INCOMPRESSIBLE SPH METHOD FOR SIMULATING NEWTONIAN AND NON-NEWTONIAN FLOWS WITH A FREE SURFACE

By Songdong Shao, Edmond Yat-Man Lo. 2003

1,088 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/8b3fe51fab2f1e9249205244369d6538c6d4f370

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In Computational Mechanics

Citations in the corpus

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”
Incompressible SPH simulation of water entry of a free‐falling object (2009, methodology): “In SPH models, an incompressible version of the SPH was invented by Shao and Lo [13], which has been recognized as an important step forward in the modeling of free surface flows.”
Current achievements and future perspectives for projection-based particle methods with applications in ocean engineering (2016, methodology): “…now, several studies have incorporated different types of turbulence models in the context of both explicit particle methods (e.g. Issa et al. 2010; De Padova et al. 2013; Mayrhofer 2014) and the semi-implicit projection-based ones (e.g. Shao and Lo 2003; Gotoh and Sakai 2006; Leroy et al. 2015a).”
Numerical simulation of landslide impulsive waves by incompressible smoothed particle hydrodynamics (2008, methodology): “In the second approach, called incompressible-SPH (I-SPH) [14, 20, 21], unlike compressible SPH method, the pressure is directly obtained by solving a Poisson equation of pressure that satisfies incompressibility.”
A robust weakly compressible SPH method and its comparison with an incompressible SPH (2012, methodology): “For example, Shao and Lo [15] enforced the incompressibility in a somewhat similar manner to the one proposed in [14] with two main differences: first, they computed the intermediate velocity and then advected SPH particles; and second, they utilized the density variation as a source term rather tha”
State-of-the-art of classical SPH for free-surface flows (2010, methodology): “If water is being simulated, then an artificial equation of state is used (Monaghan 1994); alternatively some authors have considered incompressible formulations solving a pressurePoisson equation (Shao and Lo 2003, Gotoh et al. 2004, Shao 2005, Lee et al. 2008).”
SPH with the multiple boundary tangent method (2009, methodology): “The general form of the algorithm for incompressible SPH can be found in [18, 19].”
A new SPH-based approach to simulation of granular flows using viscous damping and stress regularisation (2017, background): “…rate-independent elasto-plasticity constitutive models have also been demonstrated to be suitable for the predictions of both failure and flow mechanisms of granular materials (Bui et al. 2008a and 2008b; Verghese et al. 2013; Carter et al. 2014; Zhang et al. 2014; Sołowski and Sloan 2015).”