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

  1. 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 .


  2. 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.


  3. 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.


  4. 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.


  5. 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.


  6. 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

  1. 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


  2. 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.


  3. 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.


  4. 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.


  5. 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


  6. 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.


  7. 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)


  8. 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


  9. 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


  10. 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.


  11. 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.


  12. 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 ).


  13. 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 ).


  14. 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