Efficient numerical stability analysis of detonation waves in ZND
Numerical Analysis
2017-06-09 v1
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.
Cite
@article{arxiv.1011.0897,
title = {Efficient numerical stability analysis of detonation waves in ZND},
author = {Jeffrey Humpherys and Kevin Zumbrun},
journal= {arXiv preprint arXiv:1011.0897},
year = {2017}
}