Some aspects in Kelvin-Helmholtz instability with and without Boussinesq approximation

The topic of this paper is the Kelvin-Helmholtz instability, a phenomenon which occurs on the interface of a stratified fluid, in the presence of a parallel shear flow, when there is a velocity and density difference across the interface of two adjacent layers. This paper focuses on a numerical simu...

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Autores principales:	Ilinca-Laura BURDULEA, Alina BOGOI
Formato:	article
Lenguaje:	EN
Publicado:	National Institute for Aerospace Research “Elie Carafoli” - INCAS 2021
Materias:	weno kelvin-helmholtz taylor-goldstein rusanov harten-lax-van leer contact tvd runge-kutta Motor vehicles. Aeronautics. Astronautics TL1-4050
Acceso en línea:	https://doaj.org/article/790a270b236744a39d4e655107ed77a6
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spelling	oai:doaj.org-article:790a270b236744a39d4e655107ed77a62021-12-05T20:51:52ZSome aspects in Kelvin-Helmholtz instability with and without Boussinesq approximation10.13111/2066-8201.2021.13.4.32066-82012247-4528https://doaj.org/article/790a270b236744a39d4e655107ed77a62021-12-01T00:00:00Zhttps://bulletin.incas.ro/files/burdulea__bogoi__vol_13_iss_4.pdfhttps://doaj.org/toc/2066-8201https://doaj.org/toc/2247-4528The topic of this paper is the Kelvin-Helmholtz instability, a phenomenon which occurs on the interface of a stratified fluid, in the presence of a parallel shear flow, when there is a velocity and density difference across the interface of two adjacent layers. This paper focuses on a numerical simulation modelled by the Taylor-Goldstein equation, which represents a more realistic case compared to the basic Kelvin-Helmholtz shear flow. The Euler system is solved with new modelled smooth velocity and density profiles at the interface. The flux at cell boundaries is reconstructed by implementing a third order WENO (Weighted Essentially Non-Oscillatory) method. Next, a Riemann solver builds the fluxes at cell interfaces. The use of both Rusanov and HLLC solvers is investigated. Temporal discretization is done by applying the second order TVD (total variation diminishing) Runge-Kutta method on a uniform grid. Numerical simulations are performed comparatively for both Kelvin-Helmholtz and Taylor-Goldstein instabilities, on the same simulation domains. We find that increasing the number of grid points leads to a better accuracy in shear layer vortices visualization. Thus, we can conclude that applying the Taylor-Goldstein equation improves the realism in the general fluid instability modelling.Ilinca-Laura BURDULEAAlina BOGOINational Institute for Aerospace Research “Elie Carafoli” - INCASarticlewenokelvin-helmholtztaylor-goldsteinrusanovharten-lax-van leer contacttvd runge-kuttaMotor vehicles. Aeronautics. AstronauticsTL1-4050ENINCAS Bulletin, Vol 13, Iss 4, Pp 25-33 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	weno kelvin-helmholtz taylor-goldstein rusanov harten-lax-van leer contact tvd runge-kutta Motor vehicles. Aeronautics. Astronautics TL1-4050
spellingShingle	weno kelvin-helmholtz taylor-goldstein rusanov harten-lax-van leer contact tvd runge-kutta Motor vehicles. Aeronautics. Astronautics TL1-4050 Ilinca-Laura BURDULEA Alina BOGOI Some aspects in Kelvin-Helmholtz instability with and without Boussinesq approximation
description	The topic of this paper is the Kelvin-Helmholtz instability, a phenomenon which occurs on the interface of a stratified fluid, in the presence of a parallel shear flow, when there is a velocity and density difference across the interface of two adjacent layers. This paper focuses on a numerical simulation modelled by the Taylor-Goldstein equation, which represents a more realistic case compared to the basic Kelvin-Helmholtz shear flow. The Euler system is solved with new modelled smooth velocity and density profiles at the interface. The flux at cell boundaries is reconstructed by implementing a third order WENO (Weighted Essentially Non-Oscillatory) method. Next, a Riemann solver builds the fluxes at cell interfaces. The use of both Rusanov and HLLC solvers is investigated. Temporal discretization is done by applying the second order TVD (total variation diminishing) Runge-Kutta method on a uniform grid. Numerical simulations are performed comparatively for both Kelvin-Helmholtz and Taylor-Goldstein instabilities, on the same simulation domains. We find that increasing the number of grid points leads to a better accuracy in shear layer vortices visualization. Thus, we can conclude that applying the Taylor-Goldstein equation improves the realism in the general fluid instability modelling.
format	article
author	Ilinca-Laura BURDULEA Alina BOGOI
author_facet	Ilinca-Laura BURDULEA Alina BOGOI
author_sort	Ilinca-Laura BURDULEA
title	Some aspects in Kelvin-Helmholtz instability with and without Boussinesq approximation
title_short	Some aspects in Kelvin-Helmholtz instability with and without Boussinesq approximation
title_full	Some aspects in Kelvin-Helmholtz instability with and without Boussinesq approximation
title_fullStr	Some aspects in Kelvin-Helmholtz instability with and without Boussinesq approximation
title_full_unstemmed	Some aspects in Kelvin-Helmholtz instability with and without Boussinesq approximation
title_sort	some aspects in kelvin-helmholtz instability with and without boussinesq approximation
publisher	National Institute for Aerospace Research “Elie Carafoli” - INCAS
publishDate	2021
url	https://doaj.org/article/790a270b236744a39d4e655107ed77a6
work_keys_str_mv	AT ilincalauraburdulea someaspectsinkelvinhelmholtzinstabilitywithandwithoutboussinesqapproximation AT alinabogoi someaspectsinkelvinhelmholtzinstabilitywithandwithoutboussinesqapproximation
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Some aspects in Kelvin-Helmholtz instability with and without Boussinesq approximation

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