Development of a Two-Dimensional Implicit Interior Ballistics Code

Abstract

The governing partial differential equations and constitutive relations are presented for the two-phase, axisymmetric, turbulent flow in a gun tube with a rotating projectile. The formulation included the following constitutive models: Noble-Abel gas equation of state, molecular viscosity and thermal conductivity, turbulent viscosity and length scale, intergranular stress relation, interphase drag and heat transfer relations, and a burning rate correlation for solit phase combustion. The existing computer code ALPHA has been modified to include both an ignition model and capability to treat geometries in which the tube radius is a function of axial distance. The governing equations in the ALPHA code were reformulated in strong conservation form by application of a Jacobian transformation to the equations in cylindrical polar coordinates, and a consistent technique for determination of the local time-dependent Jacobian determinant of the coordinate transformation was implemented. The governing equations, constitutive relations and the time- dependent coordinate system developed herein have been incorporated into an existing computer code which solves the three-dimensional time-dependent compressible Navier-Stokes equations using a consistently split, linearized, block-implicit numerical scheme. The computer code developed under this effort has been designated as the ALPHA2 code.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1981
Accession Number
ADA100276

Entities

People

  • Henry Mcdonald
  • Howard J. Gibeling

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Boundary Layer
  • Burning Rate
  • Computational Fluid Dynamics
  • Differential Equations
  • Energy Transfer
  • Equations
  • Erosive Burning
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Geometry
  • Heat Transfer
  • Mass Transfer
  • Mechanical Properties
  • Mechanics
  • Reynolds Number

Readers

  • Computational Fluid Dynamics (CFD)
  • ballistics.