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Port-Hamiltonian discretization of gas pipeline networks

Wilde, H.W.P. de (2015) Port-Hamiltonian discretization of gas pipeline networks. Master's Thesis / Essay, Mathematics.

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Abstract

Academic Thesis: In this thesis we describe how to simulate the 1-d isothermal Euler equations that can be used to model gas dynamics in pipeline networks. We succeeded in writing the equations for pipelines as a port-Hamiltonian system. The port-Hamiltonian formulation makes it possible to systematically connect the gas pipes together to form a pipeline network. This thesis describes the whole procedure from the initial PDEs to the port-Hamiltonian discretization, to the resulting simulation. The succesfull application of the port-Hamiltonian formulation and discretization to the equations of gas dynamics in pipelines can be seen as the result of this thesis. Corporate Thesis: At BMW's pre-development department called BMW Forschung und Technik in München, I worked on a topic about driver assistance systems. My target was to speed up the search strategy for heads of pedestrians in images taken in front of a driving car. The crucial part was to make the problem abstract such that mathematical tools could be applied. The succesfull transformation of the information about the environment into a optimization problem can be seen as the result of the topic.

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Mathematics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 08:08
Last Modified: 15 Feb 2018 08:08
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/13346

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