Journal
ANNUAL REVIEW OF ASTRONOMY AND ASTROPHYSICS, VOL 53
Volume 53, Issue -, Pages 325-364Publisher
ANNUAL REVIEWS
DOI: 10.1146/annurev-astro-082214-122309
Keywords
conservation laws; gas dynamics; magnetohydrodynamics; radiation; numerical simulations
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In this review, the equations of hydrodynamics, magnetohydrodynamics, and radiation hydrodynamics are presented, together with their corresponding nonideal source terms. I overview the current landscape of modern grid-based numerical techniques with an emphasis on numerical diffusion, which plays a fundamental role in stabilizing the solution but is also the main source of errors associated with these numerical techniques. I discuss in great detail the inclusion of additional important source terms, such as cooling and gravity. I also show how to modify classic operator-splitting techniques to avoid undesirable numerical errors associated with these additional source terms, in particular in the presence of highly supersonic flows. I finally present various mesh adaptation strategies that can be used to minimize these numerical errors. To conclude, I review existing astrophysical software that is publicly available to perform simulations for such astrophysical fluids.
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