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Fluid-structure interactions of spheres in pipelines, using computational and port-Hamiltonian approaches

Field, J.D. (2016) Fluid-structure interactions of spheres in pipelines, using computational and port-Hamiltonian approaches. Bachelor's Thesis, Mathematics.

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Abstract

Initially, this thesis looks at computational simulations of spherical sensors, or motes, travelling through fluid-filled pipelines with no free surface. Two factors are important in this part of the study: to understand whether qualitative flow behaviour can be gained from simple numerical simulations, and to analyse the efficiency of a quasi-simultaneous iterative coupling method, compared to standard coupling methods. Regarding flow behaviour, simulation results find that motes tend to converge towards the centre of the pipe, regardless of their initial release point, but that there may be a region of equilibrium around the pipe’s central axis. Simulation data also finds that the quasi-simultaneous method is much more efficient than standard methods, especially when simulating the behaviour of neutrally dense motes. The second part of the study then attempts to describe the fluid-structure interaction in the framework of port-Hamiltonian systems, using a combination of mechanical and hydraulic domains. Different approaches are attempted here, resulting in coupling equations built on an assumed Hamiltonian form. Finally, a bridge between the two parts of the thesis is attempted, describing the numerical coupling scheme using port-Hamiltonian language.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 08:25
Last Modified: 15 Feb 2018 08:25
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/14578

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