Moving least squares reconstruction for B-spline Material Point Method

Quoc-Anh Tran, Lisa Wobbes, Wojciech Sołowski, Matthias Möller, Kees Vuik

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

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Abstract

The paper shows a moving least squares reconstruction technique applied to the B-spline Material Point Method (B-spline MPM). It has been shown previously that B-spline MPM can reduce grid-crossing errors inherent in the original Material Point Method. However, in the large deformation regime where the gridcrossing occurs more frequently, the convergence rate of B-spline MPMis lower. In this paper, moving least squares reconstruction is employed to retrieve the expected convergence rate. The proposed improvement is examined in terms of the spatial convergence using the methods of manufactured solutions for large deformations.
Original languageEnglish
Title of host publicationProceedings of the Second International Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction
Subtitle of host publication8 – 10 January 2019, University of Cambridge, United Kingdom
Pages35-41
Number of pages7
Publication statusPublished - 2019
EventMPM 2019: 2nd International Conference on the Material Point Method for Modelling Soil–Water–Structure Interaction - Cambridge, United Kingdom
Duration: 8 Jan 201910 Jan 2019
Conference number: 2
http://mpm2019.eu/home

Conference

ConferenceMPM 2019: 2nd International Conference on the Material Point Method for Modelling Soil–Water–Structure Interaction
Abbreviated titleMPM 2019
CountryUnited Kingdom
CityCambridge
Period8/01/1910/01/19
Internet address

Keywords

  • moving least squares
  • function reconstruction
  • B-spline basis function
  • Material Point Method

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