Discretization of spatial derivatives is an important issue in meshfree methods especially when the derivative terms contain non-linear coefficients. In this paper, various methods used for discretization of second-order spatial derivatives are investigated in the context of Smoothed Particle Hydrodynamics. Three popular forms (i.e. ”double summation”, ”second-order kernel derivation”, and ”dif...

This paper presents a new Updated Reference Lagrangian Smooth Particle Hydrodynamics (SPH) algorithm for the analysis of large deformation isothermal elasticity and elasto-plasticity. Taking as point departure Total setting considering referential configuration an intermediate process, equation conservation linear momentum three geometric laws (for gradient, its cofactor determinant) are re-wri...

Johnson-Holmquist constitutive model for brittle materials, coupled with a crack softening model, is used to describe the deviatoric and tensile crack propagation beneath impact crater in granite. Model constants are determined either directly from static uniaxial strain loading experiments, or indirectly from numerical adjustment. Constants are put into AUTODYN-2D from Century Dynamics to simu...

It has been proposed that low surface brightness (LSB) galaxies may form in low density regions as a result of certain statistical properties of the density eld (Hooman et al. 1992). This idea is investigated with direct Hydrodynamical simulations, using a combined Smooth Particle Hydrodynamics (SPH) and gravitational tree method. It is found that although more mass is collected around a densit...

The reaction of fluid or gas flowing around an obstacle is a common engineering problem. Computer simulations are often used to measure and visualize the physical processes involved. In this report, we will discuss a parallel implementation of a simulation using the Smooth Particle Hydrodynamics (SPH) approach to fluid flow. We will discuss the design decisions made during development, problems...

We investigate the impact between the gas stream from the inner Lagrangian point and the accretion disk in interacting binaries, using three dimensional Smooth Particle Hydrodynamics simulations. We find that a significant fraction of the stream material can ricochet off the disk edge and overflow towards smaller radii, and that this generates pronounced non-axisymmetric structure in the absorp...

Angular momentum loss via the emission of gravitational waves must eventually drive compact binaries containing black holes and/or neutron stars to coalesce. The resulting events are primary candidate sources for detectors such as VIRGO and LIGO. We present calculations of gravitational radiation waveforms and luminosities for the coalescence of a black hole-neutron star binary, performed in th...