Enhancement of stability and accuracy of the moving particle semi-implicit method

By Abbas Khayyer, Hitoshi Gotoh. Journal of Computational Physics, 2011

430 citations recorded by the source corpus.

Subfields: Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/006b66c9a07575e08932c5308cb28b2ad61ad77f

How researchers see this paper

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In Computational Mechanics

1. Abbas Khayyer
2. Hitoshi Gotoh
3. Q. Ma
4. Seiichi Koshizuka
5. Yan Zhou
6. S. Yan
7. T. Tamai
8. Michael Hillman

Citations in the corpus

• A review on approaches to solving Poisson’s equation in projection-based meshless methods for modelling strongly nonlinear water waves (2016, background): “Actually, a large body of literature has provided abundant evidence that the ISPH (e.g. Lo and Shao 2002; Lind et al. 2012) and MPS (e.g. Khayyer and Gotoh 2010, 2011, 2012, 2013) based on the schemes are successful in many applications.”
• Current achievements and future perspectives for projection-based particle methods with applications in ocean engineering (2016, methodology): “The ECS (error compensating source) scheme proposed by Khayyer and Gotoh (2011) is written in the following form: 〈 ∇2 pk+1 〉 i = ρ n0 t ( Dn Dt )∗ i + ΛECS (7) ΛECS = ρ t { α n0 ( Dn Dt )k i + β t nki − n0 n0 } ; α = ∣∣∣∣∣ nki − n0 n0 ∣∣∣∣∣ ; β = ∣∣∣∣∣ t n0 ( Dn Dt )k i ∣∣∣∣∣ Accordingly, the…”
• 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): “In order to minimize projection-related errors the ECS (Error Compensating Source) scheme [16-19] is incorporated, resulting in a modified PPE expressed as follows:”
• A short note on Dynamic Stabilization of Moving Particle Semi-implicit method (2013, methodology): “Detailed descriptions of other differential operators of standard and improved MPS methods can be referred to [1, 8, 12].”
• Meshfree Methods: Progress Made after 20 Years (2017, positive): “More recently, several stability enhancements have been proposed for this method (Ataie-Ashtiani and Farhadi 2006; Khayyer and Gotoh 2010, 2011; Kondo and Koshizuka 2011).”
• Least squares moving particle semi-implicit method (2014, methodology): “For instance, Khayyer–Gotoh gradient operator anti-symmetrization [42], Khayyer–Gotoh divergence operator correction [43], Khayyer–Gotoh Laplace operator correction [44], Khayyer– Gotoh gradient operator correction [45], and Suzuki gradient operator correction [39,91] are proposed.”
• Corrected First-Order Derivative ISPH in Water Wave Simulations (2017, methodology): “These include well-known second-order derivative correction schemes as proposed by Schwaiger (2008), Fatehi and Manzari (2011), Khayyer and Gotoh (2011) and Zheng et al. (2014).”