Modeling impact pressure on the surface of porous structure by macroscopic mesh-free method

In this study, the impacting force on the face of porous structure is investigated by using the mesh-free macroscopic model. To achieve this, the mesh-free macroscopic approach of Moving Particle Semi-implicit method (MPS) is redeveloped. Firstly, a stabilization technique is used in the method to eliminate numerical noise. Secondly, the spatial discretization operators employ a porosity-based coefficient to account for the representative volume to model fluid flows in the porous media. More importantly, an improved numerical technique is proposed to overcome abrupt porosity change at the boundary between the porous and non-porous regions. The numerical model is validated by the dam-breaking waves through porous blocks and flows over porous weirs, in which the simulated free-surface profiles are in good agreement with experimental measurements. By applying the method, how the porosity and mean diameter of porous materials play a role in impacting pressure and wave height for dam-breaking flow through porous block is investigated. It is found that the porous materials with a larger porosity or larger mean diameter are able to easily permit water penetration through the porous media while the impacting pressure at the interface and reflected wave height can be reduced.