Efficient numerical stability analysis of detonation waves in ZND

Humpherys, Jeffrey; Zumbrun, Kevin

doi:10.1090/S0033-569X-2012-01276-X

Authors: Jeffrey Humpherys and Kevin Zumbrun
Journal: Quart. Appl. Math. 70 (2012), 685-703
MSC (2000): Primary 76E99; Secondary 76L05
DOI: https://doi.org/10.1090/S0033-569X-2012-01276-X
Published electronically: June 20, 2012
MathSciNet review: 3052085
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Abstract: As described in the classic works of Lee–Stewart and Short–Stewart, the numerical evaluation of linear stability of planar detonation waves is a computationally intensive problem of considerable interest in applications. Reexamining this problem from a modern numerical Evans function point of view, we derive a new algorithm for their stability analysis, related to a much older method of Erpenbeck, that, while equally simple and easy to implement as the standard method introduced by Lee–Stewart, appears to be potentially faster and more stable.

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