Moving least squares reconstruction for B-spline Material Point Method

Quoc Tran, Elizaveta Wobbes, Wojciech Tomasz Sołowski, Matthias Möller, Cornelis Vuik

Research output: Chapter in Book/Report/Conference proceedingConference 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). B-spline MPM have shown to reduce the grid-crossing errors inherent in the original Material Point Method. However, in the large deformation regime where the grid-crossing occurs frequently, the B-spline MPM suffered from the reduction of spatial convergence rate of the numerical solution. In this paper, moving least squares reconstruction is employed to retrieve the expected convergence rate of the numerical solutions. The proposed formulation version is examined in terms of the spatial convergence using the method of manufactured solutions for large deformations.
Original languageEnglish
Title of host publicationProceedings os the 2nd International Conference on the Material Point Method for Modelling Sil-Water-Structure Interaction
EditorsDongfang Liang, Krishna Kumar, Alexander Rohe
Number of pages7
Publication statusPublished - 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

Keywords

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

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  • Activities

    • 1 Conference presentation

    SECOND INTERNATIONAL CONFERENCE ON THE MATERIAL POINT METHOD FOR MODELLING SOIL–WATER–STRUCTURE INTERACTION

    Quoc Anh Tran (Speaker)
    8 Jan 201910 Jan 2019

    Activity: Talk or presentation typesConference presentation

    Cite this

    Tran, Q., Wobbes, E., Sołowski, W. T., Möller, M., & Vuik, C. (2019). Moving least squares reconstruction for B-spline Material Point Method. In D. Liang, K. Kumar, & A. Rohe (Eds.), Proceedings os the 2nd International Conference on the Material Point Method for Modelling Sil-Water-Structure Interaction [mpm2019.07]