![]() Comput Fluids 179:334–355Ĭanelas Ricardo B, Domínguez Jose M, Crespo Alejandro JC, Gómez-Gesteira Moncho, Ferreira Rui ML (2015) A smooth particle hydrodynamics discretization for the modelling of free surface flows and rigid body dynamics. Meringolo Domenico D, Marrone Salvatore, Colagrossi Andrea, Liu Yong (2019) A dynamic \(\delta \)-SPH model: how to get rid of diffusive parameter tuning. Green Mashy D, Vacondio Renato, Peiró Joaquim (2019) A smoothed particle hydrodynamics numerical scheme with a consistent diffusion term for the continuity equation. ![]() Comput Phys Commun 180(6):861–872Ĭercos-Pita JL, Dalrymple RA, Herault A (2016) Diffusive terms for the conservation of mass equation in SPH. Molteni Diego, Colagrossi Andrea (2009) A simple procedure to improve the pressure evaluation in hydrodynamic context using the SPH. Math Models Methods Appl Sci 9(02):161–209įerrari Angela, Dumbser Michael, Toro Eleuterio F, Armanini Aronne (2009) A new 3D parallel SPH scheme for free surface flows. Vila JP (1999) On particle weighted methods and smooth particle hydrodynamics. Monaghan Joseph J, Gingold Robert A (1983) Shock simulation by the particle method SPH. ![]() J Comput Phys 231(4):1499–1523Īndrea Colagrossi B, Bouscasse Matteo Antuono, Marrone Salvatore (2012) Particle packing algorithm for SPH schemes. Lind Steven J, Rui Xu, Stansby Peter K, Rogers Benedict D (2012) Incompressible smoothed particle hydrodynamics for free-surface flows: a generalised diffusion-based algorithm for stability and validations for impulsive flows and propagating waves. Nestor Ruairi M, Basa Mihai, Lastiwka Martin, Quinlan Nathan J (2009) Extension of the finite volume particle method to viscous flow. Rep Prog Phys 68(8):1703Īntuono Matteo, Colagrossi Andrea, Marrone Salvatore, Molteni Diego (2010) Free-surface flows solved by means of SPH schemes with numerical diffusive terms. Monaghan Joe J (2005) Smoothed particle hydrodynamics. Lucy Leon B (1977) A numerical approach to the testing of the fission hypothesis. Gingold Robert A, Monaghan Joseph J (1977) Smoothed particle hydrodynamics: theory and application to non-spherical stars. The proposed correction is noted to reduce the pressure oscillations as well as density gradients across the fluid–structure interface significantly, increase overall stability of the scheme and as a result, assist the rigid body to achieve steady motion regardless of the release position. A scaling correction to the free parameter in \(\delta \)-SPH formulation is proposed. The \(\delta \)-SPH formulation is observed to display increased pressure oscillations for higher speeds of sound resulting in loss of equilibrium. Simulations with and without numerical density diffusion are compared for different numerical speeds of sound in weakly compressible SPH (WCSPH) framework. This study focuses on the dependence of lateral pressure gradient evolution on numerical speed of sound and density diffusion for a neutrally buoyant circular cylinder in plane Poiseuille flow. A commonly used approach is to introduce numerical diffusion inside the continuity equation for a smoother pressure field creating the popular \(\delta \)-SPH variant. Smoothed particle hydrodynamics (SPH) in its standard form is known to exhibit spurious oscillations in the pressure field. ![]() Migration pattern of a neutrally buoyant object is primarily controlled by the lateral pressure gradient displaying high sensitivity to pressure disturbances in the flow field.
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