A cosmological hydrodynamic code based on the total variation diminishing scheme

Details A cosmological hydrodynamic code based on the total variation diminishing scheme A cosmological hydrodynamic code based on the total variation diminishing scheme

Sep 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...414....1r&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 414, no. 1, p. 1-19.

Mathematics

Logic

181

Cosmology, Dark Matter, Hydrodynamic Equations, Mach Number, Shock Waves, Tvd Schemes, Entropy, Finite Difference Theory, Supersonic Flow, Thermal Energy

Scientific paper

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.

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