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Annual Review of Astronomy and Astrophysics

Volume 53, 2015

Grid-Based Hydrodynamics in Astrophysical Fluid Flows

Abstract

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.

Keyword(s): conservation laws, gas dynamics, magnetohydrodynamics, numerical simulations, radiation
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2015-08-18
2024-04-25
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Grid-Based Hydrodynamics in Astrophysical Fluid Flows
Annual Review of Astronomy and Astrophysics 53, 325 (2015); https://doi.org/10.1146/annurev-astro-082214-122309
/content/journals/10.1146/annurev-astro-082214-122309
/content/journals/10.1146/annurev-astro-082214-122309
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