SPH simulations of three-dimensional non-Newtonian free surface flows

Particle-based fluids for viscous jet buckling

“…However, none of these methods in computer animation have captured viscous buckling behavior. In computational physics, Rafiee et al [20] used an incompressible version of SPH to simulate 2D jet buckling of non-Newtonian fluids, while Xu et al [21,22] extended the traditional weakly compressible SPH method to deal with 3D simulations. This paper is inspired in [21] and it improves that work in several ways: our stable SPH approximation of momentum equation does not require additional terms, artificial stress and artificial viscosity, to prevent particle clustering and unphysical behavior of free surface.…”

Free-Surface Flow Simulations with Smoothed Particle Hydrodynamics Method using High-Performance Computing

“…Since then, it has been used in several research areas, e.g. coastal engineering [3][4][5][6][7], flooding forecast [8][9][10][11], solid body transport [12][13][14][15], soil mechanics [16][17][18][19][20], sediment erosion or entrainment processes [21][22][23][24], fastmoving non-Newtonian flows [25][26][27][28][29][30][31][32][33], flows in porous media [34][35][36], solute transport [37][38][39], turbulent flows [40][41][42] and multiphase flows [43][44][45][46][47], not to mention manifold industrial applications (see, for instance [48][49][50]…”

Animação de jatos oscilantes em fluidos viscosos usando SPH em GPU

“…Como visto em Xu et al (2013b), neste modelo o tensor extra-tensão τ é descrito matematicamente por:…”

“…Independentemente da escolha do integrador temporal, para garantir a estabilidade numérica da simulação, o passo de tempo ∆t deve limitado pela condição CFL e também pelas condições das forças viscosas (Xu et al, 2013b):…”

“…• Modelo SPH viscoso: modelo um pouco mais sofisticado que combina o método proposto por Müller et al (2003) com modelo reológico de Cross (Xu et al (2013a)). …”