Abstract
The present work proposes the extension of the IMERSPEC methodology for numerical simulations of two-phase flows. This methodology consists of the fusion between the Fourier pseudospectral method and the immersed boundary method for non-periodical problems. This method was originally developed for single-phase and incompressible flows (Mariano et al., Comput Model Eng Sci 59:181–216, 2010). In the present paper, we extend this methodology for two-phase flows using the front-tracking method to model the fluid-fluid interface. The results involving the spurious currents, mass conservation and analysis through numerical experimental bubbles rise, show that the proposed method can be considered validated and promising to computational fluid dynamics (CFD).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
C. Canuto, M.Y. Hussaini, A. Quarteroni, T.A. Zang Jr., Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics (Springer, New York, 2007), 596 p.
R. Clift, J.R. Grace, M.E. Weber, Bubbles, Drops, and Particles (Academic Press, New York, 1978), 380 p.
H.G. da Silva, M.M. Villar, Verificação e validação de códigos computacionais, Coleção Cadernos de Turbulência (ABCM - Associação Brasileira de Engenharia e Ciências Mecânicas, Ilha Solteira, 2010), pp. 51–94
R.L. Datta, D.H. Napier, D.M. Newitt, The properties and behaviour of gas bubbles formed at circular orifices. Trans. Inst. Chem. Eng. 28, 14–26 (1950)
F.P. Mariano, L.Q. Moreira, N.A. Silveira, C.F.N.B. da Silva, J.C.F. Pereira, A new incompressible Navier-Stokes solver combining Fourier pseudo-spectral and immersed boundary method. Comput. Model. Eng. Sci. 59, 181–216 (2010). http://www.techscience.com/doi/10.3970/cmes.2010.059.181.html
C.S. Peskin, Numerical analysis of blood flow in the heart. J. Comput. Phys. 25, 220–252 (1977). http://www.sciencedirect.com/science/article/pii/0021999177901000
M.M. Villar, Análise Numérica Detalhada de Escoamentos Multifásicos Bidimensionais (Universidade Federal de Uberlândia, Uberlândia, 2007), 277 p.
M.F.S. Villela, Modelagem matemática de escoamentos bifsicos usando o método espectral de Fourier (Universidade Federal de Uberlândia, Uberlândia, 2011), 83 p.
Acknowledgements
The authors would like to thank to PETROBRAS, CAPES, FAPEMIG, FAPEG, CAPES/PROEX, CNPq, UFU and UFG for the support for the present work development.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Villela, M.F.d.S., Mariano, F.P., da Silveira-Neto, A. (2015). Numerical Simulation of Two-Phase Flows Using Fourier Pseudospectral Method. In: Kirby, R., Berzins, M., Hesthaven, J. (eds) Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014. Lecture Notes in Computational Science and Engineering, vol 106. Springer, Cham. https://doi.org/10.1007/978-3-319-19800-2_46
Download citation
DOI: https://doi.org/10.1007/978-3-319-19800-2_46
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-19799-9
Online ISBN: 978-3-319-19800-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)