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SPH Methods in the Modelling of Compact Objects
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We review the current status of compact object simulations that are based on the Smooth Particle Hydrodynamics (SPH) method. The first main part of this review is dedicated to SPH as a numerical method. We begin by discussing relevant kernel approximation techniques and discuss the performance of different kernel functions. Subsequently, we review a number of different SPH formulations of Newtonian, special- and general relativistic ideal fluid dynamics. We particularly point out recent developments that increase the accuracy of SPH with respect to commonly used techniques. The second main part of the review is dedicated to the application of SPH in compact object simulations. We discuss encounters between two white dwarfs, between two neutron stars and between a neutron star and a stellar-mass black hole. For each type of system, the main focus is on the more common, gravitational wave-driven binary mergers, but we also discuss dynamical collisions as they occur in dense stellar systems such as cores of globular clusters.
Forward citations
Cited by 2 Pith papers
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On the boundary condition and related instability in the Smoothed Particle Hydrodynamics
Boundary condition handling, not just kernel choice, largely determines whether SPH simulations of Burgers' equation stay stable, and particles can cross through each other near boundaries when smoothing length far ex...
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SPH methods in the modelling of compact objects
An updated expert review of Newtonian and general-relativistic SPH for compact-object mergers, arguing that modern SPH variants with better kernels, steered dissipation and reproducing gradients match grid-based codes...
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