The relationship between fluid dynamics and quantum mechanics has been known for some time but this relationship has not been transformed into a systematic numerical approach for calculating the motion of fluids. In this work the Von-Karman vortices on a cylindrical obstacle are simulated, using the Eulerian approach with the Schrödinger equation for incompressible superfluids called "Incompressible Schrodinger Flow" (ISF). The effect on the motion of three different parameters such as speed, hydraulic diameter and obstacle distance is then analysed. Finally, the results of the ISF code developed in MATLAB and a non-viscous Navier Stokes (NS) simulation in OpenFOAM are compared.
La relazione tra la fluidodinamica e la meccanica quantistica è nota da tempo ma questa relazione non è stata trasformata in un approccio numerico sistematico per il calcolo del moto dei fluidi. In questo lavoro vengono simulati i vortici di Von-Karman su un ostacolo cilindrico, usando l'approccio euleriano con l'equazione di Schrödinger per superfluidi incomprimibili e chiamata "Incompressible Schrodinger Flow" (ISF). Si analizza quindi l'effetto sul moto di tre diversi parametri quali velocità, diametro idraulico e distanza dell'ostacolo. Si confrontano infine i risultati del codice ISF sviluppato in MATLAB e una simulazione Navier Stokes (NS) non-viscosa in OpenFOAM
A compared detailed numerical investigation of von Karmen Street Phenomenon over a cylinderical geometry using newly developed Incompressible schrodinger flow method and conventional navier stokes equation
CHOWDHARY, SARWASVA
2022/2023
Abstract
The relationship between fluid dynamics and quantum mechanics has been known for some time but this relationship has not been transformed into a systematic numerical approach for calculating the motion of fluids. In this work the Von-Karman vortices on a cylindrical obstacle are simulated, using the Eulerian approach with the Schrödinger equation for incompressible superfluids called "Incompressible Schrodinger Flow" (ISF). The effect on the motion of three different parameters such as speed, hydraulic diameter and obstacle distance is then analysed. Finally, the results of the ISF code developed in MATLAB and a non-viscous Navier Stokes (NS) simulation in OpenFOAM are compared.File | Dimensione | Formato | |
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https://hdl.handle.net/10589/197034