An improved moving least squares method for the Material Point Method

Tutkimustuotos: Artikkeli kirjassa/konferenssijulkaisussavertaisarvioitu

Tutkijat

Organisaatiot

  • Scientific Computing and Imaging Institute, University of Utah

Kuvaus

The paper presents an improved moving least squares reconstruction technique for the Material Point Method. The moving least squares reconstruction (MLS) can improve spatial accuracy in simulations involving large deformations. However, the MLS algorithm relies on computing the inverse of the moment matrix. This is both expensive and potentially unstable when there are not enough material points to reconstruct the high-order least squares function, which leads to a singular or an ill-conditioned matrix. The shown formulation can overcome this limitation while retain the same order of accuracy compared with the conventional moving least squares reconstruction. Numerical experiments demonstrate the improvements in the accuracy and comparison with the original Material Point Method and the Convected Particles Domain Interpolation method.

Yksityiskohdat

AlkuperäiskieliEnglanti
OtsikkoProceedings of the 2nd International Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction (MPM 2019)
ToimittajatDongfang Liang, Krishna Kumar, Alexander Rohe
TilaJulkaistu - 10 tammikuuta 2019
OKM-julkaisutyyppiA4 Artikkeli konferenssijulkaisuussa
TapahtumaInternational Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction - University of Cambridge, Cambridge, Iso-Britannia
Kesto: 8 tammikuuta 201910 tammikuuta 2019
Konferenssinumero: 2
http://mpm2019.eu/home

Conference

ConferenceInternational Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction
LyhennettäMPM
MaaIso-Britannia
KaupunkiCambridge
Ajanjakso08/01/201910/01/2019
www-osoite

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