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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