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
Abstract
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.
- Authors:
-
- Computer Science and Mathematics, Oak Ridge National Laboratory, P.O. Box 2008 MS-6367, Oak Ridge, TN 37831, USA
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1198442
- Grant/Contract Number:
- 1097055; W-7405-ENG-48
- Resource Type:
- Published Article
- Journal Name:
- Journal of Combustion
- Additional Journal Information:
- Journal Name: Journal of Combustion Journal Volume: 2011; Journal ID: ISSN 2090-1968
- Publisher:
- Hindawi Publishing Corporation
- Country of Publication:
- Egypt
- Language:
- English
Citation Formats
Deiterding, Ralf. 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. Egypt: N. p., 2011.
Web. doi:10.1155/2011/738969.
Deiterding, Ralf. 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. Egypt. https://doi.org/10.1155/2011/738969
Deiterding, Ralf. Sat .
"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". Egypt. https://doi.org/10.1155/2011/738969.
@article{osti_1198442,
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},
author = {Deiterding, Ralf},
abstractNote = {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.},
doi = {10.1155/2011/738969},
journal = {Journal of Combustion},
number = ,
volume = 2011,
place = {Egypt},
year = {Sat Jan 01 00:00:00 EST 2011},
month = {Sat Jan 01 00:00:00 EST 2011}
}
https://doi.org/10.1155/2011/738969
Works referenced in this record:
Local adaptive mesh refinement for shock hydrodynamics
journal, May 1989
- Berger, M. J.; Colella, P.
- Journal of Computational Physics, Vol. 82, Issue 1
Detonation Structure Simulation with AMROC
book, January 2005
- Deiterding, Ralf
- High Performance Computing and Communications
Generalized Runge-Kutta methods of order four with stepsize control for stiff ordinary differential equations
journal, March 1979
- Kaps, Peter; Rentrop, Peter
- Numerische Mathematik, Vol. 33, Issue 1
Chemical kinetics of hydrocarbon oxidation in gaseous detonations
journal, January 1982
- Westbrook, Charles K.
- Combustion and Flame, Vol. 46
Three-Dimensional Adaptive Mesh Refinement for Hyperbolic Conservation Laws
journal, January 1994
- Bell, John; Berger, Marsha; Saltzman, Jeff
- SIAM Journal on Scientific Computing, Vol. 15, Issue 1
A level set approach to Eulerian–Lagrangian coupling
journal, February 2003
- Arienti, Marco; Hung, Patrick; Morano, Eric
- Journal of Computational Physics, Vol. 185, Issue 1
How to preserve the mass fractions positivity when computing compressible multi-component flows
journal, July 1991
- Larrouturou, B.
- Journal of Computational Physics, Vol. 95, Issue 1
A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method)
journal, July 1999
- Fedkiw, Ronald P.; Aslam, Tariq; Merriman, Barry
- Journal of Computational Physics, Vol. 152, Issue 2
Flux-split algorithms for flows with non-equilibrium chemistry and vibrational relaxation
journal, May 1990
- Grossman, B.; Cinnella, P.
- Journal of Computational Physics, Vol. 88, Issue 1
An alternative to unstructured grids for computing gas dynamic flows around arbitrarily complex two-dimensional bodies
journal, January 1994
- Quirk, James J.
- Computers & Fluids, Vol. 23, Issue 1
A parallel adaptive method for simulating shock-induced combustion with detailed chemical kinetics in complex domains
journal, June 2009
- Deiterding, Ralf
- Computers & Structures, Vol. 87, Issue 11-12
Dynamic Parameters of Gaseous Detonations
journal, January 1984
- Lee, J. H. S.
- Annual Review of Fluid Mechanics, Vol. 16, Issue 1
On Godunov-type methods near low densities
journal, February 1991
- Einfeldt, B.; Munz, C. D.; Roe, P. L.
- Journal of Computational Physics, Vol. 92, Issue 2
Multidimensional Dissipation for Upwind Schemes: Stability and Applications to Gas Dynamics
journal, September 1998
- Sanders, Richard; Morano, Eric; Druguet, Marie-Claude
- Journal of Computational Physics, Vol. 145, Issue 2
Wave Propagation Algorithms for Multidimensional Hyperbolic Systems
journal, March 1997
- LeVeque, Randall J.
- Journal of Computational Physics, Vol. 131, Issue 2
Construction and Application of an AMR Algorithm for Distributed Memory Computers
book, September 2003
- Deiterding, Ralf
- Adaptive Mesh Refinement - Theory and Applications
The cellular structure of a two-dimensional H 2 /O 2 /Ar detonation wave
journal, June 2004
- Hu, X. Y.; Khoo, B. C.; Zhang, D. L.
- Combustion Theory and Modelling, Vol. 8, Issue 2
Gas pase detonations: Recent developments
journal, April 1968
- Strehlow, Roger A.
- Combustion and Flame, Vol. 12, Issue 2
Detonation front structure and the competition for radicals
journal, January 2007
- Liang, Z.; Browne, S.; Deiterding, R.
- Proceedings of the Combustion Institute, Vol. 31, Issue 2
Immersed Boundary Methods
journal, January 2005
- Mittal, Rajat; Iaccarino, Gianluca
- Annual Review of Fluid Mechanics, Vol. 37, Issue 1
Object-Oriented Implementation of Adaptive Mesh Refinement Algorithms
journal, January 1993
- Crutchfield, William Y.; Welcome, Michael L.
- Scientific Programming, Vol. 2, Issue 4
The hydrodynamic structure of unstable cellular detonations
journal, May 2007
- Radulescu, Matei I.; Sharpe, Gary J.; Law, Chung K.
- Journal of Fluid Mechanics, Vol. 580
Adaptive Mesh Refinement Using Wave-Propagation Algorithms for Hyperbolic Systems
journal, December 1998
- Berger, Marsha J.; LeVeque, Randall J.
- SIAM Journal on Numerical Analysis, Vol. 35, Issue 6
A Numerical Study of a Two-Dimensional H2-O2-Ar Detonation Using a Detailed Chemical Reaction Model
journal, April 1998
- Oran, Elaine S.; Weber, James W.; Stefaniw, Eliza I.
- Combustion and Flame, Vol. 113, Issue 1-2