Smoothed Particle Hydrodynamics in Astrophysics

By Volker Springel. 2010

369 citations recorded by the source corpus.

This review discusses smoothed particle hydrodynamics (SPH) in the astrophysical context, with a focus on inviscid gas dynamics. The particle-based SPH technique allows an intuitive and simple formulation of hydrodynamics that has excellent conservation properties and can be coupled to self-gravity with high accuracy. The Lagrangian character of SPH allows it to automatically adjust its resolution to the clumping of matter, a property that makes the scheme ideal for many application areas in astrophysics, where often a large dynamic range in density is encountered. We discuss the derivation of the basic SPH equations in their modern formulation, and give an overview about extensions of SPH developed to treat physics such as radiative transfer, thermal conduction, relativistic dynamics, or magnetic fields. We also briefly describe some of the most important applications areas of SPH in astrophysical research. Finally, we provide a critical discussion of the accuracy of SPH for different hydrodynamical prob...

Subfields: Aerospace Engineering, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/dead86a4c6b86e30ea628e02ecd6e46ee6c6d50d

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Citations in the corpus

Physical Processes in the Interstellar Medium (2014, background): “ZEUS is a Eulerian grid code that solves the equations of magnetohydrodynamics (Stone & Norman, 1992a,b), while SPH follows a particle-based approach (Benz, 1990; Springel, 2010).”
Physical Models of Galaxy Formation in a Cosmological Framework (2014, methodology): “2.2.1 Lagrangian Methods In galaxy formation, historically the most popular Lagrangian method is Smoothed Particle Hydrodynamics (SPH; see reviews by Monaghan 1992, Springel 2010b).”
SIMULATIONS ON A MOVING MESH: THE CLUSTERED FORMATION OF POPULATION III PROTOSTARS (2011, methodology): “To address these issues, we here report on a series of hydrodynamical simulations performed with the quasi-Lagrangian moving mesh code AREPO (Springel 2010a).”
Submillimetre galaxies in a hierarchical universe: number counts, redshift distribution, and implications for the IMF (2012, methodology): “…the results of cosmological simulations performed using GADGET2 can differ significantly from those performed with the more accurate moving-mesh code AREPO (Springel 2010b) even when the physics included in the codes is identical (Torrey et al. 2011; Vogelsberger et al. 2011; Kereš et al. 2012).”
Common envelope evolution: where we stand and how we can move forward (2012, background): “For further discussion of the practical strengths and weaknesses of SPH see, e.g., Price (2012); for more formal reviews see, e.g., Rosswog (2009) and Springel (2010).”
Moving mesh cosmology: the hydrodynamics of galaxy formation (2011, methodology): “This is in agreement with previous studies (e.g. Agertz et al. 2007; Springel 2010b) indicating fundamental limitations of the SPH method in its widely used form.”
A new class of accurate, mesh-free hydrodynamic simulation methods (2014, methodology): “However, as pointed out in Springel (2010), comparatively little attention has been paid to difficulties faced by stationary-grid codes in this regime.”
Implementation of feedback in smoothed particle hydrodynamics: towards concordance of methods (2012, methodology): “Cosmological simulations have been one of the most powerful tool for investigating the formation and evolution of galaxies (see Bertschinger 1998; Springel 2010, for review).”
Neutrino-driven winds from neutron star merger remnants (2014, methodology): “For overviews over the SPH method, the interested reader is referred to recent reviews (Monaghan 2005; Rosswog 2009, 2014a,b; Springel 2010; Price 2012).”
Phantom: A Smoothed Particle Hydrodynamics and Magnetohydrodynamics Code for Astrophysics (2017, methodology): “Phantom is based on the Smoothed Particle Hydrodynamics (SPH) technique, invented by Lucy (1977) and Gingold & Monaghan (1977) and the subject of numerous reviews (Benz, 1990; Monaghan, 1992, 2005, 2012; Rosswog, 2009; Springel, 2010; Price, 2012a).”
A DENSITY-INDEPENDENT FORMULATION OF SMOOTHED PARTICLE HYDRODYNAMICS (2012, methodology): “Similar test has been used in Heß & Springel (2010).”
Improving convergence in smoothed particle hydrodynamics simulations without pairing instability (2012, methodology): “This type of noise is a well-known issue with multidimensional SPH simulations of shocks (e.g. Springel 2010; Price 2012).”
Moving mesh cosmology: numerical techniques and global statistics (2011, methodology): “…MNRAS 425, 3024–3057 Monthly Notices of the Royal Astronomical Society C© 2012 RAS D ow nloaded from https://academ ic.oup.com /m nras/article-abstract/425/4/3024/1079965 by guest on 15 M arch 2020 in a comparison of galaxy–wind interactions in SPH and the VPH technique (Heß & Springel 2010).”
Gasoline2: a modern smoothed particle hydrodynamics code (2017, methodology): “A key choice was to evolve this problem using a glass in three-dimensions, where most others (Springel 2010b; Kawata et al. 2013; Hopkins 2015) evolve the problem in two.”
The long-term evolution of neutron star merger remnants { II. Radioactively powered transients (2013, methodology): “For reviews of the SPH method, we refer to Monaghan (2005), Rosswog (2009) and Springel (2010).”
An improved SPH scheme for cosmological simulations (2015, background): “Connecting a Lagrangian moving-mesh with grid-based solvers (Springel 2010a) or mesh-free approaches (Hopkins 2015; Hopkins & Raives 2015) represent more advanced approaches.”
A general class of Lagrangian smoothed particle hydrodynamics methods and implications for fluid mixing problems (2012, methodology): “Bauer & Springel (2012) present a detailed study of the properties of idealized driven isothermal turbulence in SPH – specifically using GADGET-3 with the density-entropy formulation – as compared to moving mesh and grid methods (in the code AREPO; Springel 2010).”