标题： 双流尘埃激波：简单的基准问题及对原行星盘的应用 显示英文标题

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

摘要： 星际介质中尘埃所起的关键作用促使人们开发了数值代码，以研究诸如湍动分子云和原行星盘等系统中尘埃与气体的耦合演化。 尘埃与气体之间的漂移已被证明不仅重要，而且在数值上具有挑战性。 我们通过数值求解两流体尘埃-气体方程来模拟稳态平面平行激波，为尘埃气体代码提供简单的基准问题。 这些方程的两种不同的激波解允许数值代码测试两种流体之间不同形式的拖曳力、拖曳力的强度以及尘埃与气体的比例。 我们还提供了J型尘埃-气体激波在研究原行星盘吸积激波结构方面的天体物理学应用。 我们发现，对于粒径大于1微米的颗粒，双流体效应最为显著，并且吸积激波内的尘埃最高温度为推断下落物质的尘埃与气体比例提供了标志。 显示英文摘要

摘要： The key role that dust plays in the interstellar medium has motivated the development of numerical codes designed to study the coupled evolution of dust and gas in systems such as turbulent molecular clouds and protoplanetary discs. Drift between dust and gas has proven to be important as well as numerically challenging. We provide simple benchmarking problems for dusty gas codes by numerically solving the two-fluid dust-gas equations for steady, plane-parallel shock waves. The two distinct shock solutions to these equations allow a numerical code to test different forms of drag between the two fluids, the strength of that drag and the dust to gas ratio. We also provide an astrophysical application of J-type dust-gas shocks to studying the structure of accretion shocks onto protoplanetary discs. We find that two-fluid effects are most important for grains larger than 1 um, and that the peak dust temperature within an accretion shock provides a signature of the dust-to-gas ratio of the infalling material.