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arXiv · 1011.0897

Efficient numerical stability analysis of detonation waves in ZND

Jeffrey Humpherys·Kevin Zumbrun
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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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Jeffrey Humpherys, Kevin Zumbrun. 2010-11-03. Efficient numerical stability analysis of detonation waves in ZND. https://doi.org/10.1090/s0033-569x-2012-01276-x

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