Viscous detonation in H<sub>2</sub>‒O<sub>2</sub>‒Ar using intrinsic low-dimensional manifolds and wavelet adaptive multilevel representation

Singh, Sandeep; Rastigejev, Yevgenii; Paolucci, Samuel; Powers, Joseph M.

doi:10.1088/1364-7830/5/2/303

Cited by 48 publications

(53 citation statements)

References 26 publications

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“…To overcome this drawback, methods have been proposed (see e.g. [24,[29][30][31][32][33][34][35][36][37][38][39]) which include transport processes. The results show, that it is possible to find lowdimensional manifolds even in the regions of slow chemistry.…”

Section: Timescale Analysesmentioning

confidence: 99%

Investigation of the Dynamical Response of Methane/Air Counterflow Flames to Inflow Mixture Composition and Flow Field Perturbations

König

Bykov

Maas

2008

Flow Turbulence Combust

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This work presents an analysis of the response of laminar, stretched, premixed CH 4 -air counterflow flames subject to periodical perturbations of the inflow mixture composition and the flow field in the context of ILDM and REDIM. Investigations of the perturbation propagation show, that the perturbation reaches the flame under certain conditions only; changes of the perturbation due to dissipative processes are investigated. Different methods are applied to gain an in-depth view of the influence of the perturbation on the chemical kinetics, namely correlation analyses of species in state space and timescale and element composition analyses. For the timescale analyses, two methods are applied, the ILDM method and a new concept for timescale analysis within the REDIM method. It is shown, that the perturbation does not change the global behaviour of the chemical kinetics and it is suggested to apply REDIMs for a low-dimensional description of perturbed flames.

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Section: Timescale Analysesmentioning

confidence: 99%

Investigation of the Dynamical Response of Methane/Air Counterflow Flames to Inflow Mixture Composition and Flow Field Perturbations

König

Bykov

Maas

2008

Flow Turbulence Combust

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“…Refinements, applications, and evaluations of the ILDM method against direct numerical simulations can be found in Refs. [1][2][3][4]11,12,37,39,42,47,58,[68][69][70]73,[86][87][88].…”

Section: Many Chemical Reaction Mechanisms In Combustionmentioning

confidence: 99%

Asymptotic analysis of two reduction methods for systems of chemical reactions

Kaper

2002

Physica D: Nonlinear Phenomena

132

127

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This paper concerns two methods for reducing large systems of chemical kinetics equations, namely, the method of intrinsic low-dimensional manifolds (ILDMs) due to Maas and Pope [Combust. Flame 88 (1992) Chem. Phys. 93 (1990) 1072. Both methods exploit the separation of fast and slow reaction time scales to find low-dimensional manifolds in the space of species concentrations where the long-term dynamics are played out. The asymptotic expansions of these manifolds (ε ↓ 0, where ε measures the ratio of the reaction time scales) are compared with the asymptotic expansion of M ε , the slow manifold given by geometric singular perturbation theory. It is shown that the expansions of the ILDM and M ε agree up to and including terms of O(ε); the former has an error at O(ε 2 ) that is proportional to the local curvature of M 0 . The error vanishes if and only if the curvature is zero everywhere. The iterative method generates, term by term, the asymptotic expansion of M ε . Starting from M 0 , the ith application of the algorithm yields the correct expansion coefficient at O(ε i ), while leaving the lower-order coefficients invariant. Thus, after applications, the expansion is accurate up to and including the terms of O(ε ). The analytical results are illustrated on a planar system from enzyme kinetics (Michaelis-Menten-Henri) and a model planar system due to Davis and Skodje.

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“…For Eqs. (9)(10)(11)(12), that describe the steadily propagating laminar premixed flame, the appropriate set of boundary conditions is…”

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confidence: 99%

Verified Computations of Laminar Premixed Flames

Al-Khateeb

Powers

Paolucci

2007

45th AIAA Aerospace Sciences Meeting and Exhibit

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The required spatial discretization to capture all detailed continuum physics in the reaction zone for one-dimensional steady laminar premixed hydrogen-air flames described by detailed kinetics and multi-component transport is accurately estimated a priori by a simple mean free path calculation. To verify this, a robust method has been developed to rigorously calculate the finest length scale a posteriori. The method reveals that the finest length scale is at the micron-level. This result is consistent with an estimate from the underlying molecular collision theory, and orders of magnitude smaller than the discretization scales employed in nearly all multi-dimensional and/or unsteady laminar premixed flame simulations in the literature.

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Viscous detonation in H₂‒O₂‒Ar using intrinsic low-dimensional manifolds and wavelet adaptive multilevel representation

Cited by 48 publications

References 26 publications

Investigation of the Dynamical Response of Methane/Air Counterflow Flames to Inflow Mixture Composition and Flow Field Perturbations

Investigation of the Dynamical Response of Methane/Air Counterflow Flames to Inflow Mixture Composition and Flow Field Perturbations

Asymptotic analysis of two reduction methods for systems of chemical reactions

Verified Computations of Laminar Premixed Flames

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Viscous detonation in H2‒O2‒Ar using intrinsic low-dimensional manifolds and wavelet adaptive multilevel representation

Cited by 48 publications

References 26 publications

Investigation of the Dynamical Response of Methane/Air Counterflow Flames to Inflow Mixture Composition and Flow Field Perturbations

Investigation of the Dynamical Response of Methane/Air Counterflow Flames to Inflow Mixture Composition and Flow Field Perturbations

Asymptotic analysis of two reduction methods for systems of chemical reactions

Verified Computations of Laminar Premixed Flames

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Viscous detonation in H₂‒O₂‒Ar using intrinsic low-dimensional manifolds and wavelet adaptive multilevel representation