# On the kernel and particle consistency in smoothed particle hydrodynamics

@article{Sigalotti2016OnTK, title={On the kernel and particle consistency in smoothed particle hydrodynamics}, author={Leonardo Di G. Sigalotti and Jaime Klapp and Otto Rend{\'o}n and Carlos A. Vargas and Franklin Pe{\~n}a-Polo}, journal={arXiv: Numerical Analysis}, year={2016}, pages={242-255} }

The problem of consistency of smoothed particle hydrodynamics (SPH) has demanded considerable attention in the past few years due to the ever increasing number of applications of the method in many areas of science and engineering. A loss of consistency leads to an inevitable loss of approximation accuracy. In this paper, we revisit the issue of SPH kernel and particle consistency and demonstrate that SPH has a limiting second-order convergence rate. Numerical experiments with suitably chosen… CONTINUE READING

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