Analysis of Different Approaches to Modeling of the Nozzle Flows in the Near Continuum Regime

Abstract

A conical nozzle flow is studied for Reynolds numbers 1,230 and 12,300 using different numerical techniques: the direct simulation Monte Carlo method, the solution of Navier-Stokes equations that accounts for wall temperature jump and velocity slip, and statistical and deterministic approaches for the BGK equation. Detailed comparison of the efficiency, stability, accuracy, and convergence of the employed numerical techniques provides better understanding of their benefits and deficiencies, and assists in selecting the most appropriate technique for a particular nozzle and flow application. The deterministic solution of the BGK equation was found to be in good agreement with the benchmark DSMC results, while there were some differences observed between the statistical BGK and DSMC. The Navier-Stokes solution differs from DSMC in the boundary layer. The DSMC was shown to be the more computationally efficient than the solution of the BGK equation, both statistical and deterministic.

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Document Details

Document Type
Technical Report
Publication Date
Dec 21, 2007
Accession Number
ADA489506

Entities

People

  • D. A. Levin
  • E. V. Titov
  • N. E. Gimelshein
  • S. F. Gimelshein

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Air Force Research Laboratories
  • Boundaries
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Conical Nozzles
  • Equations
  • Fluid Dynamics
  • Gas Dynamics
  • Monte Carlo Method
  • Navier Stokes Equations
  • Nozzles
  • Numerical Analysis
  • Physics Laboratories
  • Reynolds Number
  • Simulations

Readers

  • Computational Modeling and Simulation
  • Fluid Dynamics.