Oscillating droplets have been an object of various theoretical studies for more than a century and is one of the classic problems in fluid dynamics. A considerable number of theoretical models have been developed and many numerical simulations were conducted to investigate oscillating drops. However, the interplay between analytics and numerics is still not considered sufficiently and is capable of improvement. Thus, the main idea of this work is to extract data from numerical simulations to obtain an extensive comparison between numerics and the available analytical solutions. We present a method to extract surface coordinates of oscillating droplets from numerical simulations and perform a spectral decomposition into Legendre polynomials, in order to derive the different oscillation modes. Various simulations are performed with deviation of the initial droplet shape as well as varying viscosity. In addition, frequencies of the different modes are investigated and compared to analytical models. The method and the numerical results should serve as a basis to improve analytics and to motivate the development of more detailed oscillation models.

(2019). Direct Numerical Simulations of Oscillating Liquid Droplets: a Method to Extract Shape Characteristics . Retrieved from http://hdl.handle.net/10446/151040

Direct Numerical Simulations of Oscillating Liquid Droplets: a Method to Extract Shape Characteristics

Varma Raja Kochanattu, Gautham;Tonini, Simona;Cossali, Gianpietro;
2019-01-01

Abstract

Oscillating droplets have been an object of various theoretical studies for more than a century and is one of the classic problems in fluid dynamics. A considerable number of theoretical models have been developed and many numerical simulations were conducted to investigate oscillating drops. However, the interplay between analytics and numerics is still not considered sufficiently and is capable of improvement. Thus, the main idea of this work is to extract data from numerical simulations to obtain an extensive comparison between numerics and the available analytical solutions. We present a method to extract surface coordinates of oscillating droplets from numerical simulations and perform a spectral decomposition into Legendre polynomials, in order to derive the different oscillation modes. Various simulations are performed with deviation of the initial droplet shape as well as varying viscosity. In addition, frequencies of the different modes are investigated and compared to analytical models. The method and the numerical results should serve as a basis to improve analytics and to motivate the development of more detailed oscillation models.
2019
Reutzsch, Jonathan; VARMA RAJA KOCHANATTU, Gautham; Ibach, Matthias; Kieffer-Roth, Corine; Tonini, Simona; Cossali, Gianpietro; Weigand, Bernhard...espandi
File allegato/i alla scheda:
File Dimensione del file Formato  
ILASS_2019_Paper_Reutzsch.pdf

accesso aperto

Versione: publisher's version - versione editoriale
Licenza: Creative commons
Dimensione del file 851.65 kB
Formato Adobe PDF
851.65 kB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

Aisberg ©2008 Servizi bibliotecari, Università degli studi di Bergamo | Terms of use/Condizioni di utilizzo

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/151040
Citazioni
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact