Nested Newton-type numerical model for describing single phase flows in enclosed systems

Nested Newton-type numerical model for describing single phase flows in enclosed systems

van Zon, M.A.

Vuik, C. (mentor)
Kenjeres, S. (mentor)

Electrical Engineering, Mathematics and Computer Science

Applied Physics

2016-07-26

Bachelor project part of the double degree bachelor in mathematics and physics. Physical phenomena tend to be difficult to simulate using mathematical models. Part of the problem lies in the fact that accurate simulations rely heavily on (limited) computational power. In order to speed up this process, new numerical methods are derived. One of these methods is the Nested Newton-type iterative method introduced by Casulli et al. The aim of this paper is to verify their new numerical method through theory and simulations. As such, a formal proof of the method is provided and several test cases have been simulated. The results of the method are very promising since the results coincide with the analytical solutions. For future research it would be interesting to perform measurements to further verify the method. Furthermore, to increase the efficiency of the method, the effects of a numerical Jordan-decomposition can be studied.

http://resolver.tudelft.nl/uuid:11fd052a-876b-4a00-9754-cb2534fec2a8

Student theses

bachelor thesis

(c) van Zon, M.A.