Moving least squares reconstruction for B-spline Material Point Method

Conference paper (2019)

Authors

Quoc Anh Tran Aalto University

Elizaveta Wobbes Numerical Analysis -

Wojciech Sołowski Aalto University

M. Möller Numerical Analysis -

Cornelis Vuik Numerical Analysis -

Research Group

Numerical Analysis () (TU Delft)

Function reconstruction Material Point Method Moving least squares B-spline basis function

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Published Date

2019

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Numerical Analysis

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.

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