# Accession Number:

## ADA209703

# Title:

## Numerical Simulation of Control of Supersonic Shear Layers

# Descriptive Note:

## Semi-annual progress rept. 1 Dec 1988-31 May 1989

# Corporate Author:

## GEORGIA INST OF TECH ATLANTA SCHOOL OF AEROSPACE ENGINEERING

# Personal Author(s):

# Report Date:

## 1989-05-31

# Pagination or Media Count:

## 31.0

# Abstract:

The objective of the present research is to investigate the stability and growth characteristics of 2-D and 3-D supersonic free shear layers through direct numerical solution of the 3-D compressible viscous flow equations. An explicit time marching method, patterned after the well known MacCormack scheme is used to integrate the 2-D and 3-D Navier-Stokes equations in time, on a stretched Cartesian grid. The flow being studied consists of shear layers formed at the juncture of two parallel streams at different Mach numbers, densities and temperatures. Assuming an initial velocity, density and temperature distribution at an upstream location, the mean steady flow characteristics of the shear layer are first computed. This is done by marching in time, until an asymptotically steady state solution for the mean flow is obtained. Next, acoustic disturbances composed of streamwise, normal or spanwise sinusoidal velocity perturbations at known frequencies are imposed on the shear layer. The limit cycle behavior of the shear layer is then computed by carrying out the calculations for several cycles of the imposed disturbance. The computed flow field properties are post- processed using standard graphics, techniques to obtain vorticity, pressure and density plots, velocity and Mach numbers of eddies, the Fourier spectrum of the velocity and pressure field at a number of locations within the shear layer and so on.

# Descriptors:

- *FLOW FIELDS
- *TIME SERIES ANALYSIS
- *NAVIER STOKES EQUATIONS
- *SHEAR PROPERTIES
- *SUPERSONIC FLOW
- *STEADY FLOW
- *EDDIES(FLUID MECHANICS)
- VORTICES
- CYCLES
- SPECTRA
- SOLUTIONS(GENERAL)
- PRESSURE
- GRAPHICS
- ACOUSTICS
- MACH NUMBER
- MEAN
- PARALLEL ORIENTATION
- SUPERSONIC CHARACTERISTICS
- PLOTTING
- FOURIER ANALYSIS
- NUMERICAL ANALYSIS
- LAYERS
- DISTRIBUTION
- POSITION(LOCATION)
- DENSITY
- STEADY STATE
- MATHEMATICAL MODELS
- THERMAL PROPERTIES

# Subject Categories:

- Fluid Mechanics