Moving least squares reconstruction for B-spline Material Point Method

Title

Moving least squares reconstruction for B-spline Material Point Method

 Author

Tran, Quoc-Anh (Aalto University)
Wobbes, Elizaveta (TU Delft Numerical Analysis) ORCID 0000-0001-5567-0886
Sołowski, Wojciech (Aalto University)
Möller, M. (TU Delft Numerical Analysis) ORCID 0000-0003-0802-945X
Vuik, Cornelis (TU Delft Numerical Analysis) ORCID 0000-0002-5988-9153

 Date

2019

 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.

 Subject

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

 To reference this document use:

http://resolver.tudelft.nl/uuid:2efe0ea6-4566-43e4-a85e-165d92569f5c

 Source

Proceedings of the Second International Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction: 8 – 10 January 2019, University of Cambridge, United Kingdom

 Event

MPM 2019: 2nd International Conference on the Material Point Method for Modelling Soil–Water–Structure Interaction, 2019-01-08 → 2019-01-10, Cambridge, United Kingdom

 Bibliographical note

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 Part of collection

Institutional Repository

 Document type

conference paper

 Rights

© 2019 Quoc-Anh Tran, Elizaveta Wobbes, Wojciech Sołowski, M. Möller, Cornelis Vuik
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