SPH scheme for simulating the water entry of an elastomer

In the simulations of a water entry problem by SPH (Smoothed Particle Hydrodynamics) method, there has not been much research on the interaction between the elastomer and fluid in SPH because it is difficult to accurately handle the movable and deformable interface. In this work, we address this problem in the following three aspects to obtain a better simulation result. 1. To weaken the pressure oscillations which would lead to numerical instability in violent flows, the Godunov SPH method based on a Riemann solver is used for the fluid. 2. FPM (Finite Particle Method) can improve the kernel estimation accuracy of the SPH. However, the accuracy is decreased when FPM encounters discontinuous problems. Therefore, DFPM (Discontinuous FPM) is presented to preserve the estimation accuracy. 3. Generally, a large number of particles are usually used to describe the interface precisely, giving rise to high computational cost. To decrease the cost, the dynamic particle refinement strategy is applied to the water entry of an elastomer. The slamming force, stress and deformation of the elastomer, and the pressure of the fluid are shown to demonstrate the advantages of the above three aspects for dealing with the water entry of an elastomer.