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Combustion Theory and Modelling Volume 5, 2001 - Issue 2
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Original Articles

Viscous detonation in H2‒O2‒Ar using intrinsic low-dimensional manifolds and wavelet adaptive multilevel representation

Sandeep Singh Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, IN, 46556-5637, USA
,
Yevgenii Rastigejev Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, IN, 46556-5637, USA
,
Samuel Paolucci Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, IN, 46556-5637, USA
&
Joseph M Powers Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, IN, 46556-5637, USA
Pages 163-184 | Received 11 Apr 2000, Published online: 19 Aug 2006

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Philipp Golda, Andreas Blattmann, Alexander Neagos, Viatcheslav Bykov & Ulrich Maas. (2020) Implementation problems of manifolds-based model reduction and their generic solution. Combustion Theory and Modelling 24:3, pages 377-406.
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V. Bykov & U. Maas. (2007) The extension of the ILDM concept to reaction–diffusion manifolds. Combustion Theory and Modelling 11:6, pages 839-862.
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Articles from other publishers (43)

Matthew J. Zahr & Joseph M. Powers. (2021) High-Order Resolution of Multidimensional Compressible Reactive Flow Using Implicit Shock Tracking. AIAA Journal 59:1, pages 150-164.
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A. N. Semakin & Y. Rastigejev. (2020) Optimized wavelet‐based adaptive mesh refinement algorithm for numerical modeling of three‐dimensional global‐scale atmospheric chemical transport. Quarterly Journal of the Royal Meteorological Society 146:729, pages 1564-1574.
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Qing Xie, Zhixiang Xiao & Zhuyin Ren. (2018) A spectral radius scaling semi-implicit iterative time stepping method for reactive flow simulations with detailed chemistry. Journal of Computational Physics 368, pages 47-68.
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Xiaodong Cai, Ralf Deiterding, Jianhan Liang, Mingbo Sun & Yasser Mahmoudi. (2017) Diffusion and mixing effects in hot jet initiation and propagation of hydrogen detonations. Journal of Fluid Mechanics 836, pages 324-351.
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Xiaoxuan Wu & Tasso J. Kaper. (2017) Analysis of the approximate slow invariant manifold method for reactive flow equations. Journal of Mathematical Chemistry 55:9, pages 1725-1754.
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Charles R. Hean & Eric P. Fahrenthold. (2017) Discrete Lagrange equations for reacting thermofluid dynamics in arbitrary Lagrangian–Eulerian frames. Computer Methods in Applied Mechanics and Engineering 313, pages 303-320.
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A. N. Semakin & Y. Rastigejev. (2016) Numerical Simulation of Global-Scale Atmospheric Chemical Transport with High-Order Wavelet-Based Adaptive Mesh Refinement Algorithm. Monthly Weather Review 144:4, pages 1469-1486.
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C. M. Romick, T. D. Aslam & J. M. Powers. (2015) Verified and validated calculation of unsteady dynamics of viscous hydrogen–air detonations. Journal of Fluid Mechanics 769, pages 154-181.
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Samuel Paolucci, Zachary J. Zikoski & Temistocle Grenga. (2014) WAMR: An adaptive wavelet method for the simulation of compressible reacting flow. Part II. The parallel algorithm. Journal of Computational Physics 272, pages 842-864.
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Samuel Paolucci, Zachary J. Zikoski & Damrongsak Wirasaet. (2014) WAMR: An adaptive wavelet method for the simulation of compressible reacting flow. Part I. Accuracy and efficiency of algorithm. Journal of Computational Physics 272, pages 814-841.
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Christopher Romick, Tariq Aslam & Joseph Powers. (2013) On the resolution necessary to capture dynamics of unsteady detonation. On the resolution necessary to capture dynamics of unsteady detonation.
E. Martelli, M. Valorani, S. Paolucci & Z. Zikoski. (2013) Numerical simulation of edge flames initiation and propagation using an adaptive wavelet collocation method. Proceedings of the Combustion Institute 34:1, pages 1077-1084.
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T. A. Zhuravskaya & V. A. Levin. (2012) Investigation of certain techniques for stabilizing detonationwaves in a supersonic flow. Fluid Dynamics 47:6, pages 793-801.
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C. M. Romick, T. D. Aslam & J. M. Powers. (2012) The effect of diffusion on the dynamics of unsteady detonations. Journal of Fluid Mechanics 699, pages 453-464.
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M. V. Papalexandris. (2012) Numerical study of detonation transmission in mixtures containing chemical inhibitors. Physics of Fluids 24:5.
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Christopher Romick, Tariq Aslam & Joseph Powers. (2012) Dynamics of Unsteady Inviscid and Viscous Detonations in Hydrogen-Air. Dynamics of Unsteady Inviscid and Viscous Detonations in Hydrogen-Air.
