Modeling incompressible flows using a finite particle method

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Improved SPH methods for simulating free surface flows of viscous fluids (2009, methodology): “[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.”
A new class of accurate, mesh-free hydrodynamic simulation methods (2014, methodology): “…how matrix and least-squares methods can be used to define consistent, higher-order gradient operators, and renormalization schemes can be used to eliminate the zeroth-order errors of methods like SPH (see e.g. Dilts 1999; Oñate et al. 1996; Kuhnert 2003; Tiwari & Kuhnert 2003; Liu et al. 2005).”
Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments (2010, unknown): “reconstructing a new smoothing function [56, 57].”