An Analysis of an Implicit Factored Scheme for Simulating Shock Waves

Abstract

A detailed derivation and analysis of an implicit factored scheme is given. A one dimensional shock tube problem is solved numerically using the factored scheme. The results and exact solution are presented for this problem. An analysis of the features of the method is made and the limitations of this implicit factored scheme for more general applications to shock waves in solids are discussed. An alternative approach appears to have wider applicability than the method studied here. Keywords: Shock waves; Finite difference algorithms; Simulation, Australia.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1988
Accession Number
ADA198986

Entities

People

  • M. B. Tyndall

Organizations

  • Defence Science and Technology Group

Tags

DTIC Thesaurus Topics

  • Artificial Intelligence
  • Boundaries
  • Cauchy Problem
  • Eigenvalues
  • Equations
  • Equations Of State
  • Euler Equations
  • Explosives
  • Flow
  • Fluid Flow
  • Ideal Gas Law
  • Materials
  • Physical Properties
  • Shock Tubes
  • Shock Waves
  • Tubes
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Combustion Dynamics and Shock Wave Physics.
  • Fluid Dynamics.