Coupling Traditional Hydrodynamics and Smoothed Particle Hydrodynamics for Increased Performance in 1D Strong Shock Simulations*

We present results from simulations of 1D shock test problems employing a novel scheme coupling traditional hydrodynamics and smoothed particle hydrodynamics. Standard, grid-based hydrodynamics methods typically require high resolution to accurately model the propagation of strong shockwaves due to the large gradients of fluid properties. While adaptive mesh refinement can reduce the number of grids, simulations are still limited to the timestep required for stability by the smallest grid due to the Courant condition. A new method using the meshless Smoothed Particle Hydrodynamics method as a sub-grid model on a coarser Finite Volume is investigated for 1D shock problems. The meshless particles compute interactions directly between each particle and are allowed to flow with the fluid as the shockwave propagates. The hybrid approach shows no speedup for the weaker Sod shock tube problem but demonstrates a speedup of 2.1 and 5.1 times for an acoustic blastwave and Woodward-Collela blastwave problems, respectively. The results from this work will inform the extension of the method to 2D problems and full-scale blast simulations.