Numerical simulation of wave impact on a rigid wall using a two-phase compressible SPH method

TL;DR

This paper presents an advanced two-phase compressible SPH method for simulating wave impacts on rigid walls, effectively handling large density ratios and comparing favorably with Level Set solutions.

Contribution

It introduces improvements to the SPH scheme to prevent tensile instability and integrates a non-linear potential flow solver for initial conditions.

Findings

Accurate modeling of wave impact pressures.

Effective handling of large density ratios.

Comparison shows good agreement with Level Set results.

Abstract

In this paper, an SPH method based on the SPH-ALE formulation is used for modelling two-phase flows with large density ratios and realistic sound speeds. The SPH scheme is further improved to circumvent the tensile instability that may occur in the SPH simulations. The two-phase SPH solver is then used to model a benchmark problem of liquid impact on a rigid wall. The results are compared with an incompressible Level Set solver. Furthermore, a wave impact on a rigid wall with a large entrained air pocket is modelled. The SPH simulation is initialised by the output of a fully non-linear potential flow solver. The pressure distribution, velocity field and impact pressure are then analysed.