Corrected Incompressible SPH method for accurate water-surface tracking in breaking waves

By Abbas Khayyer, Hitoshi Gotoh, Songdong Shao. 2008

313 citations recorded by the source corpus.

Subfields: Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/7f58543779b23a8e79670d796a83698866bb17b8

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In Computational Mechanics

1. Abbas Khayyer
2. Hitoshi Gotoh
3. Q. Ma
4. Yan Zhou
5. S. Yan
6. Yuma Shimizu
7. Songdong Shao
8. Xing Zheng

Citations in the corpus

• Breaking Waves: Review of Characteristic Relationships (2013, methodology): “Geometric wave breaking parameters [Khayyer et al., 2008].”
• 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.”
• Current achievements and future perspectives for projection-based particle methods with applications in ocean engineering (2016, background): “…differential operator models have been proposed for discretization of source term and Laplacian of PPE as well as corrective terms to restore consistency of approximations (e.g. Khayyer and Gotoh 2011; Ikari et al. 2015a) and momentum conservation (e.g.Khayyer et al. 2008;Khayyer andGotoh2008).”
• 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): “These gradient models do not provide anti-symmetric pressure inter-particle forces and thus, do not guarantee local, and global momentum conservation [21,22].”
• Enhancement of stability and accuracy of the moving particle semi-implicit method (2011, methodology): “A distinctive shortcoming of the above equation is related to non-exact conservation of momentum as the resulting interparticle pressure forces are not anti-symmetric (equal in magnitude, opposite in direction) [34,40].”
• Corrected First-Order Derivative ISPH in Water Wave Simulations (2017, background): “(25), Khayyer et al. (2008) proposed a corrected kernel formulation of the pressure gradient from Bonet and Lok (1999) as follows N j ijij j ji WLpp mp 1 , 00 , )( 1 (26) 1 1 ,,, )(”
• ENHANCED PREDICTIONS OF WAVE IMPACT PRESSURE BY IMPROVED INCOMPRESSIBLE SPH METHODS (2009, methodology): “Both ISPH and CISPH results are characterized by pressure noises resulting in indistinguishable pressure contours.”
• Improvement of stability in moving particle semi‐implicit method (2011, unknown): “[18] for conservation of angular momentum.”