Two-fluid dusty shocks: simple benchmarking problems and applications to protoplanetary discs

摘要

The key role that dust plays in the interstellar medium has motivated thedevelopment of numerical codes designed to study the coupled evolution of dustand gas in systems such as turbulent molecular clouds and protoplanetary discs.Drift between dust and gas has proven to be important as well as numericallychallenging. We provide simple benchmarking problems for dusty gas codes bynumerically solving the two-fluid dust-gas equations for steady, plane-parallelshock waves. The two distinct shock solutions to these equations allow anumerical code to test different forms of drag between the two fluids, thestrength of that drag and the dust to gas ratio. We also provide anastrophysical application of J-type dust-gas shocks to studying the structureof accretion shocks onto protoplanetary discs. We find that two-fluid effectsare most important for grains larger than 1 um, and that the peak dusttemperature within an accretion shock provides a signature of the dust-to-gasratio of the infalling material.