A higher order Laplacian model for enhancement and stabilization of pressure calculation by the MPS method

By Abbas Khayyer, Hitoshi Gotoh. 2010

268 citations recorded by the source corpus.

Subfields: Computational Mechanics, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/6d7b2ccefc903d2dff573ca47d435e22e67f4c59

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

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

In Materials Chemistry

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

In Mechanics of Materials

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

Citations in the corpus

• Meshfree Methods: Progress Made after 20 Years (2017, unknown): “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.”
• Enhancement of stability and accuracy of the moving particle semi-implicit method (2011, methodology): “Gotoh [21] provides a concise review on the current state-of-the-art of particle methods and highlights the key issues for enhancements and practical applications of these relatively new computational methods.”
• A review on approaches to solving Poisson’s equation in projection-based meshless methods for modelling strongly nonlinear water waves (2016, methodology): “…have been developed and reported in literature, such as the moving particle semi-implicit method (MPS) (e.g. 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),…”
• Current achievements and future perspectives for projection-based particle methods with applications in ocean engineering (2016, methodology): “4) by HS (higher order source; Khayyer and Gotoh 2009a) and HL (higher order Laplacian; Khayyer and Gotoh 2010b, 2012) schemes are conducted as follows: ( Dn Dt )∗ i = ∑ j =i ( ∂wi j ∂ri j ) r i j · u∗i j∣∣r i j ∣∣ (5) 〈 ∇2 pk+1 〉 i = 1 n0 ∑ j =i { ∂pi j ∂ri j ∂wi j ∂ri j + pi j ( ∂2wi j ∂r2i j +…”