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COMPRESSIBILITY EFFECTS DUE TO PRESSURE FLUCTUATIONS IN HOMOGENEOUS SHEAR FLOWFujihiro Hamba ResumoDirect numerical simulation results are used to study compressibility effects on turbulent energy growth in homogeneous shear flow. Normalized amplitude of the pressure fluctuations is shown to decrease as the turbulent Mach number increases. This decrease causes the reduction in the pressurestrain term, changes the anisotropy of the Reynolds stress, and reduces the growth rate of turbulent kinetic energy as is the case of mixing layers. The transport equation for the pressure variance is examined in detail. It is shown that when the turbulent Mach number is high the pressurevariance dissipation term is not negligible and contributes to the reduction in the pressure fluctuations. The pressurevariance dissipation is closely related to the highwavenumber part of the pressurevariance spectrum. Profile of the spectrum is observed to depend on the turbulent Mach number. A statistical theory is applied to obtain model expressions for the pressurevariance dissipation and the pressuredilatation correlation. 