Incompressible smoothed particle hydrodynamics for free-surface flows: A generalised diffusion-based algorithm for stability and validations for impulsive flows and propagating waves

By Steven J. Lind, Rui Xu, Peter K. Stansby, Benedict D. Rogers. Journal of Computational Physics, 2012

753 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/6f458b6d54623c3c3e85f006f3fb3763c4e6be6d

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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.”
A review on approaches to solving Poisson’s equation in projection-based meshless methods for modelling strongly nonlinear water waves (2016, methodology): “Koshizuka 1996; Gotoh and Sakai 2006; Khayyer and Gotoh 2010), the smooth particle hydrodynamic method (SPH) (e.g. Monaghan 1994; Shao et al. 2006; Khayyer et al. 2008; Lind et al. 2012), the finite point method (e.”
Comparative study on accuracy and conservation properties of two particle regularization schemes and proposal of an optimized particle shifting scheme in ISPH context (2017, methodology): “11 In order to control particle shifting at and in vicinity of free-surface particles, Lind et al. [2] proposed the following modification for the particle shifting displacement vector corresponding to free-surface and free-surface vicinity particles.”
Current achievements and future perspectives for projection-based particle methods with applications in ocean engineering (2016, methodology): “A generalized version of this scheme has been proposed by Lind et al. (2012), allowing extended applications to freesurface flows.”
Corrected First-Order Derivative ISPH in Water Wave Simulations (2017, methodology): “On the other hand, in order to achieve accurate results without the need of using density term (i.e. = 0), the position of particles should be shifted at each time step in a way similar to the remeshing or dynamic re-gridding, such as based on the Fick’s law (Lind et al., 2012).”
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): “This issue is circumvented in [13] by setting the coefficient to be high enough to provide effective shifting for the slow moving particles, with the consequence of it being unnecessarily high for the faster particles.”