An incompressible multi-phase SPH method

By Xiangyu Y. Hu, Nikolaus A. Adams. Journal of Computational Physics, 2007

541 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/426a2a151fdb311747a7afa143dfa68d0d7e4cec

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In Computational Mechanics

Citations in the corpus

A robust weakly compressible SPH method and its comparison with an incompressible SPH (2012, background): “Hu and Adams [17] have pointed out the density invariant ISPH algorithm leads to large density variations, thereby producing less accurate pressure field.”
Smoothed particle hydrodynamics (SPH) for free-surface flows: past, present and future (2016, background): “Variants of ISPH were proposed by Shao (2006) and Hu and Adams (2007), and applications to ocean engineering were published by Khayyer, Gotoh and Shah (2009) and Khayyer and Gotoh (2009).”
Corrected First-Order Derivative ISPH in Water Wave Simulations (2017, methodology): “As indicated by Hu and Adams (2007), Eqs.”
Incompressible smoothed particle hydrodynamics for free-surface flows: A generalised diffusion-based algorithm for stability and validations for impulsive flows and propagating waves (2012, methodology): “The method of Hu and Adams [12] is stable and accurate but more time consuming than the basic projection method.”
Current achievements and future perspectives for projection-based particle methods with applications in ocean engineering (2016, unknown): “…corresponding to accuracy enhancement in the context of projection-based particle methods, we can mention the multiphase projection formulation of Hu and Adams (2007), in which both the zerodensity-variation and velocity-divergence-free constraints of the incompressibility condition were…”
Incompressible smoothed particle hydrodynamics (SPH) with reduced temporal noise and generalised Fickian smoothing applied to body–water slam and efficient wave–body interaction (2013, background): “Hu and Adams [12] proposed an algorithm whereby density invariance and a divergence-free velocity field are both enforced, necessitating the solution of two Poisson equations at each time step.”
Predictive-corrective incompressible SPH (2009, background): “…the intermediate velocity field [Cummins and Rudman 1999], the resulting variation in particle density [Shao 2006], or both [J. Liu and Oka 2005; Hu and Adams 2007; Losasso et al. 2008] are projected onto a divergence-free space to satisfy incompressibility through a pressure Poisson equation.”
Numerical investigation of Newtonian and non-Newtonian multiphase flows using ISPH method (2013, background): “[23,36] have reported the ISPH simulation of multiphase flows.”
An Hamiltonian interface SPH formulation for multi-fluid and free surface flows (2009, methodology): “To overcome this difficulty, a different approach is used by Hu and Adams [2] who evaluate the density field through hqiðxiÞ ¼ Dmi X j WjðxiÞ ð20Þ or introducing a n-term hqiðxiÞ ¼ Dmini; ni ¼ X j WjðxiÞ ð21Þ This formula is able to reproduce density discontinuities inside the domain X.”
Application of weakly compressible and truly incompressible SPH to 3-D water collapse in waterworks (2010, background): “Violeau and Issa (2007) for turbulence; see Hu and Adams (2007) for surface tension).”