A cosmological hydrodynamic code based on the total variation diminishing scheme

Abstract

view Abstract Citations (229) References (25) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS A Cosmological Hydrodynamic Code Based on the Total Variation Diminishing Scheme Ryu, Dongsu ; Ostriker, Jeremiah P. ; Kang, Hyesung ; Cen, Renyue Abstract An explicitly second-order finite difference code based on a total variation diminishing scheme for self-gravitating cosmological hydrodynamic systems is described. The code was developed to follow correctly the adiabatic changes of extremely supersonic preshock flows with a Mach number larger than 100 as well as very strong shocks. In calculations of the formation of a 1D Zel'dovich pancake, an energy accuracy of 1 percent is obtained for 32 cells per unit wavelength, and the accuracy reaches 0.01 percent as the number of cells approach 1024. It is shown that shocks are well resolved and separate cleanly the hot, dense, collapsed peaks from the cold, low-density, expanding voids. Publication: The Astrophysical Journal Pub Date: September 1993 DOI: 10.1086/173051 Bibcode: 1993ApJ...414....1R Keywords: Cosmology; Dark Matter; Hydrodynamic Equations; Mach Number; Shock Waves; Tvd Schemes; Entropy; Finite Difference Theory; Supersonic Flow; Thermal Energy; Astrophysics; COSMOLOGY: THEORY; HYDRODYNAMICS; METHODS: NUMERICAL; SHOCK WAVES full text sources ADS |