Mathematical base of Difference Operator of Particle Method
Hiroshi Isshiki, Daisuke Kitazawa
TL;DR
This paper extends the difference operators used in the Moving Particle Semi-implicit method (MPS), introducing higher-order operators within the author's Discrete Differential Operators on Irregular Nodes (DDIN) framework to improve accuracy.
Contribution
It presents an extension of the Iribe-Nakaza method to higher-order difference operators within the DDIN framework for MPS.
Findings
Extension of difference operators to higher order
Improved accuracy of gradient operators in MPS
Unified framework for difference operators on irregular nodes
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).
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Taxonomy
TopicsSoil Mechanics and Vehicle Dynamics · Mechanical and Thermal Properties Analysis · Radiative Heat Transfer Studies