Print Email Facebook Twitter Conservative Taylor least squares reconstruction with application to material point methods Title Conservative Taylor least squares reconstruction with application to material point methods Author Wobbes, Elizaveta (TU Delft Numerical Analysis) Möller, M. (TU Delft Numerical Analysis) Galavi, Vahid (Deltares) Vuik, Cornelis (TU Delft Numerical Analysis) Date 2019 Abstract Within the standard material point method (MPM), the spatial errors are partially caused by the direct mapping of material-point data to the background grid. In order to reduce these errors, we introduced a novel technique that combines the least squares method with the Taylor basis functions, called the Taylor least squares (TLS), to reconstruct functions from scattered data while preserving their integrals. The TLS technique locally approximates quantities of interest such as stress and density, and when used with a suitable quadrature rule, it conserves the total mass and linear momentum after transferring the material-point information to the grid. The integration of the technique into MPM, dual domain MPM, and B-spline MPM significantly improves the results of these methods. For the considered examples, the TLS function reconstruction technique resembles the approximation properties of highly accurate spline reconstruction while preserving the physical properties of the standard algorithm. Subject B-splineconservationfunction reconstructionleast squaresmaterial point methodTaylor basis To reference this document use: http://resolver.tudelft.nl/uuid:fc61863f-a575-4941-abe4-a99efe6a76bf DOI https://doi.org/10.1002/nme.5956 ISSN 0029-5981 Source International Journal for Numerical Methods in Engineering, 117 (3), 271-290 Bibliographical note green Part of collection Institutional Repository Document type journal article Rights © 2019 Elizaveta Wobbes, M. Möller, Vahid Galavi, Cornelis Vuik Files PDF 47134691_Wobbes_et_al_201 ... eering.pdf 1.18 MB Close viewer /islandora/object/uuid:fc61863f-a575-4941-abe4-a99efe6a76bf/datastream/OBJ/view