Development of a Three-Dimensional Air Blast Propagation Model Based Upon the Weighted Average Flux Method

Abstract

Accurate numerical modeling of complex, multi-dimensional shock propagation is needed for many Department of Defense applications. A three-dimensional code, based upon E.F. Toro's weighted average flux (WAF) method has been developed, tested, and validated. Code development begins with the introduction and application of all techniques in a single dimension. First-order accuracy is achieved via Godunov's scheme using an exact Riemann solver. Adaptive techniques, which employ approximate solutions, are implemented to improve computational efficiency. The WAF method produces second-order accurate solutions, but introduces spurious oscillations near shocks and contact discontinuities. Total variation diminishing (TVD) flux and weight limiting schemes are added to reduce fluctuation severity. Finally, the fully developed one dimensional code is validated against experimental data, and extended into two and three dimensions via dimension-splitting technique.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 2006
Accession Number
ADA450068

Entities

People

  • Stephen R. McHale

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Counter WMD
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Boundary Value Problems
  • Cauchy Problem
  • Computational Fluid Dynamics
  • Computational Science
  • Department Of Defense
  • Differential Equations
  • Euler Equations
  • Fluid Dynamics
  • Fluid Flow
  • Numerical Methods And Procedures
  • Partial Differential Equations
  • Specific Heat
  • Three Dimensional
  • Two Dimensional
  • United States Government

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)