Smoothed Particle Hydrodynamics: A Meshfree Particle Method

By Guirong Liu, Moubin Liu. 2003

2,283 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/dc7f6e1001fac7d59b0241c738e04e9b4b02f049

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Citations in the corpus

Smoothed particle hydrodynamics (SPH) for free-surface flows: past, present and future (2016, background): “A few specialized SPH books have also been published, such as those by Liu and Liu (2003) and Violeau (2012).”
Improved SPH methods for simulating free surface flows of viscous fluids (2009, methodology): “Following the work of Chen and Beraun [6], Liu et al. [26] proposed a set of correction formulas for both the SPH kernel function and the derivatives of the SPH kernel function, which they called finite particle method.”
Truncation error in mesh‐free particle methods (2006, unknown): “Comprehensive reviews of the method are available in articles by Monaghan [3, 4, 5], Randles and Liber-sky [6] and Vignjevic [7], and the texts by Li and W. K. Liu [8] and G. R. Liu and M. B. Liu [9].”
A computational library for multiscale modeling of material failure (2013, methodology): “Moreover, PERMIX has a full interface to the LAMMPS Library that includes Peridynamics [121,122,99] and the SPH method [56,73] in addition to its comprehensive MD library.”
A smoothed particle hydrodynamics approach for numerical simulation of nano-fluid flows (2018, methodology): “Interested readers for more details are referred to [53] for different correction schemes and to [28] for discretization schemes used in”
A DENSITY-INDEPENDENT FORMULATION OF SMOOTHED PARTICLE HYDRODYNAMICS (2012, background): “It is becoming popular in hydrodynamical simulations in engineering (e.g., Liu & Liu 2003).”
SPH with the multiple boundary tangent method (2009, background): “one discrete physical object, or it may represent a macroscopic part of the continuum [1].”
A weakly compressible MPS method for modeling of open‐boundary free‐surface flow (2009, methodology): “In CFD problems, each particle possesses a set of field variables such as mass and momentum, and the equation of the physical system is expressed by mass, momentum and energy conservation [2].”
Meshless method based on the local weak-forms for steady-state heat conduction problems (2008, unknown): “sion and underwater shock problems [1].”
Assessment of smoothed point interpolation methods for elastic mechanics (2010, methodology): “Other meshfree methods include the smoothed particle hydrodynamics method [12], the diffuse element method [13], the meshless local Petrov–Galerkin method [14], the finite point method [15], the boundary node method [16], and so on.”
Slope stability analysis using smoothed particle hydrodynamics (SPH) method (2015, methodology): “It is also possible to approximate the spatial gradient of a physical quantity in a similar way, using the spatial derivative of the smoothing function (Liu and Liu, 2003).”
Upper bound solution to elasticity problems: A unique property of the linearly conforming point interpolation method (LC‐PIM) (2008, methodology): “Typical methods include the smooth particle hydrodynamic method [1, 2], the diffuse element”
Comparison study of MPM and SPH in modeling hypervelocity impact problems (2009, background): “Furthermore, they may lead to some problems in simulating hydrodynamic problems [7], such as causing negative density and negative energy that can result in a breakdown of the entire computation.”