基于伪弧长移动网格算法的爆炸与冲击多介质问题数值模拟

A large number of physical phenomena in explosion and impact are generated by the interaction of various materials. A multi-material pseudo arc-length algorithm is proposed to numerically simulate the explosion and impact of multi-material flows, which is described by non-conserved five-equation model with the Mie-Grüneisen equation of state. Multi-material pseudo arc-length moving mesh (MM-PALM) algorithm consists of pseudo arc-length moving mesh scheme and interface-sharpening technique. The five-equation non-conserved system is discretized in space by the finite volume approach with a second-order accurate MUSCL scheme and the temporal discretization with a multistage TVD Runge-Kutta method. Pseudo arc-length moving mesh scheme is used to reduce the singularity of strong impact discontinuity and capture the wave-front of explosive shock wave accurately. The interface-sharpening technique is adopted to maintain a precise interface between multi-material flows. The research results of one-dimensional shock tube problem and two-dimensional underwater explosion problem show that the MM-PALM algorithm is feasible, and research can accurately capture the wave front of explosive shock wave and describe the interface between multi-material flows.