Front Tracking at AMS

Front Tracking at Stony Brook

Front Tracking is a numerical method for the solution of partial differential equations whose solutions have discontinuities. These discontinuities can be boundaries between different materials, shock waves, or even more exotic structures. Conservation laws are good examples of such partial differential equations: discontinuities may form spontaneously and persist. The Euler equation describing the motion of "dry" water, is an example of a conservation law.

Basic References

  1. (CheGliMcB86) I-L. Chern and J. Glimm and O. McBryan and B. Plohr and S. Yaniv, Front Tracking for Gas Dynamics, J. Comput. Phys., V 62, 83--110, 1986.
  2. (GliGroLin88) J. Glimm and J. Grove and W. B. Lindquist and O. McBryan and G. Tryggvason, The Bifurcation of Tracked Scalar Waves, SIAM J. of Comp, V 9, 61--79, 1988.
  3. (GliKliMcB85) J. Glimm and C. Klingenberg and O. McBryan and B. Plohr and D. Sharp and S. Yaniv, Front Tracking and Two-Dimensional {Riemann} Problems, Adv. Appl. Math., V 6, 259--290, 1985.
  4. (GliMcB85) J. Glimm and O. McBryan, A Computational Model for Interfaces, Adv. Appl. Math., V 6, 422-435, 1985.
  5. (Gro94) J. W. Grove, Applications of Front Tracking to the Simulation of Shock Refractions and Unstable Mixing, J. Appl. Num. Math.", V 14, 213--237, 1994. PostScript Version
  6. (Bos95), Brian Boston, PhD Thesis, Front Tracking of Complex Wave Interactions SUNSYB, May 1995, PostScript Version

Technical References

  1. "Some Notes on SESAME", Tabular Equation of State, by Santiago Simanca.
    Postscript Version, PDF Version.
  2. "Adaptive Mesh Class Reference", A Guide to AMR, by Len Brin.
    Postscript Version,

Many more papers can be found off our preprint server.


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Authors: Santiago Simanca, Folkert Tangerman
Last revision: August 29, 1997

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