In this paper we discuss the treatment of discontinuities in Smoothed Particle Hydrodynamics (SPH) simulations. In particular we discuss the difference between integral and differential representations of the fluid equations in an SPH context and how this relates to the formulation of dissipative terms for the capture of shocks and other discontinuities. This has important implications for many...

We describe and demonstrate a method for increasing the resolution locally in a Smoothed Particle Hydrodynamic (SPH) simulation, by splitting particles. We show that in simulations of self-gravitating collapse (of the sort which are presumed to occur in star formation) the method is stable, and affords great savings in computer time and memory. When applied to the standard Boss & Bodenheimer te...

We describe and demonstrate a method for increasing the resolution locally in a Smoothed Particle Hydrodynamic (SPH) simulation, by splitting particles. We show that in simulations of self-gravitating collapse (of the sort which are presumed to occur in star formation) the method is stable, and affords great savings in computer time and memory. When applied to the standard Boss & Bodenheimer te...

This paper gathers basic principles and literature suggestions on the SPH method from an engineering point of view and for multiphysic applications. This practical review is done through the presentation of a code in which these features have been developed. Applications of the method to industrial related issues are considered by starting from an existing open-source 2D SPH code, namely the SP...

We present a new radiative transfer method (SPH-M1RT) that is coupled dynamically with smoothed particle hydrodynamics (SPH). implement it in the (task-based parallel) SWIFT galaxy simulation code but can be straightforwardly implemented other SPH codes. Our moment-based simultaneously solves radiation energy and flux equations SPH, making adaptive space time. modify M1 closure relation to stab...

We calculate numerically the probability exp[ 1 λ F (E/E sph , N/N sph)] of the false vacuum decay in the massive four-dimensional −λφ 4 model from multipar-ticle initial states with fixed number of particles N and energy E greater than the height of the barrier E sph. We find that at E ∼ < 3E sph and N ∼ < 0.4N sph the decay is classically forbidden and thus is exponentially suppressed. We arg...

In this paper, we present a novel physically consistent implicit solver for the simulation of highly viscous fluids using the Smoothed Particle Hydrodynamics (SPH) formalism. Our method is the result of a theoretical and practical in-depth analysis of the most recent implicit SPH solvers for viscous materials. Based on our findings, we developed a list of requirements that are vital to produce ...