We describe a modified form of Smoothed Particle Hydrodynamics (SPH) in which the specific thermal energy equation is based on a compatibly differenced formalism, guaranteeing exact conservation of the total energy. We compare the errors and convergence rates of the standard and compatible SPH formalisms on analytic test problems involving shocks. We find that the new compatible formalism relia...

We present a novel boundary handling scheme for incompressible fluids based on Smoothed Particle Hydrodynamics (SPH). In combination with the predictive-corrective incompressible SPH (PCISPH) method, the boundary handling scheme allows for larger time steps compared to existing solutions. Furthermore, an adaptive time-stepping approach is proposed. The approach automatically estimates appropria...

The evolution of the stellar debris after tidal disruption due to the super massive black hole’s tidal force is difficult to solve numerically because of the large dynamical range of the problem. We developed an SPH (Smoothed Particle Hydrodynamics) TVD (Total Variation Diminishing) hybrid code in which the SPH is used to cover a widely spread debris and the TVD is used to compute the stream co...

The lack of consistence and convergence is often considered as a major drawback of smoothed particle hydrodynamics (SPH). Here, we analysis two errors introduced by typical conservative SPH approximations of the gradient of a scalar field: one (smoothing error) is due to smoothing of the gradient by an integration associated with a kernel function; the other (integration error) is due to approx...

We present the general analytic solution of a viscous gas ring around a central mass. This solution is used to test a further development of the smoothed particle hydrodynamics (SPH) algorithm, which is capable of simulating problems with physical viscosity (here: with kinematic viscosity). We discuss some SPH simulation results and conclude some fundamental properties of the algorithm. c © 199...

We present a brief introduction to Smoothed Particle Hydrodynamics (SPH), where we focus on an approach to treat the physical viscosity. Additionally we describe in detail the basic principles of our parallel implementation of the SPH method. In the second part we summarise some results of test simulations performed to achieve general features of the method, and we end discussing some astrophys...

In this paper, we present a Smoothed Particle Hydrodynamics (SPH) implementation algorithm on GPUs. To compute a force on a particle, neighboring particles have to be searched. However, implementation of a neighboring particle search on GPUs is not straightforward. We developed a method that can search for neighboring particles on GPUs, which enabled us to implement the SPH simulation entirely ...

In recent years the Smoothed Particle Hydrodynamics (SPH) approach gained popularity in modeling multiphase and free-surface flows. In many situations, due to certain reasons, interface and free-surface fragmentation occurs. As a result single SPH particle solids/droplets of one phase can appear and travel through other phases. In this paper we investigate this issue focusing on a movement of s...