ESTIMATION OF THE LINEAR TRANSIENT GROWTH OF PERTURBATIONS OF CELLULAR FLAMES

DOI10.1142/S0218202504003593zbMath1185.76595arXivphysics/0312095OpenAlexW2152469637MaRDI QIDQ5315617

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Publication date: 9 September 2005

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/0312095

zbMATH Keywords

pseudospectracellular flameshydrodynamic flame instabilitynonmodal amplificationNonnormal operator

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Interfacial stability and instability in hydrodynamic stability (76E17) Combustion (80A25)

Related Items (3)

Turbulent propagation of premixed flames in the presence of Darrieus–Landau instability ⋮ Nonlinear dynamics of premixed flames: from deterministic stages to stochastic influence ⋮ The rate of expansion of spherical flames

Uses Software

• eigs
• ARPACK
• Eigtool

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• High accuracy periodic solutions to the Sivashinsky equation
• Large-Scale Computation of Pseudospectra Using ARPACK and Eigs
• Hydrodynamic Stability Without Eigenvalues
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Instability of pole solutions for planar propagating flames in sufficiently large domains
• Computation of Pseudospectra by Continuation
• Pseudospectra of Linear Operators
• On model evolution equations for the whole surface of three-dimensional expanding wrinkled premixed flames
• Stability of Pole Solutions for Planar Propagating Flames: I. Exact Eigenvalues and Eigenfunctions
• Pseudospectra of the Orr–Sommerfeld Operator

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