Self-consistent thermal regulation in circumbinary disks permits long-lived non-accretion phases that suppress binary feeding rates toward the Eddington limit while leaving optical/near-IR detectability intact.
On the Kelvin-Helmholtz instability with smooth initial conditions -- Linear theory and simulations
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abstract
The Kelvin-Helmholtz instability (KHI) is a standard test of hydrodynamic and magnetohydrodynamic (MHD) simulation codes and finds many applications in astrophysics. The classic linear theory considers a discontinuity in density and velocity at the interface of two fluids. However, for numerical simulations of the KHI such initial conditions do not yield converged results even at the linear stage of the instability. Instead, smooth profiles of velocity and density are required for convergence. This renders analytical theory to be only approximately valid and hinders quantitative comparisons between the classical theory and simulations. In this paper we derive a linear theory for the KHI with smooth profiles and illustrate code testing with the MHD code Athena. We provide the linear solution for the KHI with smooth initial conditions in three different limits: inviscid hydrodynamics, ideal MHD and Braginskii-MHD. These linear solutions are obtained numerically with the framework Psecas (Pseudo-Spectral Eigenvalue Calculator with an Automated Solver), which generates and solves numerical eigenvalue problems using an equation-parser and pseudo-spectral methods. The Athena simulations are carried out on a periodic, Cartesian domain which is useful for code testing purposes. Using Psecas and analytic theory, we outline the differences between this artificial numerical setup and the KHI on an infinite Cartesian domain and the KHI in cylindrical geometry. We discuss several astrophysical applications, such as cold flows in galaxy formation and cold fronts in galaxy cluster mergers. Psecas, and the linear solutions used for code testing, are publicly available and can be downloaded from the web.
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Braginskii-MHD simulations of sloshing cluster cores show that pressure-anisotropy limiters plus turbulent magnetic structure reduce effective viscosity far below the Spitzer value, steepening velocity spectra and dissipating a small fraction of turbulent kinetic energy.
citing papers explorer
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Dynamics and detectability of long-lived non-accretion phases for massive black hole binaries in cold, thermally regulating disks
Self-consistent thermal regulation in circumbinary disks permits long-lived non-accretion phases that suppress binary feeding rates toward the Eddington limit while leaving optical/near-IR detectability intact.
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Reduced Effective Viscosity from Anisotropic Transport and Plasma Instabilities in the Sloshing Cores of Galaxy Clusters
Braginskii-MHD simulations of sloshing cluster cores show that pressure-anisotropy limiters plus turbulent magnetic structure reduce effective viscosity far below the Spitzer value, steepening velocity spectra and dissipating a small fraction of turbulent kinetic energy.