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Eulerian computations in domains with moving boundaries

  • Samuel Z. Burstein
  • Eli L. Turkel
Communication
Part of the Lecture Notes in Physics book series (LNP, volume 59)

Abstract

A general technique is described that yields second order accurate solutions for time dependent problems with moving surfaces. Because of the Eulerian formulation, the method is able to handle the interaction of several materials undergoing large distortions. The algorithm is easily changed to allow for different material behavior. Results are presented for a purely elastic problem where wave propagation dominates and for two problems where combined elastic perfectly plastic material flow is important. Extensions to three space dimensions is straight-forward using splitting methods.

Keywords

Elastic Wave Interface Boundary Time Dependent Problem Stress Matrix Plastic Wave 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Burstein, S.Z., Finite Difference Calculations for Hydrodynamic Flows Containing Discontinuities, J. Comp. Phys. Vol. 1, No. 2, 1966.Google Scholar
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    Hopkinson, B., Proc. Roy. Soc., A, 74, 498.Google Scholar
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    Kolsky, H., Stress Waves in Solids, Dover, 1963.Google Scholar
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    Skalak, R., Longitudinal Impact of a Semi-Infinite Circular Elastic Bar, J. Appl. Mech., March 1957.Google Scholar
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    Alterman, Z. and Karal, F.C., Jr, Propagation of Elastic Waves in a Semi-Infinite Cylindrical Rod using Finite Difference Methods, J. Sound Vib. (1970) 13 (2), 115–145MATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • Samuel Z. Burstein
    • 1
  • Eli L. Turkel
    • 1
  1. 1.Courant Institute of Mathematical SciencesUSA

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