AMR Simulation of Unsteady Flames
We are involved in the development of techniques to conduct simulations of
laboratory-sized flames on block-structured adaptive meshes. Using detailed chemistry e.g.
GRI 1.2 for methane combustion is a particular requirement. Our particular approach
involves efficient implementation (load balanced)
higher-order formulations for low Mach number DNS with AMR and distributed
pressure solvers. Domains of 10 cm per side and a resolution of 10 microns are
considered representative of the problems being targetted. The techniques will
be implemented in software and distributed as a part of the CFRFS Toolkit.
One of the uses of such an infrastructure are studies
of the stability of jet diffusion flames
under vortical perturbation. A figure from an older simulation is shown here.
The simulations solve the low Mach number Navier-Stokes
equations in a Nitrogen - diluted environment. Global chemisty is used for
the flame. The numerical method in an Adaptive Lagrangian-Eulerian construction
with Lagrangian vortex methods for the momentum equations. The scalar equations
are solver on an Adaptive Eulerian Mesh (AMR, Berger & Collela, J. Comp.
Phys. 82:64-84, 1989). A typical domain in 10cm X 10cm. Spatial resolutions
of 25 microns have been achieved, with detailed chemistry. (Ray et al.,
Proc. Combust. Inst., 2000)
The software associated with this project appears
here .
Some of our publications in this field are given below.
Journals
- J. Ray, C. A. Kennedy, S. Lefantzi and H. N. Najm,
"Using high-order methods on adaptively refined block-structured meshes -
derivatives, interpolations, and filters", SIAM Journal on Scientific
Computing, 2007, 29(1):139-181. An older version is available as
Sandia Technical Report SAND2005-7981
here . The library of high-order discretizations described in this paper can be downloaded
here .
- J. C. Lee, H. N. Najm, S. Lefantzi, J. Ray and M. Frenklach, M. Valorani and
D. Goussis, "A CSP and Tabulation Based Adaptive Chemistry Model",
Combustion Theory and Modeling, 2007, 11(1):73-102.
- L. C. McInnes, B. A. Allan, R. Armstrong, S. J. Benson, D. E. Bernholdt,
T. L. Dahlgren, L. F. Diachin, M. Krishnan, J. A. Kohl, J. W. Larson, S. Lefantzi,
J. Nieplocha, B. Norris, S. G. Parker, J. Ray and S. Zhou, "Parallel PDE-Based
Simulations Using the Common Component Architecture."
Chapter in Numerical Solution of Partial Differential Equations on Parallel
Computers, 2005, Editors: A. M. Bruaset, P. Bjorstad, and A. Tveito,
Lecture Notes in Computational Science and Engg., (51), Springer.
- Sophia Lefantzi, Jaideep Ray, Christopher A. Kennedy and Habib Najm,
"A Component-based Toolkit for Simulating Reacting Flows with High Order Spatial
Discretizations on Structured Adaptively Refined Meshes."
Progress in Computational Fluid Dynamics, 2005, 5(6):298-315.
Download draft version here.
- C. C. Douglas, J. Hu, J. Ray, D. T. Thorn, and R. Tuminaro,
"Cache aware multigrid for variable coefficient elliptic problems on adaptive mesh
refinement hierarchies, " Numerical Linear Algebra and Applications
, 11:173-187, 2004.
- J.Ray, H.N. Najm, R.B. Milne, K.D. Devine and S. Kempka, "Triple
Flame Structure and Dynamics at the Stabilization Point of an Unsteady
Lifted Jet Diffusion Flame," Proc. Combust. Inst.
2000, 25(1):219-226
Conferences
- Jaideep Ray, C. Kennedy, J. Steensland and H. Najm, "Advanced Algorithms for Computations
on Block-Structured Adaptively Refined Meshes," Journal of Physics:
Conference Series, 2005, 16:113-118. Download
here
- J. C. Lee, H. N. Najm, S. Lefantzi, J. Ray, M. Frenklach, M. Valorani and D. A. Goussis,
"An Adaptive Reduced--Order Chemical Model", 20th International Colloquium on the
Dynamics of Explosions and Reactive Systems , July 31st to August 5th, 2005, Montreal, Canada.
