We discuss a generalization of the classic Keplerian disk test problem allowing for both pressure and rotational support, as a method of testing astrophysical codes incorporating both gravitation and hydrodynamics. We argue for the inclusion of pressure in rotating disk simulations on the grounds that realistic, astrophysical disks exhibit non-negligible pressure support. We then apply this test problem to examine the performance of various smoothed particle hydrodynamics (SPH) methods incorporating a number of improvements proposed over the years to help SPH better address problems noted in modeling the classical gravitation only Keplerian disk. We also apply this test to a newly developed extension of SPH based on reproducing kernels called CRKSPH. Counterintuitively, we find that pressure support worsens the performance of traditional SPH on this problem, causing unphysical collapse away from the steady-state disk solution even more rapidly than the purely gravitational problem, whereas CRKSPH greatly reduces this error.
Differentiable Cosmological Hydrodynamics for Field-Level Inference and High Dimensional Parameter Constraints
Kavli IPMU (WPI), UTIAS, The University of Tokyo（东京大学 Kavli宇宙物理数学研究所（WPI）UTIAS）；Center for Data-Driven Discovery, Kavli IPMU (WPI), UTIAS, The University of Tokyo（东京大学 Kavli宇宙物理数学研究所（WPI）UTIAS 数据驱动发现中心）；Lawrence Berkeley National Lab（劳伦斯伯克利国家实验室）
