Mathematical base of Difference Operator of Particle Method
Numerical Analysis
2017-06-13 v2
Abstract
Mathematical base of difference operators in Moving Particle Semi-implicit method (MPS) are not given sufficiently in contrast to Smooth Particle Hydrodynamics method (SPH). Iribe and Nakaza proposed a method to improve the accuracy of the gradient operator, and Khayyer and Gotoh gave an ingenuity also for gradient operator too. An extension to higher order difference operators of Iribe-Nakaza method is given in this paper. The proposed method is a special case of the author's method called Discrete Differential Operators on Irregular Nodes (DDIN).
Cite
@article{arxiv.1706.02799,
title = {Mathematical base of Difference Operator of Particle Method},
author = {Hiroshi Isshiki and Daisuke Kitazawa},
journal= {arXiv preprint arXiv:1706.02799},
year = {2017}
}