PhD Graduate

PhD program:: XXXIII

supervisor: C. Mascia
advisor: A. Colagrossi - A. Di Mascio

Thesis title: 2d viscous flow studied using vortex particle methods

Vortex particle methods are alternative methods to Eulerian approaches for the solution of the incompressible Navier-Stokes equations in vorticity-velocity variables. They are characterized by the inherent ability to adapt to the flow due to their Lagrangian formulation for the advection and additionally by the decoupling of the pressure from the momentum equation. In this work, we study these methods using the Lagrangian vortex particle method Diffused Vortex Hydrodynamics that uses the operator splitting in time of Chorin. Numerical results are obtained for problems containing solid boundaries in the domain for different test cases. We compare the results with a finite volume solver that discretizes the velocity-pressure formulation of Navier-Stokes and uses artificial compressibility to evolve the solution in time, also introduced by Chorin. The comparison is obtained based on local and global derived quantities. Finally, an application of the method to a physical study is presented regarding the flow past an elliptical cylinder.

Research products

11573/1337883 - 2019 - Chorin's approaches revisited: vortex particle method vs finite volume method
Giannopoulou, Ourania; Andrea, Colagrossi; Di Mascio, Andrea; Mascia, Corrado - 01a Articolo in rivista
paper: ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (Elsevier Applied Science:An Imprint of Elsevier Science Ltd, The Boulevard, Langford Lane, Kidlington Oxford OX5 1GB United Kingdom:011 44 1865 843000, 011 44 1865 843699, EMAIL: nlinfo-f@elsevier.nl OR usinfo-f@elsevier.com OR forinfo-kyf04035@niftyserve.or.jp, INTERNET: http://www.elsevier.nl/, Fax: 011 44 1865 843010) pp. 371-388 - issn: 0955-7997 - wos: WOS:000487168600033 (10) - scopus: 2-s2.0-85066955766 (12)

11573/1531549 - 2019 - Vorticity dynamics past an inclined elliptical cylinder at different re numbers: from periodic to chaotic solutions
Giannopoulou, Ourania; O., Durante; D., Colagrossi; A., Mascia - 04b Atto di convegno in volume
conference: VI International conference on particle-based methods: fundamentals and applications, PARTICLES 2019 (Barcelona; Spagna)
book: International conference on particle-based methods - (978-84-121101-1-1)

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