Vortex dynamics and fractal structures in reactive and nonreactive Richtmyer–Meshkov instability

Bambauer, Maximilian; Chakraborty, Nilanjan; Klein, Markus; Haßlberger, Josef

doi:10.1063/5.0047379

Cited by 11 publications

(8 citation statements)

References 55 publications

(42 reference statements)

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“…2015; Bambauer et al. 2020, 2021). The regulations should be extended to some practical applications, and we carry out three-dimensional DNS with multi-mode perturbations and a detailed chemical mechanism of the cylindrical geometry in this paper.…”

Section: Discussionmentioning

confidence: 99%

“…Later, Bambauer et al. (2021) investigated the vortex dynamics and fractal structures in reactive RMI, and confirmed that baroclinic torque is dominant during shock-flame interactions. The interactions of the incident shock wave and combustion waves would result in non-planarity effects from combined RTI and RMI actions (Attal & Ramaprabhu 2015; Zhou 2017 a ).…”

Section: Introductionmentioning

confidence: 91%

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Effect of chemical reaction on mixing transition and turbulent statistics of cylindrical Richtmyer–Meshkov instability

Yan

Wang

et al. 2022

J. Fluid Mech.

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Direct numerical simulations of a three-dimensional cylindrical Richtmyer–Meshkov instability with and without chemical reactions are carried out to explore the chemical reaction effects on the statistical characteristics of transition and turbulent mixing. We adopt 9-species and 19-reaction models of non-premixed hydrogen and oxygen separated by a multimode perturbed cylindrical interface. A new definition of mixing width suitable for a chemical reaction is introduced, and we investigate the spatio-temporal evolution of typical flow parameters within the mixing regions. After reshock with a fuller mixing of fuels and oxygen, the chemical reaction becomes sufficiently apparent at affecting the evolution of the flow fields. Because of the generation of a combustion wave within the combustion regions and propagation, the growth of the mixing width with a chemical reaction is accelerated, especially around the outer radius with large temperature gradient profiles. However, the viscous dissipation rate in the early stage of the chemical reaction is greater because of heat release, which results in weakened turbulent mixing within the mixing regions. We confirm that small-scale structures begin to develop after reshock and then decay over time. During the developing process, helicity also begins to develop, in addition to kinetic energy, viscous dissipation rate, enstrophy, etc. In the present numerical simulations with cylindrical geometry, the fluctuating flow fields evolve from quasi-two-dimensional perturbations, and the generations of helicity can capture this transition process. The weakened fluctuations during shock compression can be explained as the inverse energy cascade, and the chemical reaction can promote this inverse energy cascade process.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 91%

Effect of chemical reaction on mixing transition and turbulent statistics of cylindrical Richtmyer–Meshkov instability

Yan

Wang

et al. 2022

J. Fluid Mech.

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“…Choosing the channel cross-section for normalization , the normalized flame surface area can be interpreted as a wrinkling factor, which is of a pivotal importance for the closure of the reactive source term in under-resolved simulation approaches. The development of the normalized flame surface area can be described in two phases 18 . The first phase, following the initial shock flame interaction, is dominated by the effects of flame thickness, where the thinner stoichiometric flame is more susceptible to flame wrinkling than the thicker lean flame.…”

Section: Resultsmentioning

confidence: 99%

“…High-fidelity simulation data of shock-flame interactions of a planar shock wave interacting with a statistically planar /air flame in a rectangular channel is used to study the temporal development and topology of flame self interactions (FSI) occurring due to RMI. The equivalence ratio is found to be a major influencing factor on the FSI as it affects the flame thickness and reactivity 17 , 18 . At early stages of the RMI, after the first shock flame interaction, a slight increase in FSI can be detected for the stoichiometric case ( ), as its relatively thinner flame front allows for a higher amount of flame distortion compared to the lean ( ) case.…”

Section: Discussionmentioning

confidence: 99%

Surface topologies and self interactions in reactive and nonreactive Richtmyer–Meshkov instability

