Regular or random: a discussion on SPH initial particle distribution
Document typeConference report
Rights accessOpen Access
Smoothed Particle Hydrodynamics (SPH) has been used to model a variety of objects and for a number of applications in engineering and science. These have ranged from astrophysicstoﬂuidandsolidmechanicsproblems. Muchresearchhasbeendedicatedtoforming a better understanding of the SPH method. As a consequence, new numerical techniques have been developed in order to overcome some of its diﬃculties and limitations. Nonetheless, there is still a gap in information concerning the impact of the initial particle distribution on the eﬀectiveness of the SPH method. With this in mind, a review of existing recommendations for SPH initial conﬁgurations has been conducted in this paper. In addition to this, a numerical exampleispresentedwhichisbasedontheclassical2-Dliddrivencavityproblem,whereinthe upperboundaryexertsahorizontalshearforceontheﬂuidinsidethecavity. Thevelocityofthe lid is v = 10−3 m/s and the cavity is square with length l = 1x10−3 m. The ﬂuid was modelled with a density ρ = 1000 kg/m3, a viscosity µ = 10−3 kg/ms) (Re = 1). These parameters were held constant for all consequent comparisons. The number of particles is varied from (20 × 20) to (80 × 80). The initial distribution is modelled in three diﬀerent ways: (i) regular, (ii) pseudo-random (with a 30% random deviation from the regular grid) and (iii) fully random. Theeﬀectivenessofeachinitialparticledistributionisassessedaccordingtotheﬁeldvelocities and horizontal and vertical centreline velocity proﬁles. The impact of the initial particle distribution is highlighted and compared against a reference CFD result, and recommendations and conclusions are drawn for the SPH method.
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