Efficient numerical stability analysis of detonation waves in ZND
arXiv:1011.0897 · doi:10.1090/S0033-569X-2012-01276-X
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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Cited by in corpus (10)
- Numerical error analysis for Evans function computations: a numerical gap lemma, centered-coordinate methods, and the unreasonable effectiveness of continuous orthogonalization
- Linear stability analysis of detonations via numerical computation and dynamic mode decomposition
- Spectral stability of noncharacteristic isentropic Navier-Stokes boundary layers
- Viscous hyperstabilization of detonation waves in one space dimension
- High-frequency asymptotics and 1-D stability of ZND detonations in the small-heat release and high-overdrive limits
- Stability of viscous detonations for Majda's model
- Stability of hydraulic shock profiles
- A numerical stability investigation of strong ZND detonations for Majda's model
- A minimal hyperbolic system for unstable shock waves
- Stability of detonations in the ZND limit