A novel coupled Riemann SPH–RKPM model for the simulation of weakly compressible fluid–structure interaction problems.

This paper established a novel Riemann SPH–RKPM fluid–structure interaction numerical model, which is more stable and has lower dissipation than the traditional method. Firstly, an improved dissipation limiter is proposed and applied to Riemann SPH to simulate fluid motion, effectively reducing dissipation while ensuring computational stability. Secondly, an improved method to treat the fluid–structure interaction (FSI) force is proposed, which introduces the Riemann solver into the normal flux method to solve the FSI force. This improvement ensures the smoothness of the flow field pressure at the fluid–structure interface and then improves the stability of the violent impact fluid–structure interaction problem. This paper used the RKPM to solve the large deformation of the structure. Several benchmark tests and one improved example are used to verify the convergence and accuracy of the numerical model. The results calculated in this paper agree with experiment and other numerical methods, proving that the Riemann SPH–RKPM fluid–structure interaction numerical model is effective and has high accuracy. • This paper proposed an improved dissipation limiter for Riemann SPH. • This paper introduced the Riemann solver into the normal flux method to solve the fluid–structure interaction force. • This paper established a completely meshless Riemann fluid–structure interaction numerical model based on the SPH–RKPM model. [ABSTRACT FROM AUTHOR]