High-order accurate and stable material point method
Stijn Ruiter

Supervisor TU Delft: Matthias Moller and Deepesh Toshniwal

start of the project: October 2020

The Master project has been finished in December 2022 by the completion of the Masters Thesis and a final presentation has been given.

For working address etc. we refer to our alumnipage.

Summary of the master project:
The Material Point Method (MPM) tries to combine the advantages of Lagrangian and Eulerian approaches by using dedicated particles to reflect multi-materials or multiple phases of the same material, whereby the equations of motion are solved on a background mesh. This master thesis will focus on enhancing the stability of the Spline-based Material Point Method (SMPM). SMPM has been proposed to counter the problems associated with the classical MPM where discrete particles are coupled with the finite element method to solve the equations of motion on a background mesh. The aim of this thesis is to enhance the stability and robustness of SMPM while retaining its high-order accuracy. The specific problem (e.g., solid mechanics, fluid-structure interactions, two-phase flows) that the resulting method is tested upon will be decided during the course of the thesis.

Contact information: Kees Vuik

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