An improved moving least squares method for the Material Point Method

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

Researchers

Research units

  • Scientific Computing and Imaging Institute, University of Utah

Abstract

The paper presents an improved moving least squares reconstruction technique for the Material Point Method. The moving least squares reconstruction (MLS) can improve spatial accuracy in simulations involving large deformations. However, the MLS algorithm relies on computing the inverse of the moment matrix. This is both expensive and potentially unstable when there are not enough material points to reconstruct the high-order least squares function, which leads to a singular or an ill-conditioned matrix. The shown formulation can overcome this limitation while retain the same order of accuracy compared with the conventional moving least squares reconstruction. Numerical experiments demonstrate the improvements in the accuracy and comparison with the original Material Point Method and the Convected Particles Domain Interpolation method.

Details

Original languageEnglish
Title of host publicationProceedings of the 2nd International Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction (MPM 2019)
EditorsDongfang Liang, Krishna Kumar, Alexander Rohe
Publication statusPublished - 10 Jan 2019
MoE publication typeA4 Article in a conference publication
EventInternational Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction - University of Cambridge, Cambridge, United Kingdom
Duration: 8 Jan 201910 Jan 2019
Conference number: 2
http://mpm2019.eu/home

Conference

ConferenceInternational Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction
Abbreviated titleMPM
CountryUnited Kingdom
CityCambridge
Period08/01/201910/01/2019
Internet address

    Research areas

  • Material Point Method, Moving least square, CPDI, improved moving least squares

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