Adaptive Total Lagrangian Eulerian SPH for high-velocity impacts

This paper presents a novel coupling between the Total Lagrangian and Eulerian formulations of Smooth Particle Hydrodynamics (SPH) method. It is implemented such that formulation can adaptively convert to an (referred as AdapTLE in this work) applied high-velocity impact problems. The makes use mixed kernel-and-gradient correction scheme, which order improve consistency conserve momentum. Additionally, symmetrical terms, are often found SPH, included derivation conservation equations reduce number calculations required. A implementation artificial viscosity suggested for formulation, kernel gradient undeformed state therefore does not require neighbour lists be updated. form singularly or coupled one. Numerical examples including patch test, two-dimensional three-dimensional problems were simulated evaluate method demonstrate benefits AdapTLE, was produce superior results either independently. due retention until severe distortions required conversion significantly reduced effect tensile instability latter.