Accuracy of the discretisation used in CONTACT
Niels van der Wekken

Supervisor: Kees Vuik

Site of the project: VORtech
Martinus Nijhoflaan 2/19
2624 ES Delft

Daily supervisor VORtech: Edwin Vollebregt

start of the project: April 2016

In June 2016 the Interim Thesis has appeared and a presentation has been given.

The Master project has been finished in August 2017 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:
It appears that in time dependent simulations ("transient rolling") non-physical wiggles appear when the time step dt << dx/V. In this project an investigation is done to understand why the wiggles appear and how they can be circumvented.

Another issue is that the computing time of CONTACT increases with the number of elements (O(h^-3)), whereas the discretisation error only decreases as O(h). The aim is to develop a numerical method which is second order accurate, so the discretisation error is O(h^2).

For both issues it seems to be a good idea to use piecewise linear polynomials in stead of piecewise constant polynomials. This will be the starting point for the research in this project.

Contact information: Kees Vuik

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