Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method

By Eun-Sug Lee, C. Moulinec, Rui Xu, Damien Violeau, Dominique Laurence, Peter K. Stansby. Journal of Computational Physics, 2008

642 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/618d30ff57198ecd77ad697b1face3e11141adaa

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Citations in the corpus

Application of weakly compressible and truly incompressible SPH to 3-D water collapse in waterworks (2010, methodology): “The free surface does not require any particular condition in WCSPH, while pressure must be set to zero for free-surface particles in ISPH (Lee et al. 2008).”
A review on approaches to solving Poisson’s equation in projection-based meshless methods for modelling strongly nonlinear water waves (2016, background): “(2016) showed it is divergent for severe randomness of particle distribution if smoothing length is proportional to the particle distance; Schwaiger (2008) and Lind et al. (2012) showed a very large error near the boundaries; Schwaiger (2008) showed it converged at a rate less than first order when ”
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): “[7,31]), a viscous-diffusion condition (e.”
Least squares moving particle semi-implicit method (2014, background): “Various proposal to solve this problem have been sought, for instance, alternative or additive conditions such as usage of the center of gravity of the particles [32], gradient of the particle number density [40], and divergence of particle position [52] are introduced; however, incorrect judgements”
Numerical investigation of Newtonian and non-Newtonian multiphase flows using ISPH method (2013, background): “There are several recent works which have aimed to compare ISPH against WCSPH for free surface and bluff body problems [15–19].”
Current achievements and future perspectives for projection-based particle methods with applications in ocean engineering (2016, methodology): “…symmetric repulsive pressure gradient model frequently applied in ISPH simulations because of its superior stability features (e.g. Shao and Lo 2003; Khayyer et al. 2008; Lee et al. 2008) is expressed as follows: 〈∇ p ρ 〉 i = ∑ j =i m j ( p j ρ2j + pi ρ2i ) ∇wi j (14) As will be discussed in Sect.”
Permeable and non‐reflecting boundary conditions in SPH (2009, methodology): “[17] simulated flow over a square cylinder using SPH, with periodic boundaries upstream and downstream, and a streamwise body force to overcome drag.”
Incompressible smoothed particle hydrodynamics for free-surface flows: A generalised diffusion-based algorithm for stability and validations for impulsive flows and propagating waves (2012, background): “[15], referred to as WCSPH and ISPH respectively.”
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”
A robust weakly compressible SPH method and its comparison with an incompressible SPH (2012, methodology): “Although this treatment might be a remedy for void formations as also reported in [23,24], it increases the computational cost significantly.”