Bambauer

Haßlberger

Ozel-Erol

et al. 2023

Sci Rep

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The reactive Richtmyer–Meshkov instability (RMI) exhibits strong wrinkling of a reactive flame front after an interaction with a shock wave. High levels of deformation and wrinkling can cause the flame surface to intersect with itself, leading to the events of flame self interactions (FSI). As FSI can have a significant influence on the development and topology of the flame surface, it should be considered an important factor affecting the burning characteristics of the flame. The topological structure and statistics of FSI are analyzed using data from high-fidelity simulations of a planar shock wave interacting with a statistically planar hydrogen/air flame for stoichiometric, lean and nonreactive gas mixtures. FSI events are detected by searching for critical points in the field of the reaction progress variable c and divided into the following topological categories: burned gas mixture pocket (BP), unburned gas mixture pocket (UP), tunnel formation (TF) and tunnel closure (TC). It is found that reactivity and flame thickness are decisive factors, influencing the frequency and topological distribution of the detected FSI events. While in early RMI-stages the FSI is found to be mainly dependent on the flame thickness, later stages are heavily influenced by the reactivity, as high reactivity quickly burns out emerging wrinkled structures (in the stoichiometric case) leading to massively reduced levels of FSI. The findings are further supported by the results from the nonreactive case, which at later stages of the RMI closely resembles the less reactive lean case. Analysis of the topology distribution over time and conditioned over c, reveals further differences between the lean and stoichiometric case, as the strong wrinkling and mixing encountered with the lean case facilitates the build up of many pocket-type and tunnel-type interactions throughout the wrinkled flame front. For the stoichiometric case, mainly tunnel-type and unburned pocket topologies are found in the narrow flame funnels extending into the burned gas.

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“…This enthusiastic response is another indication of the respect Ted O'Brien has within the international research community of turbulence and reactive flows. These contributions are on diverse topics including combustion instability, 150,151 scalar mixing, [152][153][154][155][156] homogeneous isotropic turbulence, [157][158][159][160] turbulent premixed flames, [161][162][163][164][165][166][167][168][169][170][171] turbulent non-premixed flames, [172][173][174][175] wallbounded turbulence, [176][177][178] turbulent combustion modeling, [179][180][181] FDF/PDF, [182][183][184][185][186][187][188][189][190][191][192] and two-phase turbulent flows. [193][194][195][196]<...…”

Section: Organization Of This Simentioning

confidence: 99%

Edward E. O'Brien contributions to reactive-flow turbulence

2021

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Professor Edward Ephraim O'Brien ("Ted") has made lasting contributions to the theory and modeling of scalar mixing and reaction in turbulent flows. With a doctoral dissertation at The Johns Hopkins University in 1960, entitled "On the Statistical Behavior of a Dilute Reactant in Isotropic Turbulence," supervised by the legend Stanley Corrsin, and in the company of notable pioneer of turbulence, John Leask Lumley, Ted's academic training propelled him through a prolific career. In the opening article of this Special Issue, we provide a review of some of Ted's contributions. First, a summary is presented of his work on the examination of the failure of the cumulant discard approximation for the scalar mixing. This is followed by a highlight of his impacts on other spectral theories of turbulence including Kraichnan's direct interaction approximation. His contributions to more modern theoretical/computational description of reactive turbulence are discussed next, including the transported probability density function (pdf) formulation, scalar-gradient pdf transport equation, scalar interfaces, and the filtered density function. Finally, some of his research on Direct Numerical Simulation of compressible turbulence is reviewed.

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Vortex dynamics and fractal structures in reactive and nonreactive Richtmyer–Meshkov instability

Cited by 11 publications

References 55 publications

Effect of chemical reaction on mixing transition and turbulent statistics of cylindrical Richtmyer–Meshkov instability

Effect of chemical reaction on mixing transition and turbulent statistics of cylindrical Richtmyer–Meshkov instability

Surface topologies and self interactions in reactive and nonreactive Richtmyer–Meshkov instability

Edward E. O'Brien contributions to reactive-flow turbulence

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