A Convected Particle Least Square Interpolation Material Point Method
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2020-03-30
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Language
en
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International Journal for Numerical Methods in Engineering
Abstract
Applying the Convected Particle Domain Interpolation (CPDI) to the Material Point Method has many advantages over the original Material Point Method, including significantly improved accuracy. However, in the large deformation regime, the CPDI still may not retain the expected convergence rate. The paper proposes an enhanced CPDI formulation based on least square reconstruction technique. The Convected Particle Least Square Interpolation (CPLS) Material Point Method assumes the velocity field inside the material point domain as non‐constant. This velocity field in the material point domain is mapped to the background grid nodes with a Moving Least Squares reconstruction. In this paper, we apply the Improved Moving Least Squares method to avoid the instability of the conventional Moving Least Squares method due to a singular matrix. The proposed algorithm can improve convergence rate, as illustrated by numerical examples using the Method of Manufactured Solutions.Description
Keywords
convected particle domain interpolation, improved moving least squares, material point method, methods of manufactured solution, moving least squares, numerical convergence
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Citation
Tran, Q A, Sołowski, W T, Berzins, M & Guilkey, J 2020, ' A Convected Particle Least Square Interpolation Material Point Method ', International Journal for Numerical Methods in Engineering, vol. 121, no. 6, pp. 1068-1100 . https://doi.org/10.1002/nme.6257
