Computation of Planar Store Trajectories Using an Adaptive Grid Procedure.

Abstract

The objective of this research was to compare a quasi-analytical, potential flow/three-degree-of-freedom model to an implicit-Euler algorithm for the calculation of store trajectories. The implicity algorithm uses a cell- centered, finite-volume, spatial discretization applied to the Euler equations, written in time-dependent, curvilinear-coordinates. A flux-differencing Roe scheme is employed to find the split-fluxes and the Steger/Warming flux-vector method is used to calculate the flux-Jacobians. The potential flow and implicit- Euler algorithm are combined with a three-degree-of-freedom algorithm to evaluate the planar, freefall trajectories of a simple store shape. The research uses two different grid-modification techniques in the implicit algorithm evaluation. Data collected for both grids used the minimum time-step in the three-degree-of-freedom algorithm for a Courant number of 10. Two test cases involved updating the flux-Jacobians after every time-step and only once during every 1000 iterations. The effect of multiplying the minimum time-step by factors of 2, 4, 6, 8, 10, and 100 were also examined. The potential flow and implicit algorithm trajectories didn't compare very closely. The various Delta t and Jacobian-update results matched rather closely.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1991
Accession Number
ADA243915

Entities

People

  • William D. Hack

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Cartesian Coordinates
  • Compressible Flow
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Euler Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Grids
  • Hydrodynamics
  • Test And Evaluation
  • Wind Tunnels

Fields of Study

  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Operations Research