The Kelvin-Helmholtz instability and smoothed particle hydrodynamics
arXiv:1908.04893 · doi:10.1088/1742-6596/1225/1/012019
Abstract
There has been interest in recent years to assess the ability of astrophysical hydrodynamics codes to correctly model the Kelvin-Helmholtz instability. Smoothed particle hydrodynamics (SPH), in particular, has received significant attention, though there has yet to be a clear demonstration that SPH yields converged solutions that are in agreement with other methods. We have performed SPH simulations of the Kelvin-Helmholtz instability using the test problem put forward by Lecoanet et al (2016). We demonstrate that the SPH solutions converge to the reference solution in both the linear and non-linear regimes. Quantitative convergence in the strongly non-linear regime is achieved by using a physical Navier-Stokes viscosity and thermal conductivity. We conclude that standard SPH with an artificial viscosity can correctly capture the Kelvin-Helmholtz instability.
arXiv comment8 pages, 5 figures, proceedings of AstroNum 2018, Panama City Beach, FL, USA
References in corpus (15)
- E pur si muove: Galiliean-invariant cosmological hydrodynamical simulations on a moving mesh
- GIZMO: A New Class of Accurate, Mesh-Free Hydrodynamic Simulation Methods
- Athena: A New Code for Astrophysical MHD
- Smoothed Particle Hydrodynamics and Magnetohydrodynamics
- Fundamental differences between SPH and grid methods
- A General Class of Lagrangian Smoothed Particle Hydrodynamics Methods and Implications for Fluid Mixing Problems
- Smoothed Particle Hydrodynamics in Astrophysics
- Modelling discontinuities and Kelvin-Helmholtz instabilities in SPH
- Subsonic turbulence in smoothed particle hydrodynamics and moving-mesh simulations
- Moving mesh cosmology: the hydrodynamics of galaxy formation
- A Well-Posed Kelvin-Helmholtz Instability Test and Comparison
- Computational Eulerian Hydrodynamics and Galilean Invariance
- A Validated Nonlinear Kelvin-Helmholtz Benchmark for Numerical Hydrodynamics
- Physical viscosity in smoothed particle hydrodynamics simulations of galaxy clusters
- Particle hydrodynamics with tessellation techniques