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Original Articles

High-order algorithms for compressible reacting flow with complex chemistry

, &
Pages 361-387 | Received 27 Sep 2013, Accepted 23 Apr 2014, Published online: 28 May 2014

References

  • M. Baum, T.J. Poinsot, D.C. Haworth, and N. Darabiha, Direct numerical simulation of H2/O2/N2 flames with complex chemistry in two-dimensional turbulent flows, J. Fluid Mech. 281 (1994), pp. 1–32.
  • J.H. Chen and H. Im, Correlation of flame speed with stretch in turbulent premixed methane/air flames, Proc. Combust. Inst. 27 (1998), pp. 819–826.
  • D.C. Haworth and T.J. Poinsot, Numerical simulations of Lewis number effects in turbulent premixed flames, J. Fluid Mech. 244 (1992), pp. 405–436.
  • K. Jenkins and R. Cant, Direct numerical simulation of turbulent flame kernels, in Recent Advances in DNS and LES, D. Knight and L. Sakell, eds., Fluid Mechanics and Its Applications, Vol. 54, Springer, The Netherlands, 1999, pp. 191–202.
  • T. Poinsot, S. Candel, and A. Trouvé, Applications of direct numerical simulation to premixed turbulent combustion, Prog. Energy Combust. Sci. 21 (1995), pp. 531–576.
  • L. Vervisch and T. Poinsot, Direct numerical simulation of non-premixed turbulent flames, Annu. Rev. Fluid Mech. 30 (1998), pp. 655–691.
  • H. Kolla, R.W. Grout, A. Gruber, and J.H. Chen, Mechanisms of flame stabilization and blowout in a reacting turbulent hydrogen jet in cross-flow, Combust. Flame 159(Special Issue on Turbulent Combustion) (2012), pp. 2755–2766.
  • R. Sankaran, E.R. Hawkes, J.H. Chen, T. Lu, and C.K. Law, Structure of a spatially developing turbulent lean methane–air bunsen flame, Proc. Combust. Inst. 31 (2007), pp. 1291–1298.
  • M. Tanahashi, M. Fujimura, and T. Miyauchi, Coherent fine scale eddies in turbulent premixed flames, Proc. Combust. Inst. 28 (2000), pp. 529–535.
  • C.S. Yoo, E.S. Richardson, R. Sankaran, and J.H. Chen, A DNS study on the stabilization mechanism of a turbulent lifted ethylene jet flame in highly-heated coflow, Proc. Combust. Inst. 33 (2011), pp. 1619–1627.
  • C.A. Kennedy and M.H. Carpenter, Several new numerical methods for compressible shear-layer simulations, Appl. Numer. Math. 14 (1994), pp. 397–433.
  • S.K. Lele, Compact finite difference schemes with spectral-like resolution, J. Comput. Phys. 103 (1992), pp. 16–42.
  • N. Chakraborty and S. Cant, Unsteady effects of strain rate and curvature on turbulent premixed flames in an inflow–outflow configuration, Combust. Flame 137 (2004), pp. 129–147.
  • R. Sankaran, E.R. Hawkes, C.Y. Yoo, J.H. Chen, T. Lu, and C.K. Law, Direct numerical simuation of stationary lean premixed methane–air flames under intense turbulence, in Proceedings of the 5th US Combustion Meeting, Western States Section of the Combustion Institute, March 2007, Paper B09 (CD-ROM).
  • R. Kamakoti and C. Pantano, High-order narrow stencil finite-difference approximations of second-order derivatives involving variable coefficients, SIAM J. Sci. Comput. 31 (2010), pp. 4222–4243.
  • C.A. Kennedy, M.H. Carpenter, and R.M. Lewis, Low-storage, explicit Runge-Kutta schemes for the compressible Navier–Stokes equations, Appl. Numer. Math. 35 (2000), pp. 177–219.
  • T. Poinsot and D. Veynante, Theoretical and Numerical Combustion, 1st ed., R.T. Edwards, Philadelphia, PA, 2001.
  • V. Giovangigli, Multicomponent Flow Modeling, Birkhäuser, Boston, MA, 1999.
  • K.W. Thompson, Time dependent boundary conditions for hyperbolic systems, J. Comput. Phys. 68 (1987), pp. 1–24.
  • K.W. Thompson, Time-dependent boundary conditions for hyperbolic systems, II, J. Comput. Phys. 89 (1990), pp. 439–461.
