Astrophysical Smooth Particle Hydrodynamics

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 explicitely derive all relevant equations in a coherent way.

79 pages, accepted for publication in New Astronomy Reviews

References in corpus (18)

• Chemical enrichment in cosmological, smoothed particle hydrodynamics simulations
• Modelling discontinuities and Kelvin-Helmholtz instabilities in SPH
• Numerical simulations of impacts involving porous bodies: I. Implementing sub-resolution porosity in a 3D SPH Hydrocode
• MAGMA: a 3D, Lagrangian magnetohydrodynamics code for merger applications
• TRAPHIC - Radiative Transfer for Smoothed Particle Hydrodynamics Simulations
• Simulations of cosmic ray feedback by AGN in galaxy clusters
• Thermal conduction in cosmological SPH simulations
• Chemical evolution of galaxies. I. A composition-dependent SPH model for chemical evolution and cooling
• iVINE - Ionization in the parallel tree/SPH code VINE: First results on the observed age-spread around O-stars
• Atypical Thermonuclear Supernovae from Tidally Crushed White Dwarfs
• Chemical mixing in smoothed particle hydrodynamics simulations
• SPHRAY: A Smoothed Particle Hydrodynamics Ray Tracer for Radiative Transfer
• VINE -- A numerical code for simulating astrophysical systems using particles I: Description of the physics and the numerical methods
• Collisions between equal sized ice grain agglomerates
• Simulating Black Hole White Dwarf Encounters
• Radiation-induced large-scale structure during the reionization epoch: the autocorrelation function
• Mass transfer dynamics in double degenerate binary systems
• Introducing a Hybrid Method of Radiative Transfer in Smoothed Particle Hydrodynamics