High-Resolution Numerical Simulation and Analysis of Mach Reflection Structures in Detonation Waves in Low-Pressure H 2 –O 2 –Ar Mixtures: A Summary of Results Obtained with the Adaptive Mesh Refinement Framework AMROC

Deiterding, Ralf

doi:10.1155/2011/738969

Title: High-Resolution Numerical Simulation and Analysis of Mach Reflection Structures in Detonation Waves in Low-Pressure H ₂ –O ₂ –Ar Mixtures: A Summary of Results Obtained with the Adaptive Mesh Refinement Framework AMROC

Journal Article · Sat Jan 01 00:00:00 EST 2011 · Journal of Combustion

DOI:https://doi.org/10.1155/2011/738969· OSTI ID:1198442

Deiterding, Ralf ^[1]

Computer Science and Mathematics, Oak Ridge National Laboratory, P.O. Box 2008 MS-6367, Oak Ridge, TN 37831, USA

Numerical simulation can be key to the understanding of the multidimensional nature of transient detonation waves. However, the accurate approximation of realistic detonations is demanding as a wide range of scales needs to be resolved. This paper describes a successful solution strategy that utilizes logically rectangular dynamically adaptive meshes. The hydrodynamic transport scheme and the treatment of the nonequilibrium reaction terms are sketched. A ghost fluid approach is integrated into the method to allow for embedded geometrically complex boundaries. Large-scale parallel simulations of unstable detonation structures of Chapman-Jouguet detonations in low-pressure hydrogen-oxygen-argon mixtures demonstrate the efficiency of the described techniques in practice. In particular, computations of regular cellular structures in two and three space dimensions and their development under transient conditions, that is, under diffraction and for propagation through bends are presented. Some of the observed patterns are classified by shock polar analysis, and a diagram of the transition boundaries between possible Mach reflection structures is constructed.

View Journal Article

Cite

Export

Save

Sponsoring Organization:: USDOE

Grant/Contract Number:: 1097055; W-7405-ENG-48

OSTI ID:: 1198442

Journal Information:: Journal of Combustion, Journal Name: Journal of Combustion Vol. 2011; ISSN 2090-1968

Publisher:: Hindawi Publishing CorporationCopyright Statement

Country of Publication:: Egypt

Language:: English

References (24)

