numerical models [4,5]
Three pressure calculation models are compared and an optimum is chosen to use in the practical water wave simulations
Summary
The wave propagation and its impact on structure is a common natural phenomenon that is very important in the field of ocean and coastal engineering. The SPH model may use more CPU time than the grid counterpart in some cases, it has the advantage of tracking the free surface in an easy and accurate way In this approach, the governing equations are discretized and solved by the. SPH [14] lies in that the former calculates the fluid pressure explicitly by using an equation of state, while the latter employs a strict incompressible formulation to solve the pressure implicitly by a pressure Poisson equation (PPE) Both the WCSPH and ISPH show capabilities and limitations. An incompressible SPH model will be employed to simulate solitary wave propagation and impact on a slope with different conditions. The wave propagation and impact on an inclined wall are investigated under different slope angles based on the self-designed laboratory experiment
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