A numerical study of Rayleigh-Taylor instability for various Atwood numbers using ISPH method

Rahmat, Amin and Tofighi, Nima and Yıldız, Mehmet (2018) A numerical study of Rayleigh-Taylor instability for various Atwood numbers using ISPH method. Progress in Computational Fluid Dynamics, 18 (5). pp. 267-276. ISSN 1468-4349 (Print) 1741-5233 (Online)

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In this paper, the wall bounded single-mode Rayleigh-Taylor instability (RTI) for a two-phase immiscible fluid system in a confined domain is investigated numerically for various Atwood numbers ranging from At = 0.2 to At = 0.8. Governing equations are discretised using the smoothed particle hydrodynamics (SPH) method. A robust numerical scheme is used to simulate the RTI phenomenon and in order to model the fluid-flow in the vicinity of the interface, transport parameters such as density and viscosity are smoothed using colour function. The surface tension force is coupled to the momentum equation using continuum surface force (CSF) model. It is shown that in general the RTI evolves in three distinct stages, namely linear stability, mushroom-head formation and long-term evolution. The growth rate in the first stage, i.e. the linear instability, shows good agreement with the analytical solution in the literature. The qualitative and quantitative results of second and third stages are introduced and relevant discussions are made.
Item Type: Article
Uncontrolled Keywords: Atwood number; Interfacial flow; Multi-phase flow; Rayleigh-Taylor instability; RTI; Smoothed particle hydrodynamics; SPH
Divisions: Faculty of Engineering and Natural Sciences
Integrated Manufacturing Technologies Research and Application Center
Depositing User: Mehmet Yıldız
Date Deposited: 31 Jul 2023 11:53
Last Modified: 31 Jul 2023 11:53
URI: https://research.sabanciuniv.edu/id/eprint/46608

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