Truncation error estimates of approximate differential operators of a particle method based on the Voronoi decomposition-Reference-Cited by-同舟云学术

Truncation error estimates of approximate differential operators of a particle method based on the Voronoi decomposition

Published:2017 Issue:0 Volume:9 Page:69-72
ISSN:1883-0609
Container-title:JSIAM Letters
language:en
Short-container-title:JSIAM Letters

Author:

Imoto Yusuke¹,Tagami Daisuke²

Affiliation:

1. Tohoku Forum for Creativity, Tohoku University

2. Institute of Mathematics for Industry, Kyushu University

Publisher

The Japan Society for Industrial and Applied Mathematics

Link

https://www.jstage.jst.go.jp/article/jsiaml/9/0/9_69/_pdf

Reference4 articles.

1. 1) D. J. Price, Smoothed particle hydrodynamics and magnetohydrodynamics, J. Comput. Phys., 231 (2012), 759-794.

2. 2) S. Koshizuka and Y. Oka, Moving-particle semi-implicit method for fragmentation of incompressible fluid, Nucl. Sci. Eng., 123 (1996), 421-434.

3. 3) K. Ishijima and M. Kimura, Truncation error analysis of finite difference formulae in meshfree particle methods (in Japanese), Trans. JSIAM, 20 (2010), 165-182.

4. 4) Y. Imoto and D. Tagami, A truncation error estimate of the interpolant of a particle method based on the Voronoi decomposition, JSIAM Letters, 8 (2016), 29-32.

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