A parameter-free approach for 3D staggered Lagrangian hydrodynamics

Abstract

In engineering applications, excessive artificial parameters can consume significant computational resources, particularly in 3D. This study presents a novel parameter-free approach for 3D staggered Lagrangian hydrodynamics that eliminates the need for artificial parameters and offers advantages over traditional methods. We construct a new form of artificial viscosity and give a new explanation for preventing the hourglass phenomenon. The proposed scheme ensures conservation of total mass, total momentum, and total energy through its unique formulation. Extensive testing has demonstrated the high robustness of this scheme, making it well-suited for multi-physics problems and various engineering applications.