Local adaptive mesh refinement for shock hydrodynamics Berger, M. J.; Colella, P. Journal of Computational Physics, Vol. 82, Issue 1 https://doi.org/10.1016/0021-9991(89)90035-1	journal	May 1989
Detonation Structure Simulation with AMROC Deiterding, Ralf High Performance Computing and Communications https://doi.org/10.1007/11557654_103	book	January 2005
Generalized Runge-Kutta methods of order four with stepsize control for stiff ordinary differential equations Kaps, Peter; Rentrop, Peter Numerische Mathematik, Vol. 33, Issue 1 https://doi.org/10.1007/BF01396495	journal	March 1979
Chemical kinetics of hydrocarbon oxidation in gaseous detonations Westbrook, Charles K. Combustion and Flame, Vol. 46 https://doi.org/10.1016/0010-2180(82)90015-3	journal	January 1982
Three-Dimensional Adaptive Mesh Refinement for Hyperbolic Conservation Laws Bell, John; Berger, Marsha; Saltzman, Jeff SIAM Journal on Scientific Computing, Vol. 15, Issue 1 https://doi.org/10.1137/0915008	journal	January 1994
A level set approach to Eulerian–Lagrangian coupling Arienti, Marco; Hung, Patrick; Morano, Eric Journal of Computational Physics, Vol. 185, Issue 1 https://doi.org/10.1016/S0021-9991(02)00055-4	journal	February 2003
How to preserve the mass fractions positivity when computing compressible multi-component flows Larrouturou, B. Journal of Computational Physics, Vol. 95, Issue 1 https://doi.org/10.1016/0021-9991(91)90253-H	journal	July 1991
A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method) Fedkiw, Ronald P.; Aslam, Tariq; Merriman, Barry Journal of Computational Physics, Vol. 152, Issue 2 https://doi.org/10.1006/jcph.1999.6236	journal	July 1999
Flux-split algorithms for flows with non-equilibrium chemistry and vibrational relaxation Grossman, B.; Cinnella, P. Journal of Computational Physics, Vol. 88, Issue 1 https://doi.org/10.1016/0021-9991(90)90245-V	journal	May 1990
An alternative to unstructured grids for computing gas dynamic flows around arbitrarily complex two-dimensional bodies Quirk, James J. Computers & Fluids, Vol. 23, Issue 1 https://doi.org/10.1016/0045-7930(94)90031-0	journal	January 1994
A parallel adaptive method for simulating shock-induced combustion with detailed chemical kinetics in complex domains Deiterding, Ralf Computers & Structures, Vol. 87, Issue 11-12 https://doi.org/10.1016/j.compstruc.2008.11.007	journal	June 2009
Dynamic Parameters of Gaseous Detonations Lee, J. H. S. Annual Review of Fluid Mechanics, Vol. 16, Issue 1 https://doi.org/10.1146/annurev.fl.16.010184.001523	journal	January 1984
On Godunov-type methods near low densities Einfeldt, B.; Munz, C. D.; Roe, P. L. Journal of Computational Physics, Vol. 92, Issue 2 https://doi.org/10.1016/0021-9991(91)90211-3	journal	February 1991
Multidimensional Dissipation for Upwind Schemes: Stability and Applications to Gas Dynamics Sanders, Richard; Morano, Eric; Druguet, Marie-Claude Journal of Computational Physics, Vol. 145, Issue 2 https://doi.org/10.1006/jcph.1998.6047	journal	September 1998
Wave Propagation Algorithms for Multidimensional Hyperbolic Systems LeVeque, Randall J. Journal of Computational Physics, Vol. 131, Issue 2 https://doi.org/10.1006/jcph.1996.5603	journal	March 1997
Construction and Application of an AMR Algorithm for Distributed Memory Computers Deiterding, Ralf Adaptive Mesh Refinement - Theory and Applications https://doi.org/10.1007/3-540-27039-6_26	book	September 2003
The cellular structure of a two-dimensional H ₂ /O ₂ /Ar detonation wave Hu, X. Y.; Khoo, B. C.; Zhang, D. L. Combustion Theory and Modelling, Vol. 8, Issue 2 https://doi.org/10.1088/1364-7830/8/2/008	journal	June 2004
Gas pase detonations: Recent developments Strehlow, Roger A. Combustion and Flame, Vol. 12, Issue 2 https://doi.org/10.1016/0010-2180(68)90083-7	journal	April 1968
Detonation front structure and the competition for radicals Liang, Z.; Browne, S.; Deiterding, R. Proceedings of the Combustion Institute, Vol. 31, Issue 2 https://doi.org/10.1016/j.proci.2006.07.244	journal	January 2007
Immersed Boundary Methods Mittal, Rajat; Iaccarino, Gianluca Annual Review of Fluid Mechanics, Vol. 37, Issue 1 https://doi.org/10.1146/annurev.fluid.37.061903.175743	journal	January 2005
Object-Oriented Implementation of Adaptive Mesh Refinement Algorithms Crutchfield, William Y.; Welcome, Michael L. Scientific Programming, Vol. 2, Issue 4 https://doi.org/10.1155/1993/838429	journal	January 1993
The hydrodynamic structure of unstable cellular detonations Radulescu, Matei I.; Sharpe, Gary J.; Law, Chung K. Journal of Fluid Mechanics, Vol. 580 https://doi.org/10.1017/S0022112007005046	journal	May 2007
Adaptive Mesh Refinement Using Wave-Propagation Algorithms for Hyperbolic Systems Berger, Marsha J.; LeVeque, Randall J. SIAM Journal on Numerical Analysis, Vol. 35, Issue 6 https://doi.org/10.1137/S0036142997315974	journal	December 1998
A Numerical Study of a Two-Dimensional H2-O2-Ar Detonation Using a Detailed Chemical Reaction Model Oran, Elaine S.; Weber, James W.; Stefaniw, Eliza I. Combustion and Flame, Vol. 113, Issue 1-2 https://doi.org/10.1016/S0010-2180(97)00218-6	journal	April 1998

Similar Records

High-resolution numerical simulation and analysis of Mach reflection structures in detonation waves in low-pressure H2 - O2 - Ar mixtures: a summary of results obtained with the adaptive mesh refinement framework AMROC

Journal Article · Sat Jan 01 00:00:00 EST 2011 · Journal of Combustion · OSTI ID:1198442

Deiterding, Ralf

Theory of Mach reflection of detonation at glancing incidence

Journal Article · Tue Dec 06 00:00:00 EST 2016 · Journal of Fluid Mechanics · OSTI ID:1198442

Bdzil, John Bohdan; Short, Mark

Investigation of the adiabat of heterogeneous two-phase detonation

Journal Article · Tue Sep 01 00:00:00 EDT 1987 · Combust., Explos. Shock Waves (Engl. Transl.); (United States) · OSTI ID:1198442

Medvedev, A E; Fedorov, A V; Fomin, V M

Title: High-Resolution Numerical Simulation and Analysis of Mach Reflection Structures in Detonation Waves in Low-Pressure H 2 –O 2 –Ar Mixtures: A Summary of Results Obtained with the Adaptive Mesh Refinement Framework AMROC

Citation Formats

References (24)

Similar Records

Related Subjects

Title: High-Resolution Numerical Simulation and Analysis of Mach Reflection Structures in Detonation Waves in Low-Pressure H ₂ –O ₂ –Ar Mixtures: A Summary of Results Obtained with the Adaptive Mesh Refinement Framework AMROC