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...

Further development and additional details and tests of Adaptive Smoothed Particle Hydrodynamics (ASPH), the new version of Smoothed Particle Hydrodynamics (SPH) described in Shapiro et al. (1996; Paper I) are presented. The ASPH method replaces the isotropic smoothing algorithm of standard SPH, in which interpolation is performed with spherical kernels of radius given by a scalar smoothing len...

This work is an attempt to use the standard Smoothed Particle Hydrodynamics methodology for the simulation of the complex unsteady, free-surface flow in a rotating Turgo impulse water turbine. A comparison of two different geometries was conducted. The SPH method due to its mesh-less nature is capable of capturing the flow features appearing in the turbine, without diffusion at the water/air in...

Further development and additional details and tests of Adaptive Smoothed Particle Hydrodynamics (ASPH), the new version of Smoothed Particle Hydrodynamics (SPH) described in Shapiro et al. (1996; Paper I) are presented. The ASPH method replaces the isotropic smoothing algorithm of standard SPH, in which interpolation is performed with spherical kernels of radius given by a scalar smoothing len...

We present a practical guide to Smoothed Particle Hydro-dynamics (SPH) and its application to astrophysical problems. Although remarkably robust, SPH must be used with care if the results are to be meaningful since the accuracy of SPH is sensitive to the arrangement of the particles and the form of the smoothing kernel. In particular, the initial conditions for any SPH simulation must consist o...

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 ...

This paper explores the influence of onshore structures' orientations and arrangements during a tsunami impact using numerical method smoothed particle hydrodynamics (SPH). Observations from previous events often reveal variation in damage survivability impacted similar structures. Such can be due to shielding effects other interactions that occur when wave incident occurs an urbanized location...

Realistic Fluid Animation is an inherent part of special effects in Film and Gaming Industry. These animations are created through the simulation of highly compute intensive fluid model. The computations involved in execution of fluid model emphasize the need of high performance parallel system to achieve the real time animation. This paper primarily devoted to the formalization of parallel alg...

Conservation of potential vorticity (PV) and Kelvin’s circulation theorem express two of the fundamental concepts in ideal fluid dynamics. In this note, we discuss these two concepts in the context of the Smoothed Particle Hydrodynamics (SPH) method. We show that, if interpreted in an appropriate way, one can make a statement about conservation of circulation and PV in a particle fluid model su...

Smoothed Particle Hydrodynamics (SPH) has been established as one of the major concepts for fluid animation in computer graphics. While SPH initially gained popularity for interactive free-surface scenarios, it has emerged to be a fully fledged technique for state-of-the-art fluid animation with versatile effects. Nowadays, complex scenes with millions of sampling points, oneand two-way coupled...