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Kelvin-Helmholtz instability by SPH

descriptionPublicationkeyboard_double_arrow_right Conference object 01 Jan 2011 Turkey, Spain English Publisher:CIMNE
Authors: Shadloo, M.S.; Yildiz, M.;

handle: 2117/189891

Kelvin-Helmholtz instability by SPH

Abstract

In this paper, we have modeled the Kelvin-Helmholtz Instability (KHI) problem 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 (i.e.,Ri ∼ = 0.8) 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.

Countries
Turkey, Spain
Related Organizations
Keywords

Two-fluid interface, Finite element method, Numerical algorithms, Time-dependent evolutions, Computational methods in mechanics, Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits, Richardson number, Elements finits, Mètode dels, Smoothed particle hydrodynamics, :Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits [Àrees temàtiques de la UPC], Two-phase fluid flow, Shear flow, Immiscible fluids, Kelvin-helmholtz instabilities, Smoothed particle hydrodynamics methods, Mixed convection, [PHYS.MECA.MEFL] Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], Interfacial flows, SPH methods, Various densities, Surface tension, Particle methods (Numerical analysis), Density ratio, Smoothed Particle Hydrodynamics (SPH), Shear flow, Two-Phase flow, Interfacial flows, Surface tension, Kelvin-Helmholtz Instability (KHI), Artificial viscosity, Hydrodynamics, Linear regime, Algorithms

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
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