Smoothed Particle Hydrodynamics (SPH) is widely used for astrophysical applications, in particular problems of self-gravitational hydrodynamics. However, critics have argued that inherent accuracy problems with the method can be identified, in particular when it comes to describing shocks and dynamical instabilities. Regularized Smoothed Particle Hydrodynamics (RSPH) has previously been propose...

Lagrangian smoothed particle hydrodynamics (SPH) is a well-established approach to model fluids in astrophysical problems, thanks to its geometric flexibility and ability to automatically adjust the spatial resolution to the clumping of matter. However, a number of recent studies have emphasized inaccuracies of SPH in the treatment of fluid instabilities. The origin of these numerical problems ...

Particle methods play an important role in the study of a wide variety of astrophysical fluid dynamics problems. The different methods currently in use are all variants of the socalled Smoothed Particle Hydrodynamics (SPH) scheme introduced by Lucy and Gingold & Monaghan more than twenty years ago. This paper presents a complete introduction to SPH in its modern form, and discusses some of the ...

The smoothed particle hydrodynamics (SPH) method is a useful numerical tool to study a variety of astrophysical and planetlogical problems. However, it turned out that the standard SPH algorithm has problems in dealing with hydrodynamical instabilities. This problem is due to the assumption that the local density distribution is differentiable. In order to solve this problem, a new SPH formulat...

Smoothed Particle Hydrodynamics SPH is a particle method to sim ulate compressible uids First we present a brief introduction to SPH where we focus on an approach to treat the physical viscosity Then we describe in detail the basic principles of our parallel implementation of the SPH method The e ciency of the code on Cray T E and IBM SP is discussed In the last part we present a short introduc...

We present a particle method for the simulation of three dimensional compressible hydrodynamics based on a hybrid Particle-Mesh discretization of the governing equations. The method is rooted on the regularization of particle locations as in remeshed Smoothed Particle Hydrodynamics (rSPH). The rSPH method was recently introduced to remedy problems associated with the distortion of computational...

Based on the thermodynamic theory, the dependence of sublimation energy of metal on temperature and pressure is discussed, and the results indicate that the sublimation energy decreases linearly with the increase of temperature and pressure. Combined with this result, the blow-off impulse of aluminum induced by pulsed X-ray is simulated by smoothed particle hydrodynamics (SPH) method. The numer...

I discuss the key features of Smoothed Particle Hydrodynamics (SPH) as a numerical method — in particular the key differences between SPH and more standard grid based approaches — that are important to the practitioner. These include the exact treatment of advection, the absence of intrinsic dissipation, exact conservation and more subtle properties that arise from its Hamiltonian formulation s...