Academic Journal
Numerical modeling of Kelvin-Helmholtz instability using smoothed particle hydrodynamics
| العنوان: | Numerical modeling of Kelvin-Helmholtz instability using smoothed particle hydrodynamics |
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| المؤلفون: | Shadloo, M.S., Yildiz, M. |
| المساهمون: | Faculty of Engineering and Natural Sciences (Sabanci University), Sabanci University Istanbul |
| المصدر: | ISSN: 0029-5981. |
| بيانات النشر: | HAL CCSD Wiley |
| سنة النشر: | 2011 |
| المجموعة: | Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
| مصطلحات موضوعية: | Analytical solutions, Artificial viscosity, Density ratio, Immiscible fluids, Interfacial flows, Kelvin-helmholtz instabilities, Linear regime, Numerical algorithms, Numerical modeling, Richardson number, Shear layer, Simulation result, Smoothed particle hydrodynamics, SPH methods, Time-dependent evolutions, Two-fluid interface, Two-phase fluid flow, Various densities, Algorithms, Fluids, Helmholtz equation, Hydrodynamics, Mixed convection, Multiphase flow, Surface properties, Surface tension, Two dimensional, Shear flow, [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Mechanics of the fluids [physics.class-ph] |
| الوصف: | cited By 40 ; This paper presents a Smoothed Particle Hydrodynamics (SPH) solution for the Kelvin-Helmholtz Instability (KHI) problem of an incompressible two-phase immiscible fluid in a stratified inviscid shear flow with interfacial tension. 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. Having captured the physics behind KHI, the effects of gravity and surface tension on a two-dimensional shear layer are examined independently and together. It is shown that the growth rate of the KHI is mainly controlled by the value of the Ri number, not by the nature of the stabilizing forces. 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 two-phase fluid flow with various density ratios. © 2011 John Wiley & Sons, Ltd. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | hal-02127874; https://hal.archives-ouvertes.fr/hal-02127874 |
| DOI: | 10.1002/nme.3149 |
| الاتاحة: | https://hal.archives-ouvertes.fr/hal-02127874 https://doi.org/10.1002/nme.3149 |
| رقم الانضمام: | edsbas.EF44D1FC |
| قاعدة البيانات: | BASE |
| DOI: | 10.1002/nme.3149 |
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