Moving least squares material point method for porous media
Moving least squares material point method for porous media
Different authors successfully applied the Moving Least Squares approximation (MLS) in the Material Point Method (MPM). In particular, the MLS provides better results for scattered distributions of material points than standard MPM approaches. The application of MLS to a coupled formulation, as in the case of saturated soil, bears further challenges. The transfer of information from material points to grid nodes and vice versa is performed on two material point sets, leading to different approximation accuracies for solid and liquid. This issue is investigated based on coupled wave propagation with randomly distributed material points. In the case of gaps in the distribution of material points, undesired reflections appear, which can affect the simulation results of dynamic problems such as pile installation, dynamic compaction, etc. in an unfavorable way. These reflections can be partly avoided by using MLS with large compact supports for the weighting functions. The best combinations of weighting functions are studied to improve the simulations.
Alexander Chmelnizkij
10th European Conference on Numerical Methods in Geotechnical Engineering (NUMGE2023)
3. Coupled analysis
https://doi.org/10.53243/NUMGE2023-75
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