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Assessment of flamelet/progress variable methods for supersonic combustion

Journal Article · · Proceedings of the Combustion Institute
 [1];  [2];  [3]
  1. California Institute of Technology (CalTech), Pasadena, CA (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
  2. California Institute of Technology (CalTech), Pasadena, CA (United States); Univ. of New Brunswick, Fredericton NB (Canada)
  3. California Institute of Technology (CalTech), Pasadena, CA (United States)
+ Show Author Affiliations
Tabulated chemistry models, including the flamelet/progress variable approach, have been successfully used for a variety of turbulent flame simulations. The progress variable describes the progress of reactions in a system and parameterizes a lookup table of thermochemical variables. This approach reduces the cost of simulations, transporting only one scalar (progress variable) instead of the many species mass fractions required for detailed chemistry. Originally developed for low Mach number flame simulations, recent works have focused on extensions of this approach to compressible flames, supersonic combustion, and detonations, with applications such as scramjet combustors and rotating detonation engines. Unlike low Mach simulations, compressible flow simulations require solving the energy transport equation, which is coupled to the equation of state. This leads to additional modeling challenges regarding the thermodynamics and its impact on the chemistry. The validity of modeling assumptions, for example the relationship between energy and temperature, also varies with the combustion regime. The present work provides a detailed assessment of the existing strategies for chemistry tabulation for compressible/supersonic combustion, including detonations. A priori analysis indicates that approximations which are reasonable for weakly compressible flames may break down for shock-induced combustion. Furthermore, the analysis identifies specific assumptions and approximations that do not hold for detonations, emphasizing that care must be taken when applying tabulated chemistry models outside their intended combustion regimes.
Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
AC52-07NA27344; SC0021110
OSTI ID:
2587989
Report Number(s):
LLNL--JRNL-2004828
Journal Information:
Proceedings of the Combustion Institute, Journal Name: Proceedings of the Combustion Institute Vol. 41; ISSN 1540-7489
Publisher:
Elsevier BVCopyright Statement
Country of Publication:
United States
Language:
English

References (16)

Numerical investigation of turbulent hydrogen combustion in a SCRAMJET using flamelet modeling journal October 2000
A general flamelet transformation useful for distinguishing between premixed and non-premixed modes of combustion journal March 2009
An improved H2/O2 mechanism based on recent shock tube/laser absorption measurements journal April 2011
An efficient flamelet-based combustion model for compressible flows journal March 2015
Influence of the chemical modeling on the quenching limits of gaseous detonation waves confined by an inert layer journal August 2020
Tabulated chemistry approach for detonation simulations journal February 2025
Two-step chemical-kinetic descriptions for hydrocarbon–oxygen-diluent ignition and detonation applications journal January 2005
Low-dimensional manifolds in direct numerical simulations of premixed turbulent flames journal January 2007
Coupling tabulated chemistry with compressible CFD solvers journal January 2011
Large eddy simulations of the HIFiRE scramjet using a compressible flamelet/progress variable approach journal January 2015
Reproducing curvature effects due to differential diffusion in tabulated chemistry for premixed flames journal January 2019
Capturing differential diffusion effects in large eddy simulation of turbulent premixed flames journal January 2024
Progress-variable approach for large-eddy simulation of non-premixed turbulent combustion journal January 1999
Detonation wave diffraction in stoichiometric C2H4/O2 mixtures using a global four-step combustion model journal October 2022
Nonidealities in Rotating Detonation Engines journal January 2023
Consistent Coupling of Compressibility Effects in Manifold-Based Models for Supersonic Combustion journal February 2024

Figures / Tables (8)

Table 1(p. 6)table Table 1
Fig. 7(p. 9)figure Fig. 7
Fig. 5(p. 8)figure Fig. 5
Fig. 2(p. 6)figure Fig. 2
Fig. 1(p. 4)figure Fig. 1
Fig. 4(p. 8)figure Fig. 4
Fig. 3(p. 7)figure Fig. 3
Fig. 6(p. 9)figure Fig. 6

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Related Subjects

Detonations
Flamelets
Supersonic combustion
Tabulated chemistry