Kelvin-Helmholtz instability by SPH

Shadloo, Mostafa Safdari and Yıldız, Mehmet (2011) Kelvin-Helmholtz instability by SPH. In: ECCOMAS Thematic Conference: 2nd International Conference on Particle-based Methods - Fundamentals and Applications (PARTICLES 2011), Barcelona, Spain

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In this paper, we have modeled the Kelvin-Helmholtz Instability (KHI) prob- lem of an incompressible two-phase immiscible fluid in a stratified inviscid shear flow with interfacial tension using Smoothed Particle Hydrodynamics (SPH) method. The time dependent evolution of the two-fluid interface over a wide range of Richardson number (Ri)and for three different density ratios is numerically investigated. The simulation results are compared with analytical solutions in the linear regime. It was observed that the SPH method requires a Richardson number lower than unity for the onset of KHI, and that the artificial viscosity plays a significant role in obtaining physically correct simulation results that are in agreement with analytical solutions. The numerical algorithm presented in this work can easily handle a two-phase fluid flow with various density ratios.
Item Type: Papers in Conference Proceedings
Uncontrolled Keywords: Smoothed Particle Hydrodynamics (SPH), Shear flow, Two-Phase flow, Interfacial flows, Surface tension, Kelvin-Helmholtz Instability (KHI)
Divisions: Faculty of Engineering and Natural Sciences > Academic programs > Mechatronics
Faculty of Engineering and Natural Sciences > Academic programs > Materials Science & Eng.
Faculty of Engineering and Natural Sciences
Depositing User: Mehmet Yıldız
Date Deposited: 08 Jan 2012 13:58
Last Modified: 26 Apr 2022 09:04

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