Rival, David EmoryWood, David HoweNeeteson, Nathan John2015-06-262015-11-202015-06-262015http://hdl.handle.net/11023/2321The Eulerian-frame extraction of pressure fields from particle image velocimetry and particle tracking velocimetry has been thoroughly investigated in the literature. In this thesis, a novel pressure-extraction technique is developed for the extraction of pressure fields in the Lagrangian frame, in which the data is distributed randomly throughout the domain. This technique uses a Poisson solver to extract the pressure field on a network of particles that is constructed using the Delaunay triangulation and the Voronoi tessellation. Using synthetic data, the Lagrangian technique was shown to out-perform the Eulerian technique with the Dirichlet boundary condition. An experimental validation of the technique was performed by extracting the pressure field on the surface of a sphere in free-fall. Comparing the extracted surface-pressure distribution to reference data yielded a good agreement. It is concluded that operating in a purely-Lagrangian frame is advantageous compared to interpolating Lagrangian data to a structured grid.engUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.Engineering--MechanicalLagrangian DataPressure Extractionmaster thesis10.11575/PRISM/27421