- J. C. Lee, H. N. Najm, S. Lefantzi, J. Ray, M. Frenklach, M. Valorani and D. A. Goussis,
"The Role of Explosive Modes in Homogeneous Ignition and Premixed Flames",
20th International Colloquium on the
Dynamics of Explosions and Reactive Systems , July 31st to August 5th, 2005, Montreal, Canada.
- J.C. Lee, H.N. Najm, S. Lefantzi, J. Ray, M. Frenklach, M. Valorani, and D.A. Goussis,
"On chain branching and its role in homogeneous ignition and premixed flame
propagation", Third MIT Conference on Computational Fluid and Solid Mechanics,
June 14-17, 2005, Cambridge, MA.
- Sophia Lefantzi, Christopher A. Kennedy, Jaideep Ray and Habib N. Najm,
"A study of the effect of higher order spatial discretizations in SAMR (Structured
Adaptive Mesh Refinement) simulations", Proceedings of the Fall Meeting of the
Western States Section of the The Combustion Institute, October 20--21, 2003,
Los Angeles, CA. Paper distributed via CD-ROM, also
here
- Sophia Lefantzi and Jaideep Ray,
"A Component-based Scientific Toolkit for Reacting Flows",
Proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics,
Boston, Mass. 2003.
- S. Lefantzi, J. Ray and H. N. Najm, "Using the Common Component Architecture
to Design High Performance Scientific Simulation Codes," Proceedings of
the International Parallel and Distributed Processing Symposium,
April 2003, Nice, France (distributed via a conference CD; also
here)
- R.B. McCoy, H.N. Najm and J. Ray,
"Shear layer effect on edge flame structure in a non-premixed methane-air flame"
Proceedings of Third Joint Meeting of the U.S. Sections of the Combustion Institute
Chicago, USA, March 2003. Paper discributed via Comb. Inst. CD, also
here
- Jaideep Ray, C.A. Kennedy, Sophia Lefantzi and H.N. Najm,
" High-order spatial discretizations and extended stability methods for reacting
flows on structured adaptively refined meshes ",
Proceedings of Third Joint Meeting of the U.S. Sections of the Combustion Institute
Chicago, USA, March 2003. Paper discributed via Comb. Inst. CD, also
here
- J. Ray, S.Lefantzi and H. Najm, " Using the Common Component Architecture to
Design Simulation Codes, " presented at SIAM, Computational Science Conference,
San Diego, CA, January 2003. Download presentation
here.
- Craig C. Douglas, Jonathan Hu, Jaideep Ray, Danny Thorne and Ray Tuminaro,
"Fast, Adaptively Refined Computational Elements in 3D,"
presented at 2002 International Conference on Computational Science, Part III,
April 21th to 24th, Amsterdam, Netherlands. Also in Lecture Notes in Comput.
Sc., 2331, pp 774-783, Springer, Berlin, 2002.
- R. B. McCoy, H.N. Najm, Jaideep Ray, J.E. Rehms and P.H. Paul,
"Edge flame structure in non-premixed methane-air jet," at the
Western States Symposium of the Combustion Institute, University of
California, La Jolla, CA, March 25th and 26th, 2002 (paper distributed via Comb.
Inst. CD, also here ).
- Jaideep Ray, H.N. Najm and R.B. McCoy,
"Ignition front structure in a methane-air jet," presented
at the Second Joint Meeting of the U.S. Section of the Combustion Institute,
Oakland, CA. March 25th to 28th, 2001 (paper distributed via Comb. Inst. CD, also
here ).
- Jaideep Ray, H.N. Najm and R.B. Milne,
"Adaptive Lagrangian-Eulerian Reacting Flow Modeling" presented at
the Second SIAM Numerical Combustion Meeting Amelia Island, FL.
February 2000.
Created by Jaideep Ray