  • T. Poinsot and S. Lele, Boundary conditions for direct simulations of compressible viscous flows, J. Comput. Phys. 101 (1992), pp. 104–129.
  • J.C. Sutherland and C.A. Kennedy, Improved boundary conditions for viscous, reacting, compressible flows, J. Comput. Phys. 191 (2003), pp. 502–524.
  • C.S. Yoo and H.G. Im, Characteristic boundary conditions for simulations of compressible reacting flows with multi-dimensional, viscous and reaction effects, Combust. Theory Model. 11 (2007), pp. 259–286.
  • C.S. Yoo, Y. Wang, A. Trouvé, and H.G. Im, Characteristic boundary conditions for direct simulations of turbulent counterflow flames, Combust. Theory Model. 9 (2005), pp. 617–646.
  • A. Dutt, L. Greengard, and V. Rokhlin, Spectral deferred correction methods for ordinary differential equations, BIT Numer. Math. 40 (2000), pp. 241–266.
  • A. Bourlioux, A.T. Layton, and M.L. Minion, High-order multi-implicit spectral deferred correction methods for problems of reactive flow, J. Comput. Phys. 189 (2003), pp. 651–675.
  • A.C. Hansen and J. Strain, Convergence theory for spectral deferred correction, preprint (2006); software available at http://www.damtp.cam.ac.uk/research/afha/people/anders/Spectral.pdf.
  • J. Huang, J. Jia, and M. Minion, Accelerating the convergence of spectral deferred correction methods, J. Comput. Phys. 214 (2006), pp. 633–656.
  • A.T. Layton and M.L. Minion, Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics, J. Comput. Phys. 194 (2004), pp. 697–715.
  • M.L. Minion, Semi-implicit spectral deferred correction methods for ordinary differential equations, Commun. Math. Sci. 1 (2003), pp. 471–500.
  • M.L. Minion, Semi-implicit projection methods for incompressible flow based on spectral deferred corrections, Appl. Numer. Math. 48 (2004), pp. 369–387.
  • P. Brown, G. Byrne, and A. Hindmarsh, VODE: A variable-coefficient code solver, SIAM J. Sci. Statist. Comput. 10 (1989), pp. 1038–1051.
  • BoxLib, Center for Computational Sciences and Engineering, Lawrence Berkeley National Laboratory; software available at https://ccse.lbl.gov/BoxLib/.
  • J.B. Bell, M.S. Day, A.S. Almgren, M.J. Lijewski, and C.A. Rendleman, Adaptive numerical simulation of turbulent premixed combustion, in Proceedings of the First MIT Conference on Computational Fluid and Solid Mechanics, Cambridge, MA, June 2001, MIT Press.
  • M.S. Day and J.B. Bell, Numerical simulation of laminar reacting flows with complex chemistry, Combust. Theory Model. 4 (2000), pp. 535–556.
  • A. Nonaka, J.B. Bell, M.S. Day, C. Gilet, A.S. Almgren, and M.L. Minion, A deferred correction coupling strategy for low Mach number flow with complex chemistry, Combust. Theory Model. 16 (2012), pp. 1053–1088.
  • A. Ern, C.C. Douglas, and M.D. Smooke, Detailed chemistry modeling of laminar diffusion flames on parallel computers, Int. J. Supercomput. Applic. 9 (1995), pp. 167–186.
  • A. Ern and V. Giovangigli, Multicomponent Transport Algorithms, Lecture Notes in Physics Vol. m24, Springer-Verlag, Berlin, 1994.
  • J. Li, Z. Zhao, A. Kazakov, and F.L. Dryer, An updated comprehensive kinetic model of hydrogen combustion, Int. J. Chem. Kinetics 36 (2004), pp. 566–575.
  • G.P. Smith, D.M. Golden, M. Frenklach, N.W. Moriarty, B. Eiteneer, M. Goldenberg, C.T. Bowman, R.K. Hanson, S. Song, W.C. Gardiner, Jr., V.V. Lissianski, and Z. Qin, GRI-Mech 3.0; software available at http://www.me.berkeley.edu/gri_mech.
  • G. Bansal, A. Mascarenhas, J.H. Chen, T. Lu, and Z. Luo, Direct numerical simulations of autoignition in stratified dimethyl-ether (DME)/air turbulent mixtures, Combust. Flame, in preparation (2013).

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