2015
DOI: 10.1016/j.jcp.2015.04.037
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A computational approach to flame hole dynamics using an embedded manifold approach

Abstract: We present a new numerical algorithm for tracking the evolution of flame holes in diffusion flames. The key element is the solution of an evolution equation for a flame state field defined on a complex moving surface. The surface itself can evolve in time and is defined implicitly as a level set of an associated Cartesian scalar field. The surface coordinates, or parameterization, do not need to be determined explicitly. Instead, the numerical method employs an embedding technique where the evolution equation … Show more

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Cited by 4 publications
(3 citation statements)
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“…Edge flames have also been studied in other contexts, such as weakly curved premixed flames in stratified mixtures [4][5][6][7] and in strained mixing layers in premixed [8][9][10][11] and nonpremixed [12,13] systems, and have been addressed in a number of model problems [14][15][16]. They are also relevant to studies of turbulent diffusion flames acting as an agent for reestablishing combustion in a hole formed on the flame surface [17]. Although they share some common features with edge flames examined in the present article, the mathematical problems are fundamentally different.…”
Section: Introductionmentioning
confidence: 99%
“…Edge flames have also been studied in other contexts, such as weakly curved premixed flames in stratified mixtures [4][5][6][7] and in strained mixing layers in premixed [8][9][10][11] and nonpremixed [12,13] systems, and have been addressed in a number of model problems [14][15][16]. They are also relevant to studies of turbulent diffusion flames acting as an agent for reestablishing combustion in a hole formed on the flame surface [17]. Although they share some common features with edge flames examined in the present article, the mathematical problems are fundamentally different.…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, edge-flames are an important aspect of premixed flame stabilization in shear layers [4]. Additionally, edge-flame libraries could potentially extend flamelet models of turbulent combustion, which assume unbroken flame surfaces, to conditions involving local quenching [5].…”
Section: Introductionmentioning
confidence: 99%
“…Local extinction has been also a topic of numerical studies. A number of studies reported the importance of the scalar dissipation rate on the local extinction [10][11][12][13].…”
Section: Introductionmentioning
confidence: 99%