Y. Ghaffari Motlagh
An implicit high-order material point method
Ghaffari Motlagh, Y.; Coombs, W.M.
Authors
Professor William Coombs w.m.coombs@durham.ac.uk
Professor
Contributors
A. Rohe
Editor
K. Soga
Editor
H. Teunissen
Editor
B. Z. Coelho
Editor
Abstract
The material point method (MPM) is a version of the particle-in-cell (PIC) which has substantial advantages over pure Lagrangian or Eulerian methods in numerical simulations of problems involving large deformations. The MPM helps to avoid mesh distortion and tangling problems related to Lagrangian methods and as well as the advection errors associated with Eulerian methods. Despite the MPM being promoted for its ability to solve large deformation problems the method suffers from instabilities when material points cross between elements. These instabilities are due to the lack of smoothness of the grid basis functions used for mapping information between the material points and the background grid. In this paper a novel high-order MPM is developed to eliminate the cell-crossing instability and improve the accuracy of the MPM method.
Citation
Ghaffari Motlagh, Y., & Coombs, W. (2017). An implicit high-order material point method. Procedia engineering, 175, 8-13. https://doi.org/10.1016/j.proeng.2017.01.003
Journal Article Type | Conference Paper |
---|---|
Conference Name | 1st International Conference on the Material Point Method (MPM 2017) |
Conference Location | Delft, Netherlands |
Acceptance Date | Dec 5, 2016 |
Online Publication Date | Feb 27, 2017 |
Publication Date | Feb 27, 2017 |
Deposit Date | Jan 17, 2017 |
Publicly Available Date | Jan 17, 2017 |
Journal | Procedia Engineering |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 175 |
Pages | 8-13 |
DOI | https://doi.org/10.1016/j.proeng.2017.01.003 |
Public URL | https://durham-repository.worktribe.com/output/1147691 |
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Publisher Licence URL
http://creativecommons.org/licenses/by-nc-nd/4.0/
Copyright Statement
© 2017 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license
(http://creativecommons.org/licenses/by-nc-nd/4.0/).
Published Journal Article
(1.1 Mb)
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Publisher Licence URL
http://creativecommons.org/licenses/by-nc-nd/4.0/
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