Unified description of fluids and solids in Smoothed Particle Hydrodynamics

• First successful discretization of the unified model continuum mechanics with an SPH scheme. Single PDE system, single scheme for fluids and solids. Tensile instability particles in solids is treated via energy penalty term. Smoothed Particle Hydrodynamics (SPH) methods are advantageous simulations domains free boundary. Special have also been developed to simulate However, there situations where matter behaves partly as a fluid solid, instance, solidification front 3D printing, or any system involving both solid phases. We develop SPH-like method that suitable at same time. Instead typical hydrodynamics, we discretize Symmetric Hyperbolic Thermodynamically Compatible equations (SHTC), which describe fluids, elastic solids, visco-elasto-plastic within framework. The resulting SHTC-SPH then tested on various benchmarks from hydrodynamics dynamics shows remarkable agreement data.