Astrophysical smooth particle hydrodynamics

By Stephan Rosswog. 2009

201 citations recorded by the source corpus.

Abstract The paper presents a detailed review of the smooth particle hydrodynamics (SPH) method with particular focus on its astrophysical applications. We start by introducing the basic ideas and concepts and thereby outline all ingredients that are necessary for a practical implementation of the method in a working SPH code. Much of SPH’s success relies on its excellent conservation properties and therefore the numerical conservation of physical invariants receives much attention throughout this review. The self-consistent derivation of the SPH equations from the Lagrangian of an ideal fluid is the common theme of the remainder of the text. We derive a modern, Newtonian SPH formulation from the Lagrangian of an ideal fluid. It accounts for changes of the local resolution lengths which result in corrective, so-called “grad-h-terms”. We extend this strategy to special relativity for which we derive the corresponding grad-h equation set. The variational approach is further applied to a general-relativistic fluid evolving in a fixed, curved background space-time. Particular care is taken to explicitly derive all relevant equations in a coherent way.

Subfields: Astronomy and Astrophysics, Computational Mechanics, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/620eff9a9a02571d083083c155f57d846e75b6f5

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Citations in the corpus

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).”
A general class of Lagrangian smoothed particle hydrodynamics methods and implications for fluid mixing problems (2012, background): “…the equations of hydrodynamics (in which Lagrangian discretized mass elements are followed; Lucy 1977; Gingold & Monaghan 1977) which has found widespread application in astrophysical simulations and a range of other fields as well (for recent reviews, see Rosswog 2009; Springel 2010; Price 2012b).”
Improving convergence in smoothed particle hydrodynamics simulations without pairing instability (2012, methodology): “1 I N T RO D U C T I O N Smoothed particle hydrodynamics (SPH) is a particle-based numerical method, pioneered by Gingold & Monaghan (1977) and Lucy (1977), for solving the equations of hydrodynamics (recent reviews include Monaghan 2005, 2012; Rosswog 2009; Springel 2010; Price 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).”
The effects of galaxy formation on the matter power spectrum: a challenge for precision cosmology (2011, background): “…PM stands for Particle Mesh and the “Tree” describes the structure in which the particles are organised for this calculation, see for example Barnes & Hut 1986; Xu 1995; Bagla 2002) and Smoothed Particle Hydrodynamics (SPH) to follow and evolve the gas particles (see Rosswog 2009 for a review).”
The electromagnetic signals of compact binary mergers (2012, methodology): “Our simulations make use of the smooth particle hydrodynamics (SPH) method, see Monaghan (2005) and Rosswog (2009) for recent reviews.”
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).”
Lyman-alpha forests cool warm dark matter (2015, methodology): “The former undergo Smoothed Particle Hydrodynamics (SPH) treatment, a Lagrangian method of solving the hydrodynamics equations ([25–27]), whereas the latter two are treated as collisionless populations of fixed-mass point particles.”
Smoothed Particle Hydrodynamics in Astrophysics (2010, background): “A few excellent reviews have discussed SPH previously (e.g.Monaghan, 1992, 2005; Dolag et al., 2008; Rosswog, 2009), hence we will concentrate primarily on recent developments and on a critical discussion of SPH’s advantagesnd disadvantages, rather than on giving a full historical account of the…”
SIMULATING THE COMMON ENVELOPE PHASE OF A RED GIANT USING SMOOTHED-PARTICLE HYDRODYNAMICS AND UNIFORM-GRID CODES (2011, methodology): “For the artificial viscosity we use the sum of a bulk viscosity and a von Neumann and Richtmyer viscosity (Rosswog 2009).”
An improved SPH scheme for cosmological simulations (2015, background): “We point out the latest reviews by Rosswog (2009), Springel (2010b), Monaghan (2012) and Price (2012a) for the basic concepts and e.g. Ritchie & Thomas (2001) for an extension to multiphase fluids and C© 2015 The Authors Published by Oxford University Press on behalf of the Royal Astronomical…”
On the astrophysical robustness of the neutron star merger r-process (2012, methodology): “To follow the hydrodynamic evolution we use the Smooth Particle Hydrodynamics (SPH) method, see Monaghan (2005) and Rosswog (2009) for recent reviews, which, due to its completely Lagrangian nature, is ideally suited to follow the ejected material.”
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).”
Shocking results without shocks: Subsonic turbulence in smoothed particle hydrodynamics and moving-mesh simulations (2011, background): “Smoothed particle hydrodynamics (SPH) is a particle-based approach to fluid dynamics which is popular in astronomy due to its geometric flexibility, automatic adaptivity, and good conservation properties (see e.g. Rosswog 2009; Springel 2010, for recent reviews).”
A DENSITY-INDEPENDENT FORMULATION OF SMOOTHED PARTICLE HYDRODYNAMICS (2012, methodology): “It was originally introduced by Lucy (1977) and Gingold & Monaghan (1977) and has been widely used in the field of the computational astrophysics (Monaghan 1992, 2005; Rosswog 2009; Springel 2010b).”
A new class of accurate, mesh-free hydrodynamic simulation methods (2014, background): “C O ] 2 5 Se p 20 14 erties.2 This has led to widespread application of SPH in many fields (for reviews see Rosswog 2009; Springel 2010; Price 2012b).”
The long-term evolution of neutron star merger remnants – I. The impact of r-process nucleosynthesis (2013, methodology): “For a general overview over the SPH method, see, for example, the recent reviews of Monaghan (2005), Rosswog (2009) and Springel (2010).”
The multimessenger picture of compact object encounters: binary mergers versus dynamical collisions (2012, methodology): “The simulations of this paper make use of the smooth particle hydrodynamics (SPH) method, see Monaghan (2005) and Rosswog (2009) for recent reviews.”
Smoothed particle hydrodynamics and magnetohydrodynamics (2010, background): “[59,64,78,92]), there remain – particularly in the astrophysical domain – some widespread misconceptions about its use, and more importantly, its fundamental basis.”