Accuracy and stability in incompressible SPH (ISPH) based on the projection method and a new approach

By Rui Xu, Peter K. Stansby, Dominique Laurence. Journal of Computational Physics, 2009

729 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/342c63cc463f1f1d005e7b32fef0d93b0dc00446

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In Computational Mechanics

Citations in the corpus

Smoothed particle hydrodynamics (SPH) for free-surface flows: past, present and future (2016, background): “A significant improvement was suggested by Xu, Stansby, and Laurence (2009), then extended by Lind et al. (2012) to free-surface flows, who introduced a particle shifting process in order to stabilize the particle motion and homogenize their distribution in space.”
Enhancement of stability and accuracy of the moving particle semi-implicit method (2011, methodology): “Moreover, in a projection-based method such as Incompressible SPH (ISPH; [62,49,32,83]) or MPS, a more accurate projection of the intermediate velocity field onto a divergence free space would be achieved if both instantaneous and accumulative density (or particle number density in MPS) errors are m”
Comparative study on accuracy and conservation properties of two particle regularization schemes and proposal of an optimized particle shifting scheme in ISPH context (2017, background): “A typical benchmark test for evaluation of particle regularization schemes is the TaylorGreen flow [2,5,24,39].”
Incompressible smoothed particle hydrodynamics (SPH) with reduced temporal noise and generalised Fickian smoothing applied to body–water slam and efficient wave–body interaction (2013, methodology): “[13] found that the method proposed in [7] suffers from instabilities for flows with a free surface.”
A robust weakly compressible SPH method and its comparison with an incompressible SPH (2012, methodology): “Recently, another novel technique referred to as particle shifting in [18–20] or artificial particle displacement in [21] has been employed to circumvent the particle clustering and associated accumulation of errors in density and pressure fields.”
Corrected First-Order Derivative ISPH in Water Wave Simulations (2017, background): “However, the tensile i tability associated with this formulation introduced tangible errors leading to the clustering of particles (Xu et al., 2009).”
Current achievements and future perspectives for projection-based particle methods with applications in ocean engineering (2016, methodology): “A relatively new particle regularization technique is the particle shifting scheme of Xu et al. (2009) which slightly shifts the particles to prevent anisotropic particle structures.”
Numerical investigation of Newtonian and non-Newtonian multiphase flows using ISPH method (2013, background): “Hence, in following works by other SPH researchers [21–27], several different remedies have been proposed to circumvent associated problems.”
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): “[31], the algorithm acts to maintain a regular distribution and prevent the extreme stretching and bunching of particles.”