Regularized MPM for porous media

Publikationstyp
Thesis
Thesis Type
Doctoral Thesis
Publikationsdatum
2023-04
Sprache
English
Author
Chmelnizkij, Alexander 
Advisor
Grabe, Jürgen 
Referee
Düster, Alexander 
Simonini, Paolo 
Title Granting Institution
Technische Universität Hamburg
Place of Title Granting Institution
Hamburg
Examination Date
2022-12-20
Institut
Geotechnik und Baubetrieb B-5 
DOI
10.15480/882.4941.2
TORE-URI
http://hdl.handle.net/11420/14830.2
Lizenz
https://creativecommons.org/licenses/by-nc-sa/4.0/
First published in
Veröffentlichungen des Instituts für Geotechnik und Baubetrieb 
Number in series
57
Citation
Technische Universität Hamburg (2023)
Publisher
Technische Universität Hamburg, Institut für Geotechnik und Baubetrieb
The present work deals with improving the Material Point Method (MPM) and its application to differential equations for modelling dry and saturated porous media. An adaptive regularization is proposed to improve the Moving Least Squares Approximation (MLS) in MPM, allowing improved results to be obtained even in the presence of unfavourable distributions of material points. Moreover, the Wendland function is proposed as a weighting function for the MPM, showing better convergence analysis results. The parallelization of the double point MPM (2P-MPM) is presented for a more efficient simulation of saturated soils.
Schlagworte
Material Point Method (MPM), Wave propagation in saturated porous media, Moving-Least-Squares (MLS), Regularization, Large Deformation, Parallization
DDC Class
550: Geowissenschaften