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The extension of the ILDM concept to reaction–diffusion manifolds
Viatcheslav Bykov,Ulrich Maas +1 more
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In this paper, the method of simplifying chemical kinetics based on Intrinsic Low-Dimensional Manifolds (ILDMs) is modified to deal with the coupling of reaction and diffusion processes.Abstract:
In the present work, the method of simplifying chemical kinetics based on Intrinsic Low-Dimensional Manifolds (ILDMs) is modified to deal with the coupling of reaction and diffusion processes. Several problems of the ILDM method are overcome by a relaxation to an invariant system manifold (Reaction–Diffusion Manifold – REDIM). This relaxation process is governed by a multidimensional parabolic partial differential equation system, where, as an initial solution, an extended ILDM is used. Furthermore, a method for the solution and tabulation of the manifold is proposed in terms of generalized coordinates, with a subsequent procedure for the integration of the reduced system on the found manifold. This modification of the ILDM significantly improves the performance of the concept and allows us to extend its area of applicability. Illustrative comparative calculations of detailed and reduced models of flat laminar flames verify the approach.read more
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Small scales, many species and the manifold challenges of turbulent combustion
TL;DR: A review of the state-of-the-art in modeling turbulent combustion can be found in this article, with a focus on gas-phase, non-premixed flames, and the significant remaining challenges facing models of turbulent combustion are examined.
Journal ArticleDOI
State-of-the-art in premixed combustion modeling using flamelet generated manifolds
van Ja Jeroen Oijen,A Andrea Donini,Rjm Rob Bastiaans,ten Jhm Jan Thije Boonkkamp,de Lph Philip Goey +4 more
TL;DR: In this paper, the generalized flamelet model is used for the modeling of premixed and partially-premixed flames, and the results compare well with numerical results for flames with thin reaction layers, but described by multiple-species transport and chemistry.
Journal ArticleDOI
Multidimensional flamelet-generated manifolds for partially premixed combustion
TL;DR: In this article, a projection of the full set of mass conservation species balance equations into a restricted subset of the composition space was derived from first principles, under given hypotheses, for partially premixed combustion, where the tangential strain rate of scalar isosurfaces is expressed in the form of the scalar dissipation rates of the control parameters.
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A tabulated chemistry method for spray combustion
Benedetta Franzelli,Benedetta Franzelli,Benoit Fiorina,Benoit Fiorina,Nasser Darabiha,Nasser Darabiha +5 more
TL;DR: In this article, the Partially-Premixed Flamelet Tabulation 2PFT (PFT2PFT) method is proposed to model the chemical subspace accessed by a two-phase reactive flow.
Modeling combustion chemistry in large eddy simulation of turbulent flames
TL;DR: A review of commonly-used approaches to address fluid/chemistry interactions at a reduced computational cost is presented in this paper, where the problem of coupling chemistry with large eddy simulations of turbulent combustion is considered.
References
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The Mathematica Book
TL;DR: Mathematica has defined the state of the art in technical computing for over a decade, and has become a standard in many of the world's leading companies and universities as discussed by the authors.
The Mathematica book
TL;DR: From the Publisher: Mathematica has defined the state of the art in technical computing for over a decade, and has become a standard in many of the world's leading companies and universities.
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Geometric singular perturbation theory for ordinary differential equations
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Partial differential equations
TL;DR: In this article, the authors focus on the quasilinear PDEs of second order, where the second derivatives of u appear in linear order only (i.e., in linear time).
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