Development and Validation of RNG Methodology for Compressible Turbulence

Abstract

All three different categories of tasks described in our AFOSR proposal (Grant 90-0261) were completed successfully: (a) Development of Renormalization Group theory (RNG) for compressible turbulence; (b) Design and Measurements of a compressible boundary layer experiment, and (c) Development of spectral element algorithms for compressible flows. A brief summary follows: On the theoretical side first, the new results obtained for compressible turbulence are: (1) At the large scales the effective sound velocity in compressible turbulence is scale-dependent and obeys a universal equation of state. (2) The effective, scale-dependent Mach number based on the rms value of velocity approaches a fixed point corresponding to effectively subsonic flow. (3) The potential component of the velocity field (sound waves) does not alter the scaling of the energy spectrum of incompressible (rotational) component. This decoupling of events in rotational and compressibility effects suggests that most of the RNG modeling for incompressible flows is also valid for compressible flows as long as compressibility is taken into account.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1993
Accession Number
ADA273469

Entities

People

  • A. Smits
  • G. E. Karniadakis

Organizations

  • Princeton University

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Boundary Layer
  • Compressible Flow
  • Computational Fluid Dynamics
  • Engineering
  • Euler Equations
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Large Eddy Simulation
  • Layers
  • Measurement
  • Mechanical Properties
  • Mechanics
  • Stratified Fluids
  • Supersonic Flow
  • Turbulence
  • Turbulent Boundary Layer

Fields of Study

  • Physics

Readers

  • Aerodynamics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics