Abstract
The linear phase of the process leading to a developed turbulence is particularly important for the study of flow stability. A Galerkin spectral method adapted to the study of the mixture layer of one fluid is proposed from a sheared initial velocity profile. An algebraic mapping is developed to improve accuracy near high gradient zone. Validation is obtained by analytic methods for non-viscous flow and multi-domain spectral methods for viscous and compressible flow. Rates of growth are presented for subsonic and slightly supersonic flow. An extension of the method is presented for the study of the linear stability of a mixture with variable concentration and transport properties.
Citation Formats
Hallo, L, and Gauthier, S.
Linear study of Kelvin-Helmholtz instability for a viscous compressible fluid; Etude lineaire de l`instabilite de Kelvin-Helmholtz pour un fluide visqueux compressible.
France: N. p.,
1992.
Web.
Hallo, L, & Gauthier, S.
Linear study of Kelvin-Helmholtz instability for a viscous compressible fluid; Etude lineaire de l`instabilite de Kelvin-Helmholtz pour un fluide visqueux compressible.
France.
Hallo, L, and Gauthier, S.
1992.
"Linear study of Kelvin-Helmholtz instability for a viscous compressible fluid; Etude lineaire de l`instabilite de Kelvin-Helmholtz pour un fluide visqueux compressible."
France.
@misc{etde_10128031,
title = {Linear study of Kelvin-Helmholtz instability for a viscous compressible fluid; Etude lineaire de l`instabilite de Kelvin-Helmholtz pour un fluide visqueux compressible}
author = {Hallo, L, and Gauthier, S}
abstractNote = {The linear phase of the process leading to a developed turbulence is particularly important for the study of flow stability. A Galerkin spectral method adapted to the study of the mixture layer of one fluid is proposed from a sheared initial velocity profile. An algebraic mapping is developed to improve accuracy near high gradient zone. Validation is obtained by analytic methods for non-viscous flow and multi-domain spectral methods for viscous and compressible flow. Rates of growth are presented for subsonic and slightly supersonic flow. An extension of the method is presented for the study of the linear stability of a mixture with variable concentration and transport properties.}
place = {France}
year = {1992}
month = {Dec}
}
title = {Linear study of Kelvin-Helmholtz instability for a viscous compressible fluid; Etude lineaire de l`instabilite de Kelvin-Helmholtz pour un fluide visqueux compressible}
author = {Hallo, L, and Gauthier, S}
abstractNote = {The linear phase of the process leading to a developed turbulence is particularly important for the study of flow stability. A Galerkin spectral method adapted to the study of the mixture layer of one fluid is proposed from a sheared initial velocity profile. An algebraic mapping is developed to improve accuracy near high gradient zone. Validation is obtained by analytic methods for non-viscous flow and multi-domain spectral methods for viscous and compressible flow. Rates of growth are presented for subsonic and slightly supersonic flow. An extension of the method is presented for the study of the linear stability of a mixture with variable concentration and transport properties.}
place = {France}
year = {1992}
month = {Dec}
}