An investigation into the pressure on solid walls in 2D sloshing using SPH method

In this paper, the pressure on solid boundaries in 2D sloshing problem for forced rolling motion is numerically investigated using smoothed particle hydrodynamics (SPH) method. The improved SPH model applied in this paper combines some advanced correction algorithms. The Moving Least Squares (MLS) method is used in the density reinitialization to obtain smoother and more stable pressure field in numerical simulation. An improved coupled dynamic solid boundary treatment (SBT) algorithm is implemented, and great improvement in the pressure field near solid boundaries is achieved. To analyze the pressure of specified points on solid walls, a special pressure measurement method on solid walls based on the coupled dynamic SBT method is given. In this method, both the physical pressure of the boundary particle and a correction term based on the repulsive forces are taken into account. Numerical results obtained show good agreement with the experimental ones in the analysis of both the pattern of the flow field and the pressure on the solid boundary. Further conclusions based on these results are discussed.

► An improved SPH model for liquid sloshing problems is presented.
► A special pressure measurement method is applied.
► Severe phenomenon occurs as the excitation frequency is closer to the natural one.
► Double peaks in pressure curves occur as the excitation frequency grows higher.
► The relationship between the pressure amplitude and the excitation frequency.