John Ibrahim & Samuel Paolucci. (2009) The modeling of realistic chemical vapor infiltration/deposition reactors. International Journal for Numerical Methods in Fluids 64:5, pages 473-516.
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M. Valorani & S. Paolucci. (2009) The G-Scheme: A framework for multi-scale adaptive model reduction. Journal of Computational Physics 228:13, pages 4665-4701.
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Karin König, Viatcheslav Bykov & Ulrich Maas. (2008) Investigation of the Dynamical Response of Methane/Air Counterflow Flames to Inflow Mixture Composition and Flow Field Perturbations. Flow, Turbulence and Combustion 83:1, pages 105-129.
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Tariq Aslam & Joseph Powers. (2009) The Dynamics of Unsteady Detonation in Ozone. The Dynamics of Unsteady Detonation in Ozone.
J.E. Shepherd. (2009) Detonation in gases. Proceedings of the Combustion Institute 32:1, pages 83-98.
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P. Ravindran, R. Bellini, T.-H. Yi & F.K. Lu. 2009. Shock Waves. Shock Waves 401 406 .
V. Levin, V. Markov, T. Zhuravskaya & S. Osinkin. 2009. Shock Waves. Shock Waves 347 351 .
Tariq Aslam & Joseph Powers. (2008) Shock-Fitted Calculations of Unsteady Detonation in Ozone. Shock-Fitted Calculations of Unsteady Detonation in Ozone.
R Prosser. (2016) On the effects of lifting on interpolating wavelets for combustion simulations. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 221:12, pages 1579-1596.
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T. A. Zhuravskaya. (2007) Propagation of detonation waves in plane channels with obstacles. Fluid Dynamics 42:6, pages 987-994.
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R Prosser. (2016) An adaptive algorithm for compressible reacting flows using interpolating wavelets. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 221:11, pages 1397-1410.
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Y. Rastigejev, M. P. Brenner & D. J. Jacob. (2007) Spatial reduction algorithm for atmospheric chemical transport models. Proceedings of the National Academy of Sciences 104:35, pages 13875-13880.
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A. Adrover, F. Creta, M. Giona & M. Valorani. (2007) Stretching-based diagnostics and reduction of chemical kinetic models with diffusion. Journal of Computational Physics 225:2, pages 1442-1471.
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Li Yuan & Tao Tang. (2007) Resolving the shock-induced combustion by an adaptive mesh redistribution method. Journal of Computational Physics 224:2, pages 587-600.
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Ashraf Al-Khateeb, Joseph Powers & Samuel Paolucci. (2007) Verified Computations of Laminar Premixed Flames. Verified Computations of Laminar Premixed Flames.
Y. Li, T. Fei & W. Liu. 2009. New Trends in Fluid Mechanics Research. New Trends in Fluid Mechanics Research 538 541 .
Zhuyin Ren & Stephen B. Pope. (2006) The use of slow manifolds in reactive flows. Combustion and Flame 147:4, pages 243-261.
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Yevgenii A. Rastigejev & Samuel Paolucci. (2006) Wavelet-based adaptive multiresolution computation of viscous reactive flows. International Journal for Numerical Methods in Fluids 52:7, pages 749-784.
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Joseph M. Powers. (2006) Review of Multiscale Modeling of Detonation. Journal of Propulsion and Power 22:6, pages 1217-1229.
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YEVGENII A. RASTIGEJEV & SAMUEL PAOLUCCI. (2011) WAVELET ADAPTIVE MULTIRESOLUTION REPRESENTATION: APPLICATIONS TO VISCOUS MULTISCALE FLOW SIMULATIONS. International Journal of Wavelets, Multiresolution and Information Processing 04:02, pages 333-343.
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Dimitris A. Goussis & Mauro Valorani. (2006) An efficient iterative algorithm for the approximation of the fast and slow dynamics of stiff systems. Journal of Computational Physics 214:1, pages 316-346.
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Joseph Powers & Samuel Paolucci. (2006) Accurate Estimates of Fine Scale Reaction Zone Thicknesses in Hydrocarbon Detonations. Accurate Estimates of Fine Scale Reaction Zone Thicknesses in Hydrocarbon Detonations.
Joseph M. Powers & Samuel Paolucci. (2005) Accurate Spatial Resolution Estimates for Reactive Supersonic Flow with Detailed Chemistry. AIAA Journal 43:5, pages 1088-1099.
Crossref
Joseph Powers & Samuel Paolucci. (2005) Accurate Estimates of Fine Scale Reaction Zone Thicknesses in Gas Phase Detonations. Accurate Estimates of Fine Scale Reaction Zone Thicknesses in Gas Phase Detonations.
Sandeep Singh, Joseph M. Powers & Samuel Paolucci. (2002) On slow manifolds of chemically reactive systems. The Journal of Chemical Physics 117:4, pages 1482-1496.
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Michael J. Davis. (2002) Dynamics of a nonlinear master equation: Low-dimensional manifolds and the nature of vibrational relaxation. The Journal of Chemical Physics 116:18, pages 7828-7838.
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Hans G. Kaper & Tasso J. Kaper. (2002) Asymptotic analysis of two reduction methods for systems of chemical reactions. Physica D: Nonlinear Phenomena 165:1-2, pages 66-93.
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